Position, Degree: Doctor of Physical and Mathematical Sciences, Professor
Position: Leading Researcher
E-mail:
Research Fields: Linear and nonlinear boundary value problems for systems ordinary differential, differential-algebraic, integral-differential and difference equations, systems with delay.
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1981 – Slaviansk state pedagogical Institute, student of physics-mathematical faculty, 1976-1981. 1993 – Institute of Geophysics of the National Academy of Sciences of Ukraine, Kyiv, 1991 – 1993. 1993 – Ph.D. (Phys. & Math. Sc.), Institute of Mathematics of the National Academy of Sciences of Ukraine, Kyiv. 2009 – Doctor of Sciences (Phys. & Math.), Institute of Mathematics of the National Academy of Sciences of Ukraine, Kyiv. 1998 – at present Donbass State Pedagogical University, Head of chair Mathematics and Informatics. 2022 – at present CSC-DMP, Max-Planck-Institut Magdeburg, Germany. 1987 – 1998, Slaviansk State Pedagogical Institute as an assistant and associate professor. 1991 – 1993, studied at the postgraduate level of the Department of Explosion Geodynamics of the Subbotin Institute of Geophysics of the National Academy of Sciences of Ukraine. 1998 – 2012, head of the Department of Economic and Mathematical Disciplines. 2002 – 2012, vice-rector for educational, scientific and pedagogical, and research work. 2010, received the academic title of professor. 2009 – 2012, worked as the acting rector of the Slaviansk State Pedagogical University. 2004 – Badge “Excellent Educationist of Ukraine”; 2007 – Badge “Vasyl Sukhomlynsky”; 2017 – Badge “For Scientific Achievements”. S.M. Chuiko, O.V. Nesmelova, V.O. Kuzmina O. Boichuk , S. Chuiko, V. Chuiko S.M. Chuiko, O.V. Nesmelova, K.S. Shevtsova P. Benner, S. Chuiko, O. Nesmelova P. Benner, S. Chuiko, O. Nesmelova O. Boichuk, S. Chuiko, V. Chuiko P. Benner, S. Chuiko, V. Chuiko S. Chuiko, Y. Silin, K. Shevtsova S. Chuiko, O. Chuiko, D. Diachenko P. Benner, S. Chuiko, A.L. Zuyev O. Boichuk, S. Chuiko, D. Diachenko S. Chuiko, O. Chuiko, D. Diachenko S.M. Chuiko, O.V. Nesmelova O. Boichuk, S. Chuiko, M. Popov S. Chuiko, O. Nesmelova P. Benner, S. Chuiko, V. Chuiko D. Khusainov, S. Chuiko, O. Nesmelova, D. Diachenko S.M. Chuiko, O.V. Nesmelova, K.S. Shevtsova S.M. Chuiko, O.V. Nesmelova, V.O. Kuz’mina S.M. Chuiko, O.S. Chuiko, M.V. Popov S.M. Chuiko, K.S. Shevtsova O.A. Boichuk, S.M. Chuiko, V.O. Kuzmina P. Benner, S. Chuiko, A. Zuyev S.M. Chuiko, O.V. Chuiko, V.O. Kuzmina P. Benner, S. Chuiko, O. Nesmelova O. Boichuk, S. Chuiko, O. Nesmelova S.M. Chuiko, O.V. Nesmelova, Y.V. Kalinichenko S.M. Chuiko A.A. Boichuk, S.M. Chuiko S.M. Chuiko, O.V. Chuiko, Y.V. Kalinichenko S.M. Chuiko, O.V. Chuiko, V.O. Kuz’mina S.M. Chuiko A.A.Boichuk, S.M. Chuiko A.M. Samoilenko, S.M. Chuiko, O.V. Nesmelova S.M. Chuiko, O.V. Nesmelova, M.V. Dzyuba S.M. Chuiko, O.V. Nesmelova, O.S. Chuiko S.M. Chuiko S.M. Chuiko, E.V. Chuiko, Y.V. Kalinichenko S.M. Chuiko, O.V. Nesmelova S.M. Chuĭko S.M. Chuiko A.A. Boichuk, S.M. Chuiko, Y.V. Kalinichenko S.M. Chuiko S.M. Chuiko, D.V. Sysoev S.M. Chuiko, M.V.Dzyuba S.M. Chuiko S.M. Chuiko, O.V. Nesmelova (Starkova) S.M. Chuiko, O.V. Nesmelova, M.V. Dzyuba S.M. Chuiko S.M. Chuiko, A.A. Boichuk S.M. Chuiko Solvability of Linear Matrix Boundary-Value Problem // Russian Mathematics. – 2018. – Vol. 62. – No. 4. – P. 74–85. DOI: 10.3103/S1066369X18040084 S.M. Chuiko On the Solvability of a Matrix Boundary-Value Problem // Journal of Mathematical Sciences (United States). – 2018. – Vol. 230. – No. 5. – P. 794–798. DOI: 10.1007/s10958-018-3792-2 S.M. Chuiko, A.S. Chuiko, D.V. Sysoev A. Samoilenko, A. Boichuk, S. Chuiko S. Chuiko S.M. Chuiko S.M. Chuiko S. Chuiko S.M. Chuiko