01.01.02 (Differential equations, dynamical systems, and optimal control)
Birth date:
24.09.1959
E-mail:
Keywords:
boundary value problems,
systems ordinary value equations.
UDC:
517.9
Subject:
Boundary value problems for systems ordinary value problems.
Main publications:
Bojchuk A., Chuiko S. Autonomous Weakly Nonlinear Boundary Value Problems in Critical Cases // Differential Equations. 1992. ¹ 10. P. 1353–1358.
Bojchuk A., Chuiko S. Generalized Green operator for a linear quaziperiodic problem // Differential Equations. ¹ 4. 1996. P. 451–458.
Chujko S. M. Almost-periodic solutions to weakly nonlinear equations in critical cases // Jorn. Dokl. Math. V. 57, No. 2. 1998. P. 230–232.
Chuiko S. M. The Green operator for a boundary value problem with impulse action // Jh. Dokl. Math. No. 1. 2001. P. 41–43.
Chuiko S. M. A Generalized Green operator for a boundary value problem with impulse action // Differential Equations. No. 8. 2001. P. 1189–1193.
Bojchuk A. A., Chujko S. M. Generalized green operator for an impulsive boundary-value problem with switchings // Nonlinear Oscillations (N.Y.) ¹ 1. 2007. P. 46&ndah;61.
S. M. Chujko, “Boundary-value problem for a differential-algebraic system with constant delay with variable rank of leading coefficient matrix”, Russian Math. (Iz. VUZ), 66:6 (2022), 54–64
2.
S. M. Chujko, Mat. Tr., 23:1 (2020), 187–206
3.
S. M. Chuiko, “Solvability of Cauchy problem for a differential-algebraic system with concentrated delay”, Russian Math. (Iz. VUZ), 63:12 (2019), 80–95
4.
S. M. Chuiko, “On solvability of linear matrix boundary-value problem”, Russian Math. (Iz. VUZ), 62:4 (2018), 74–85
5.
S. M. Chujko, O. V. Nesmelova (Starkova), “Autonomous Noether boundary-value problems not solved with respect to the derivative”, J. Math. Sci. (N. Y.), 230:5 (2018), 799–803
6.
S. M. Chujko, “On the solvability of a matrix boundary-value problem”, J. Math. Sci. (N. Y.), 230:5 (2018), 794–798
7.
S. M. Chuiko, “Generalized Green operator of Noetherian boundary-value problem for matrix differential equation”, Russian Math. (Iz. VUZ), 60:8 (2016), 64–73
8.
S. M. Chuiko, “On the solution of the bilinear matrix equation”, Chebyshevskii Sb., 17:2 (2016), 196–205
9.
SM Chuiko, OV Starkova, DV Sysoev, “Nonlinear matrix boudary-value problem in the case of parametric resonance”, Computer research and modeling, 7:4 (2015), 821–833
10.
SM Chuiko, “A generalized matrix differential-algebraic equation”, Journal of Mathematical Sciences, 210:1 (2015), 9–21 , Springer US
SM Chuiko, EV Chuiko, IA Boichuk, “Reduction of the fredholm boundary-value problem to the critical case of the first order”, Journal of Mathematical Sciences, 208:5 (2015), 607–619 , Springer US
S. M. Chuiko, “The Green's operator of a generalized matrix differential-algebraic boundary value problem”, Siberian Math. J., 56:4 (2015), 752–760
13.
SM Chuiko, “Nonlinear Noetherian Boundary-Value Problem in the Case of Parametric Resonance”, Journal of Mathematical Sciences, 205:6 (2015), 859–870 , Springer US
S. M. Chuiko, “On the solution of the generalized matrix Sylvester equations”, Chebyshevskii Sb., 16:1 (2015), 52–66
15.
S. M. Chujko, ,, “Nonlinear boudary value problem in the case of parametric resonance”, Computer Research and Modeling, 7:4 (2015), 821–833
16.
SM Chuiko, “Linear Noether boundary value problems for degenerate differential-algebraic systems with linear pulse conditions”, Dynam. Syst., 4 (32):1–2 (2014), 89–100
17.
SM Chuiko, “Green operator Noetherian linear boundary value problem for the matrix differential equation”, Dynam. Syst., 4 (32):1–2 (2014), 101–107
18.
SM Chuiko, OV Starkova, PV Kulish, “Periodic boudary-value problem for Hill's equation in the case of parametric resonance”, Computer research and modeling, 6:1 (2014), 27–43
SM Chuiko, An A Boichuk, IA Boichuk, “Nonlinear Noetherian Second-Order Boundary-Value Problems in the Critical Case”, Journal of mathematical sciences, 198:3 (2014), 351–360 , Springer
SM Chuiko, “On the regularization of a linear Fredholm boundary-value problem by a degenerate pulsed action”, Journal of mathematical sciences, 197:1 (2014), 138–150 , Springer
SM Chuiko, “On the solution of the matrix Sylvester equation”, Visnyk Odesskogo Natsionalnogo Universitety (Math. and Mech.), 19:1(21) (2014), 49–57
22.
