To the issue of a generalization of the matrix differential-algebraic boundary-value problem

1. A. A. Boichuk and A. M. Samoilenko, Generalized Inverse Operators and Fredholm Boundary-Value Problems, De Gruyter, Berlin, 2016.

   Book  MATH  Google Scholar 

2. S. L. Campbell, Singular Systems of Differential Equations, Pitman, San Francisco, 1980.

   MATH  Google Scholar 

3. S. M. Chuiko, “A generalized matrix differential-algebraic equation,” J. of Math. Sci., 210, No. 1, 9–21 (2015).

   Article  MathSciNet  MATH  Google Scholar 

4. R. E. Bellman, Introduction to Matrix Analysis, McGraw-Hill, New York, 1987.

   MATH  Google Scholar 

5. A. A. Boichuk and S. A. Krivosheya, “A critical periodic boundary value problem for a matrix Riccati equations,” Diff. Equa., 37, No. 4, 464–471 (2001).

   Article  MathSciNet  MATH  Google Scholar 

6. S. M. Chuiko, “Generalized Green operator of Noetherian boundary-value problem for matrix differential equation,” Russ. Math., 60, No. 8, 64–73 (2016).

   Article  MathSciNet  MATH  Google Scholar 

7. V. F. Chistyakov, Algebraic-Differential Operators with Finite-Dimensional Kernel [in Russian], Nauka, Novosibirsk, 1996.

   Google Scholar 

8. S. M. Chuiko, “Linear Noether boundary-value problems for differential-algebraic systems,” Komp. Issl. Model., 5, No. 5, 769–783 (2013).

   Google Scholar 

9. A. A. Boichuk, A. A. Pokutnyi, and V. F. Chistyakov, “Application of perturbation theory to the solvability analysis of differential algebraic equations,” Comp. Math. Math. Phys., 53, No. 6, 777–788 (2013).

   Article  MathSciNet  MATH  Google Scholar 

10. S. M. Chuiko, “The Green’s operator of a generalized matrix linear differential-algebraic boundary value problem,” Siber. Math. J., 56, No. 4, 752–760 (2015).

    Article  MATH  Google Scholar 

11. A. A. Boichuk and S. A. Krivosheya, “Criterion of the solvability of matrix equations of the Lyapunov type,” Ukr. Math. J., 50, No. 8, 1162–1169 (1998).

    Article  MathSciNet  MATH  Google Scholar 

12. F. R. Gantmacher, The Theory of Matrices, Chelsea, New York, 1960.

    MATH  Google Scholar 

13. V. V. Voevodin and Ya A. Kuznetsov, Matrices and Calculations [in Russian], Nauka, Moscow, 1984.

    Google Scholar 

14. S. M. Chuiko, “On the solutions of the Sylvester matrix equation,” Vest. Odess. Nats. Univ. Ser. Mat. Mekh., 19, No. 1 (21), 49–57 (2014).

    Google Scholar 

15. S. M. Chuiko, “On the solutions of the Lyapunov matrix equations,” Vest. Khar’k. Nats. Univ. im. V. N. Karazina. Ser. Mat., Prikl. Mat. Mekh., 1120, 85–94 (2014).

    MATH  Google Scholar 

16. S. M. Chuiko, “On the solution of the generalized Sylvester matrix equation,” Chebysh. Sbor., 16, No. 1, 52–66 (2015).

    MathSciNet  Google Scholar 

17. S. M. Chuiko, “On the solution of the Lyapunov matrix equation,” Vest. Voron. Gos. Univ. Ser. Fiz. Mat., 3, 176–185 (2015).

    MATH  Google Scholar 

18. L. V. Kantorovich and G. P. Akilov, Functional Analysis, Elsevier, Amsterdam, 1982.

    MATH  Google Scholar 

19. A. N. Kolmogorov and S. V. Fomin, Elements of the Theory of Functions and Functional Analysis, Dover, New York, 1999.

    MATH  Google Scholar 

20. A. A. Boichuk, Constructive Methods of Analysis of Boundary-Value Problems [in Russian], Naukova Dumka, Kiev, 1990.

21. S. M. Chuiko, “Green operator Noetherian linear boundary value problem for the matrix differential equation,” Dynam. syst., 4 (32), No. 1–2, 101–107 (2014).

22. A. A. Boichuk and E. V. Panasenko, “Boundary-value problems for differential equations in a Banach space,” Nonlin. Oscill., 12, No. 1, 15–18 (2009).

    Article  MathSciNet  MATH  Google Scholar 

23. S. M. Chuiko, “On the solvability of a matrix boundary-value problem,” Itogi Nauk. Tekhn. Ser. Sovr. Mat. Ee Pril.”, 132, 139–143 (2017).

    MATH  Google Scholar 

24. S. M. Chuiko, “A linear boundary-value problem for a matrix differential equation,” Diff. Urav., 52, No. 11, 1578–1579 (2016).

    Google Scholar 

Download references