S.M. Chuiko S.M. Chuiko, E.V. Chuiko, I.A. Boichuk S.M. Chuiko S.M. Chuiko S.M. Chuiko S.M. Chuiko, A.A. Boichuk, I.A. Boichuk S.M. Chuiko, I.A. Boichuk, O.E. Pirus S.M. Chuiko, O.E. Pirus S.M. Chuiko, A.S. Chuiko S.M. Chuiko S.M. Chuiko, I.A. Boichuk S.M. Chuiko, I.A. Boichuk S.M. Chuiko, O.V. Starkova S.M. Chuiko A.A. Boichuk, S.M. Chuiko S.M. Chuiko A.A. Boichuk, S.M. Chuiko A.A. Boichuk, S.M. Chuiko S.M. Chuiko S.M. Chuiko S.M.Chuiko S.M.Chuiko S.M.Chuiko S.M.Chuiko S.M. Chuiko A.A. Boichuk, S.M. Chuiko A.A. Boichuk, E.V. Chuiko,S.M. Chuiko A.A. Boichuk, V.F. Zhuravlev, S.M. Chuiko 2009 – 2012 participated in the implementation of the joint German-Ukrainian scientific project “Smoothness and methods of approximation of classes of smooth functions”, which was financed by the German Research Foundation; 2009 to the present – heads the state budget topic on the theory of boundary value problems and the theory of approximations of functions; 2009 to the present – heads the interdepartmental laboratory “Boundary Value Problems of the Theory of Differential Equations” on behalf of the Donbas State Pedagogical University, jointly with the Department of Differential Equations and Theory of Oscillations of the Institute of Mathematics of the NAS of Ukraine; 2016 to the present – member of the editorial boards of the professional Bulletin of the V.N. Karazin Kharkiv National University. Series: Mathematics, Applied Mathematics and Mechanics and the scientific journal “Proceedings of the Institute of Applied Mathematics and Mechanics of the NAS of Ukraine”; 2015 to the present appointed as an expert of the Scientific Council of the Ministry of Education and Science of Ukraine. Member of the expert group on mathematics of the Ministry of Education and Science of Ukraine for reviewing textbooks for secondary schools; 2021 Member of the expert group on mathematics of the Ministry of Education and Science of Ukraine for assessing the effectiveness of higher education institutions in terms of their scientific (scientific and technical) activities in the scientific direction “Mathematical Sciences and Natural Sciences” since 2020; 2016 to the present appointed as a member of the Scientific Council of the Institute of Applied Mathematics and Mechanics of the NAS of Ukraine. Teaching Experience: Courses: “Differential equations”, “Boundary value problem for ordinary differential equations”, “Boundary value problem for functional differential equations”, “Theory of nonlinear oscillations”, “Theory of numerical methods”, “Probablity theory of and statistics”, “Theory of generalized inverse operators and their applications”, Donbass State Pedagogical University (1987 – 2026). Professional Memberships 2008 AMS member; 2022 MPS member; 2023 GAMM member. Supervision of Graduate Students:
ON REGULARIZATION OF AN INTEGRO-DIFFERENTIAL BOUNDARY VALUE PROBLEM UNSOLVED WITH RESPECT TO THE DERIVATIVE, BY PERTURBING THE BOUNDARY CONDITION // Journal of Mathematical Sciences (United States). – 2026. – Vol. 299. – No. 1. – P. 1–10. DOI: 10.1007/s10958-026-08394-3
Adomian Decomposition Method in the Theory of Nonlinear Boundary-Value Problems with Delay Under the Conditions of Parametric Resonance // Ukrainian Mathematical Journal. – 2026. – Vol. 78. – No. 3. DOI: 10.1007/s11253-026-02578-5
PERIODIC PROBLEM FOR A LIÈNARD-TYPE EQUATION WITH SWITCHINGS AT NON-FIXED POINTS IN TIME // Journal of Mathematical Sciences (United States). – 2025. – Vol. 292. – No. 4. – P. 439–452. DOI: 10.1007/s10958-025-07931-w
ADOMIAN DECOMPOSITION METHOD IN THE THEORY OF NONLINEAR BOUNDARY-VALUE PROBLEMS UNSOLVED WITH RESPECT TO THE DERIVATIVE // Journal of Mathematical Sciences (United States). – 2025. – Vol. 295. – No. 5. – P. 493–507.