SM Chuiko, EV Chuiko, AV Belushenko, “On regularization of the linear matrix equation”, Visn., Ser. Fiz.-Mat. Nauky, Kyiv. Univ. Im. Tarasa Shevchenka, 2014, no. 1, 12–14
23.
S. M. Chujko, “Boundary value problems for differential-algebraic systems with interfaceconditions”, Computer Research and Modeling, 6:4 (2014), 465–477
24.
S. M. Chujko, O. V. Starkova, P. V. Kulish, “Periodic boudary-value problem for hill's equationin the case of parametric resonance”, Computer Research and Modeling, 6:1 (2014), 27–43
25.
SM Chuiko, “Linear Noether boundary value problems for differential-algebraic systems”, Computer research and modeling, 5:5 (2013), 769–783
SM Chuiko, EV Chuiko, PV Kulish, “Periodic boundary value problem for an Hill equation in the case of parametric resonance”, Dynam. Syst., 3 (31):1–2 (2013), 151–158
27.
SM Chuiko, AS Chuiko, PV Kulish, “The approximate solution of the autonomous periodic boundary value problems with delay by the least squares”, Dynam. Syst., 3 (31):3–4 (2013), 309–320
28.
SM Chuiko, OE Pirus, “On the approximate solution of autonomous boundary-value problems by the Newton method”, Journal of Mathematical Sciences, 191:3 (2013), 449–463 , Springer US
AA Boichuk, SM Chuiko, M Ruzickova, Linearne okrajove ulohy, 2013
30.
SM Chuiko, IA Boichuk, OE Pirus, “On the approximate solution of an autonomous boundary-value problem by the Newton–Kantorovich method”, Journal of Mathematical Sciences, 189:5 (2013), 867–881 , Springer US
S. M. Chujko, “Linear noether boundary value problem for linear differential-algebraic system”, Computer Research and Modeling, 5:5 (2013), 769–783
32.
SM Chuiko, OV Starkova, “A modified two-step iterative technique for constructing functions Mathieu”, Computer research and modeling, 4:1 (2012), 31–43
SM Chuiko, OV Starkova, OE Pirus, “Nonlinear Noether boundary value problems are not solved for the derivative”, Dynam. Syst., 2(30):1–2 (2012), 169–186
34.
SM Chuiko, AS Chuiko, “On approximate solution of periodic boundary-value problems with delay by the least-squares method in the critical case”, Nonlinear Oscillations, 2012, 1–16 , Springer New York
35.
SM Chuiko, PV Kulish, “A linear Noetherian boundary value problem in the case of parametric resonance”, Proceedings of the Institute of Applied Mathematics and Mechanics, 2012, 243–252 , Nats. Akad. Nauk Ukrainy Inst. Prikl. Mat. Mekh.
36.
S. M. Chujko, O. V. Starkova, “The modified twosweep
iteration technique for the constraction of
Mathieus functions”, Computer Research and Modeling, 4:1 (2012), 31–43
37.
SM Chuiko, AS Chuiko, “The approximate solution of Noether boundary value problems by method of least squares”, Dynam. Syst., 29 (2011), 103–111
38.
SM Chuiko, AS Chuiko, OE Pirus, “Approximate solutions of Noetherian boundary value problems in a critical case”, Proceedings of the Institute of Applied Mathematics and Mechanics, 2011, 197–206 , Nats. Akad. Nauk Ukrainy Inst. Prikl. Mat. Mekh.
39.
SM Chuiko, OV Starkova, AS Chuiko, “Autonomous Noether boundary value problem in the particular critical case”, Computer research and modeling, 3:4 (2011), 337–357
40.
S. M. Chujko, O. V. Starkova, A. S. Chuiko, “Autonomous noetherian boundary-value problem in special critical case”, Computer Research and Modeling, 3:4 (2011), 337–351
41.
SM Chuiko, OV Starkova, “The approximate solution of periodic boundary value problems with delay method of least squares”, Dynam. Syst., 28 (2010), 133–140
42.
SM Chuiko, AS Chuiko, “The approximate solution of periodic boundary value problems with delay method of least squares”, Dynam. Syst., 28 (2010), 133–140
43.
SM Chuiko, IA Boichuk, “Nonlinear Noetherian boundary-value problems in the critical case”, Nonlinear Oscillations, 13:1 (2010), 128–146 , Springer
SM Chuiko, “Least-squares method in the theory of ill-posed linear boundary-value problems with pulse action”, Ukrainian Mathematical Journal, 62:5 (2010), 794–803 , Springer
SM Chuiko, AS Chuiko, “Boundary value problems with impulse action on the interface of two media for delay systems”, Proceedings of the Institute of Applied Mathematics and Mechanics, 2010, 228–237 , Nats. Akad. Nauk Ukrainy Inst. Prikl. Mat. Mekh.