DOI: 10.1007/s10958-026-08200-0
AUTONOMOUS PERIODIC BOUNDARY-VALUE PROBLEMS WITH SWITCHINGS AT NONFIXED TIMES // Journal of Mathematical Sciences (United States). – 2025. – Vol. 295. – No. 6. – P. 673–698. DOI: 10.1007/s10958-026-08216-6
ADOMIAN DECOMPOSITION METHOD IN THE THEORY OF PROBLEMS INVERSE TO NONLINEAR BOUNDARY-VALUE PROBLEMS WITH DELAY // Journal of Mathematical Sciences (United States). – 2025. – Vol. 291. – No. 6. – P. 919–932. DOI: 10.1007/s10958-025-07868-0
LEAST SQUARES METHOD IN THE THEORY OF NONLINEAR PERIODIC BOUNDARY VALUE PROBLEMS WITH CONCENTRATED DELAY // Functional Differential Equations. – 2025. – Vol. 32. – No. 1-2. – P. 7–35. DOI: 10.26351/FDE/32/1-2/1
ADOMIAN DECOMPOSITION METHOD IN THE THEORY OF AUTONOMOUS NONLINEAR BOUNDARY-VALUE PROBLEMS WITH SWITCHINGS AT NONFIXED POINTS OF TIME // Journal of Mathematical Sciences (United States). – 2025. – Vol. 294. – No. 4. – P. 633–649. DOI: 10.1007/s10958-025-08121-4
Autonomous Boundary-Value Problem Unsolved with Respect to the Derivative // Journal of Mathematical Sciences (United States). – 2025. – Vol. 287. – No. 3. – P. 519–532. DOI: 10.1007/s10958-025-07619-1
Iterative Schemes for Periodic Boundary-Value Problems with Switchings // Journal of Mathematical Sciences (United States). – 2024. – Vol. 278. – No. 6. – P. 932–949. DOI: 10.1007/s10958-024-06972-x
Adomian’s Decomposition Method in the Theory of Nonlinear Autonomous Boundary-Value Problems // Ukrainian Mathematical Journal. – 2024. – Vol. 75. – No. 8. – P. 1203–1218. DOI: 10.1007/s11253-023-02256-w
On Approximate Solutions of a Nonlinear Periodic Boundary-Value Problem with Switching in the Case of Parametric Resonance by the Newton–Kantorovich Method // Journal of Mathematical Sciences (United States). – 2024. – Vol. 279. – No. 3. – P. 438–453. DOI: 10.1007/s10958-024-07023-1
On the reduction of an autonomous nonlinear boundary value problem unsolved with respect to the derivative to the first-order critical case // Journal of Mathematical Sciences (United States). – 2024. – Vol. 279. – No. 1. – P. 1–21. DOI: 10.1007/s10958-024-06984-7
Adomian Decomposition Method in the Theory of Nonlinear Boundary-Value Problems // Ukrainian Mathematical Journal. – 2024. – Vol. 76. – No. 6. – P. 923–936. DOI: 10.1007/s11253-024-02363-2
Periodic Boundary-Value Problem for a Rayleigh-Type Equation Unsolved with Respect to the Derivative // Ukrainian Mathematical Journal. – 2024. – Vol. 75. – No. 10. – P. 1621–1633. DOI: 10.1007/s11253-024-02282-2
Adomian Decomposition Method in The Theory of Nonlinear Periodic Boundary Value Problems with Delay // CEUR Workshop Proceedings. – 2023. – Vol. 3687. – P. 98–106. https://ceur-ws.org/Vol-3687/Short_2.pdf
A Nonlinear Autonomous Boundary Value Problem for a Non-Degenerate Differential-Algebraic System // CEUR Workshop Proceedings. – 2023. – Vol. 3746. – P. 90–95 https://ceur-ws.org/Vol-3746/Short_2.pdf
Differential-Algebraic Boundary-Value Problems with Impulsive Action // Journal of Mathematical Sciences (United States). – 2023. – Vol. 273. – No. 2. – P. 316–331. DOI: 10.1007/s10958-023-06500-3
Generalized Green’s operator of the matrix integral-differential boundary value problem unsolved with respect to the derivative // Journal of Mathematical Sciences (United States). – 2023. – Vol. 276. – No. 5. – P. 603–613. DOI: 10.1007/s10958-023-06785-4
Adomian Decomposition Method in the Theory of Nonlinear Boundary-Value Problems // Journal of Mathematical Sciences (United States). – 2023. – Vol. 277. – No. 2. – P. 338–351. DOI: 10.1007/s10958-023-06837-9
Solvability conditions for nonlinear matrix equations // Journal of Mathematical Sciences (United States). – 2023. – Vol. 270. – No. 3. – P. 407–419. DOI: 10.1007/s10958-023-06354-9
Nonlinear Integrodifferential Boundary-Value Problems with Deviating Argument Unsolved with Respect to the Derivative // Ukrainian Mathematical Journal. – 2023. – Vol. 74. – No. 9. – P. 1334–1347. DOI: 10.1007/s11253-023-02139-0
A periodic boundary value problem with switchings under nonlinear perturbations // Boundary Value Problems. – 2023. – Vol. 2023. – No. 1. DOI: 10.1186/s13661-023-01734-1
Nonlinear Integrodifferential Boundary-Value Problems Unsolvable with Respect to the Derivative // Journal of Mathematical Sciences (United States). – 2023. – Vol. 270. – No. 2. – P. 385–395. DOI: 10.1007/s10958-023-06352-x
Least-Squares Method in the Theory of Nonlinear Boundary-Value Problems Unsolved with Respect to the Derivative // Ukrainian Mathematical Journal. – 2023. – Vol. 75. – No. 1. – P. 40–55. DOI: 10.1007/s11253-023-02184-9
ON A REDUCTION OF A NONLINEAR AUTONOMOUS BOUNDARY-VALUE PROBLEM TO A CRITICAL CASE OF THE FIRST ORDER // Miskolc Mathematical Notes. – 2023. – Vol. 24. – No. 1. – P. 105–117. DOI: 10.18514/MMN.2023.3930
Conditions of Solvability of the Problem Inverse to the Cauchy Problem for a Difference-Algebraic Equation // Journal of Mathematical Sciences (United States). – 2023. – Vol. 272. – No. 2. – P. 316–329. DOI: 10.1007/s10958-023-06419-9
A Differential-Algebraic Boundary Value Constant-Delay Problem in the Case of a Variable-Rank Matrix at the Derivative // Russian Mathematics. – 2022. – Vol. 66. – No. 6. – P. 54–64. DOI: 10.3103/S1066369X22060020
On the Approximate Solution of Weakly Nonlinear Boundary-Value Problems by the Newton–Kantorovich Method // Journal of Mathematical Sciences (United States). – 2022. – Vol. 261. – No. 2. – P. 228–240. DOI: 10.1007/s10958-022-05748-5
Nonlinear Difference-Algebraic Boundary-Value Problem in the Case of Parametric Resonance // Journal of Mathematical Sciences (United States). – 2022. – Vol. 265. – No. 4. – P. 703–717. DOI: 10.1007/s10958-022-06078-2
Solutions of the Boundary-Value Problem for a Matrix Integrodifferential Equation with Degenerate Kernel // Journal of Mathematical Sciences (United States). – 2022. – Vol. 263. – No. 2. – P. 341–349. DOI: 10.1007/s10958-022-05929-2
Conditions for the Solvability of the Problem Inverse to the Linear Autonomous Noether Boundary-Value Problem // Journal of Mathematical Sciences (United States). – 2022. – Vol. 268. – No. 2. – P. 147–156. DOI: 10.1007/s10958-022-06188-x
On Approximate Solutions of Nonlinear Boundary-Value Problems by the Newton–Kantorovich Method // Journal of Mathematical Sciences (United States). – 2021. – Vol. 258. – No. 5. – P. 594–617. DOI: 10.1007/s10958-021-05569-y
Nonlinear Boundary-Value Problems Unsolved with Respect to the Derivative // Ukrainian Mathematical Journal. – 2021. – Vol. 72. – No. 8. – P. 1280–1293. DOI: 10.1007/s11253-020-01852-4