46.
SM Chuiko, OV Starkova, “The two-step iterative scheme for the construction of Mathieu functions”, Dynam. Syst., 26 (2009), 103–113
47.
SM Chuiko, OV Starkova, “Autonomous boundary-value problems in the special critical case”, Dynam. Syst., 27 (2009), 127–142
48.
SM Chuiko, IA Boichuk, “Autonomous Noetherian boundary-value problem in the critical case”, Nonlinear Oscillations, 12:3 (2009), 417–428 , Springer
IA Boichuk, OV Starkova, SM Chujko, “Weakly perturbed nonlinear boundary-value problem in critical case”, Studies of the University of Zilina. Math. series.–2009.–23, 2009, no. 1, 1–8
50.
SM Chuiko, OV Starkova, “On the approximate solution of autonomous boundary-value problems by the least-squares method”, Nonlinear Oscillations, 12:4 (2009), 574–591 , Springer
SM Chuiko, “On approximate solution of boundary-value problems by the least squares method”, Nonlinear Oscillations, 11:4 (2008), 585–604 , Springer US
SM Chuiko, AS Chuiko, “Boundary value problems with switching and impulse actions on the interface of two media”, Proceedings of the Institute of Applied Mathematics and Mechanics, 2008, 197–207 , Nats. Akad. Nauk Ukrainy Inst. Prikl. Mat. Mekh.
56.
AA Boichuk, SM Chuiko, “Generalized green operator for an impulsive boundary-value problem with switchings”, Nonlinear Oscillations, 10:1 (2007), 46–61 , Springer US
SM Chuiko, “Bifurcation of solutions of a linear Fredholm boundary-value problem”, Ukrainian Mathematical Journal, 59:8 (2007), 1274–1279 , Springer US
SM Chuiko, “New iteration algorithm for the boundary value problem in noncritical case”, Dynamical systems, 22 (2007), 109–114
59.
SM Chuiko, Kurilchenko IV, “About equilibrium autonomous periodic problem”, Dynam. Syst., 23 (2007), 31–37
60.
SM Chuiko, “Domain of convergence of an iterative procedure for an autonomous boundary-value problem”, Nonlinear Oscillations, 9:3 (2006), 405–422 , Kluwer Academic Publishers-Consultants Bureau
SM Chuiko, “Acceleration of convergence of an iteration procedure for a weakly nonlinear boundary-value problem”, Nonlinear Oscillations, 9:1 (2006), 125–130 , Springer
AA Boichuk, SM Chuiko, AS Chuiko, “Nonautonomous periodic boundary-value problems in a special critical case”, Nonlinear Oscillations, 7:1 (2004), 52–64 , Kluwer Academic Publishers-Plenum Publishers
S. M. Chujko, Differ. Uravn., 37:8 (2001), 1132–1135
66.
SM Chuiko, EV Chuiko, “Generalized Green operator of the Cauchy problem with pulse action”, Dokl. Nats. Akad. Nauk Ukr., 1999, no. 6, 43–47
67.
SM Chuiko, “Almost Periodic Solutions to Weakly Nonlinear Equations in Critical Cases”, Doklady. Mathematics, 57:2 (1998), 230–232 , Maik Nauka/Interperiodica
68.
A. A. Boichuk, S. M. Chujko, “Generalized Green operator for a linear quasiperiodic problem”, Differ. Equ., 32:4 (1996), 451–458
69.
A. A. Boichuk, S. M. Chujko, Differ. Uravn., 32:4 (1996), 450–457
70.
AA Boichuk, EV Chuiko, SM Chuiko, “Periodic solutions of autonomous systems with pulse influence in critical cases”, Ukrainian Mathematical Journal, 47:11 (1995), 1688–1695 , Springer
AA Boichuk, SM Chuiko, “The Green operator of a critical quasiperiodic boundary value problem”, Dokl. Nats. Akad. Nauk Ukr., 1993, no. 5, 9–12
72.
A. A. Boichuk, S. M. Chujko, “Autonomous weakly nonlinear boundary value problems”, Differ. Equ., 28:10 (1992), 1353–1358
73.
AA Boichuk, SM Chuiko, “Periodic solutions of nonlinear autonomous systems with delay in critical cases”, Dokl. Nats. Akad. Nauk Ukr., 1991, no. 9, 9–13
74.
AA Boichuk, VF Zhuravlev, SM Chuiko, “Periodic solutions of nonlinear autonomous systems in critical cases”, Ukrainian Mathematical Journal, 42:9 (1990), 1049–1054 , Kluwer Academic Publishers-Plenum Publishers