On the Approximate Solution of Matrix Differential-Algebraic Boundary-Value Problems by the Least-Squares Method // Journal of Mathematical Sciences (United States). – 2021. – Vol. 253. – No. 2. – P. 323–337. DOI: 10.1007/s10958-021-05231-7
Autonomous Noetherian Boundary-Value Problem in the Case of Parametric Resonance // Journal of Mathematical Sciences (United States). – 2021. – Vol. 256. – No. 5. – P. 713–725. DOI: 10.1007/s10958-021-05455-7
Differential-algebraic boundary-value problems with the variable rank of leading-coefficient matrix // Journal of Mathematical Sciences (United States). – 2021. – Vol. 259. – No. 1. – P. 10–22. DOI: 10.1007/s10958-021-05597-8
Boundary-Value Problems for Systems of Linear Difference-Algebraic Equations // Journal of Mathematical Sciences (United States). – 2021. – Vol. 254. – No. 2. – P. 318–333. DOI: 10.1007/s10958-021-05307-4
Nonlinear boundary-value problems for degenerate differential-algebraic systems // Journal of Mathematical Sciences (United States). – 2021. – Vol. 252. – No. 4. – P. 463–471. DOI: 10.1007/s10958-020-05174-5
A Generalized Green Operator for a Linear Noetherian Differential-Algebraic Boundary Value Problem // Siberian Advances in Mathematics. – 2020. – Vol. 30. – No. 3. – P. 177–191. DOI: 10.3103/S1055134420030037
On the Solution of a Linear Noetherian Boundary-Value Problem for a Differential-Algebraic System with Concentrated Delay by the Method of Least Squares // Journal of Mathematical Sciences (United States). – 2020. – Vol. 246. – No. 5. – P. 622–630. DOI: 10.1007/s10958-020-04768-3
Linear Noetherian Boundary-Value Problem for a Matrix Difference Equation // Ukrainian Mathematical Journal. – 2020. – Vol. 72. – No. 3. – P. 386–402. DOI: 10.1007/s11253-020-01789-8
Solvability of Cauchy Problem for a Differential-Algebraic System with Concentrated Delay // Russian Mathematics. – 2019. – Vol. 63. – No. 12. – P. 80–95. DOI: 10.3103/S1066369X19120090
Periodic Matrix Boundary-Value Problems with Concentrated Delay // Journal of Mathematical Sciences (United States). – 2019. – Vol. 243. – No. 2. – P. 326–337. DOI: 10.1007/s10958-019-04542-0
Matrix Differential-Algebraic Boundary-Value Problem with Pulsed Action // Journal of Mathematical Sciences (United States). – 2019. – Vol. 238. – No. 3. – P. 333–343. DOI: 10.1007/s10958-019-04239-4
The method of least squares in the theory of Noetherian differential-algebraic boundary-value problems // Journal of Mathematical Sciences (United States). – 2019. – Vol. 242. – No. 3. – P. 381–392. DOI: 10.1007/s10958-019-04484-7
Autonomous Noether Boundary-Value Problems not Solved with Respect to the Derivative // Journal of Mathematical Sciences (United States). – 2018. – Vol. 230. – No. 5. – P. 799–803. DOI: 10.1007/s10958-018-3793-1
Least-Squares Method in the Theory of Matrix Differential-Algebraic Boundary-Value Problems // Ukrainian Mathematical Journal. – 2018. – Vol. 70. – No. 2. – P. 319–333. DOI: 10.1007/s11253-018-1502-3
On a Reduction of the Order in a Differential-Algebraic System // Journal of Mathematical Sciences (United States). – 2018. – Vol. 235. – No. 1. – P. 2–14. DOI: 10.1007/s10958-018-4054-z
Autonomous Periodic Boundary-Value Problem for a Matrix Differential Equation // Journal of Mathematical Sciences (United States). – 2018. – Vol. 228. – No. 3. – P. 323–334. DOI: 10.1007/s10958-017-3624-9
Weakly Nonlinear Matrix Boundary-Value Problem in the Case of Parametric Resonance // Journal of Mathematical Sciences (United States). – 2017. – Vol. 223. – No. 3. – P. 337–350. DOI: 10.1007/s10958-017-3359-7
Hybrid difference-differential boundary-value problem // Miskolc Mathematical Notes. – 2017. – Vol. 18. – No. 2. – P. 1015–1031. DOI: 10.18514/MMN.2017.2280
Nonlinear matrix differential-algebraic boundary value problem // Lobachevskii Journal of Mathematics. – 2017. – Vol. 38. – No. 2. – P. 236–244. DOI: 10.1134/S1995080217020056
To the issue of a generalization of the matrix differential-algebraic boundary-value problem // Journal of Mathematical Sciences (United States). – 2017. – Vol. 227. – No. 1. – P. 13–25. DOI: 10.1007/s10958-017-3571-5
On the regularization of a matrix differential-algebraic boundary-value problem // Journal of Mathematical Sciences (United States). – 2017. – Vol. 220. – No. 5. – P. 591–602. DOI: 10.1007/s10958-016-3202-6
Weakly nonlinear boundary value problem for a matrix differential equation // Miskolc Mathematical Notes. – 2016. – Vol. 17. – No. 1. – P. 139–150. DOI: 10.18514/MMN.2016.1312
Generalized green operator of Noetherian boundary-value problem for matrix differential equation // Russian Mathematics. – 2016. – Vol. 60. – No. 8. – P. 64–73. DOI: 10.3103/S1066369X16080089
The Green’s operator of a generalized matrix differential-algebraic boundary value problem // Siberian Mathematical Journal. – 2015. – Vol. 56. – No. 4. – P. 752–760. DOI: 10.1134/S0037446615040175
Reduction of the Fredholm Boundary-Value Problem to the Critical Case of the First Order // Journal of Mathematical Sciences (United States). – 2015. – Vol. 208. – No. 5. – P. 607–610. DOI: 10.1007/s10958-015-2470-x
Nonlinear Noetherian Boundary-Value Problem in the Case of Parametric Resonance // Journal of Mathematical Sciences (United States). – 2015. – Vol. 205. – No. 6. – P. 859–870. DOI: 10.1007/s10958-015-2289-5
A generalized matrix differential-algebraic equation // Journal of Mathematical Sciences (United States). – 2015. – Vol. 210. – No. 1. – P. 9–21. DOI: 10.1007/s10958-015-2545-8
On the Regularization of a Linear Fredholm Boundary-Value Problem by a Degenerate Pulsed Action // Journal of Mathematical Sciences (United States). – 2014. – Vol. 197. – No. 1. – P. 138–150. DOI: 10.1007/s10958-014-1710-9
Nonlinear Noetherian Second-Order Boundary-Value Problems in the Critical Case // Journal of Mathematical Sciences (United States). – 2014. – Vol. 198. – No. 3. – P. 351–360. DOI: 10.1007/s10958-014-1795-1
On the approximate solution of an autonomous boundary-value problem by the Newton-Kantorovich method // Journal of Mathematical Sciences (United States). – 2013. – Vol. 189. – No. 5. – P. 867–881. DOI: 10.1007/s10958-013-1225-9
On the approximate solution of autonomous boundary-value problems by the Newton method // Journal of Mathematical Sciences (United States). – 2013. – Vol. 191. – No. 3. – P. 449–463. DOI: 10.1007/s10958-013-1329-2
On approximate solution of periodic boundary-value problems with delay by the least-squares method in the critical case // Nonlinear Oscillations. – 2012. – Vol. 14. – No. 3. – P. 445–460. DOI: 10.1007/s11072-012-0169-1
Least-squares method in the theory of ill-posed linear boundary-value problems with pulse action // Ukrainian Mathematical Journal. – 2010. – Vol. 62. – No. 5. – P. 794–803. DOI: 10.1007/s11253-010-0389-4
Nonlinear Noetherian boundary-value problems in the critical case // Nonlinear Oscillations. – 2010. – Vol. 13. – No. 1. – P. 128–146. DOI: 10.1007/s11072-010-0105-1
Autonomous noetherian boundary-value problem in the critical case // Nonlinear Oscillations. – 2009. – Vol. 12. – No. 3. – P. 417–428. DOI: 10.1007/s11072-010-0085-1
On the approximate solution of autonomous boundary-value problems by the least-squares method // Nonlinear Oscillations. – 2009. – Vol. 12. – No. 4. – P. 574–591. DOI: 10.1007/s11072-010-0095-z
Weakly nonlinear boundary-value problem in a special critical case // Ukrainian Mathematical Journal. – 2009. – Vol. 61. – No. 4. – P. 657–673. DOI: 10.1007/s11253-009-0227-8
Bifurcation of solutions of an impulsive boundary-value problem // Nonlinear Oscillations. – 2008. – Vol. 11. – No. 1. – P. 18–28. DOI: 10.1007/s11072-008-0011-y
On approximate solution of boundary-value problems by the least squares method // Nonlinear Oscillations. – 2008. – Vol. 11. – No. 4. – P. 585–604. DOI: 10.1007/s11072-009-0053-9
Method of accelerated convergence for the construction of solutions of a Noetherian boundary-value problem // Ukrainian Mathematical Journal. – 2008. – Vol. 60. – No. 12. – P. 1861–1877. DOI: 10.1007/s11253-009-0176-2
Generalized green operator for an impulsive boundary-value problem with switchings // Nonlinear Oscillations. – 2007. – Vol. 10. – No. 1. – P. 46–61. DOI: 10.1007/s11072-007-0005-1
Bifurcation of solutions of a linear Fredholm boundary-value problem // Ukrainian Mathematical Journal. – 2007. – Vol. 59. – No. 8. – P. 1274–1279. DOI: 10.1007/s11253-007-0087-z
Domain of convergence of an iterative procedure for an autonomous boundary-value problem // Nonlinear Oscillations. – 2006. – Vol. 9. – No. 3. – P. 405–422. DOI: 10.1007/s11072-006-0053-y
Acceleration of convergence of an iteration procedure for a weakly nonlinear boundary-value problem // Nonlinear Oscillations. – 2006. – Vol. 9. – No. 1. – P. 125–130. DOI: 10.1007/s11072-006-0031-4
A Generalized Green Operator for a Boundary Value Problem with Impulse Action // Differential Equations. – 2001. – Vol. 37. – No. 8. – P. 1189–1193. DOI: 10.1023/A:1012440123296
A Green operator for boundary value problems with an impulsive effect // Doklady Mathematics. – 2001. – Vol. 64. – No. 1. – P. 41–43
Almost periodic solutions to weakly nonlinear equations in critical cases // Doklady Mathematics. – 1998. – Vol. 57. – No. 2. – P. 230–232
Almost periodical solutions of nonlinear systems in critical cases // Doklady Akademii Nauk. – 1998. – Vol. 359. – No. 3. – P. 316–318.
The generalized Green operator of a linear quasiperiodic problem // Differential Equations. – 1996. – Vol. 32. – No. 4. – P. 451–458.
Periodic solutions of autonomous systems with pulse influence in critical cases // Ukrainian Mathematical Journal. – 1995. – Vol. 47. – No. 11. – P. 1688–1695. DOI: 10.1007/BF01057917
Periodic solutions of nonlinear autonomous systems in critical cases // Ukrainian Mathematical Journal. – 1990. – Vol. 42. – No. 9. – P. 1049–1054. DOI: 10.1007/BF01056595