Abstract
We establish an algebraic criterion of solvability, study the structure of general solutions of linear boundary-value problems for systems of differential equations with pulse effects, and construct the generalized Green's matrix.
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A. M. Samoilenko, N. I. Ronto, and O. O. Kurbanbaev,On the Solution of Boundary-Value Problems for Differential Equations with Pulse Effect [in Russian], Preprint 90. 34, Institute of Mathematics, Ukrainian Academy of Sciences, Kiev (1990).
M. Z. Nashed,Generalized Inverse and Applications, Academic Press, New York (1976).
A. A. Boichuk, “Green's function of a linear inhomogeneous problem,”Dokl. Akad. Nauk Ukr. SSR, Ser. A, No. 7, 2–6 (1988).
W. T. Reid, “Generalized Green's matrices for two-point boundary problems,”SIAM J. Appl. Math.,15, No. 4, 856–870 (1967).
V. M. Zubov, “To the problem of generalized Green's matrices,”Mat. Zametki,15, No. 1, 113–120 (1974).
L. I. Karandjulov, “Structure of the general solutions of boundary-value problems for ordinary differential equations with pulse effect by half-inverse matrices”,Ukr. Mat. Zh.,45, No. 5, 616–626 (1994).
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Published in Ukrainskii Matematicheskii Zhurnal, Vol. 46, No. 7, pp. 849–856, July, 1994.
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Karandjulov, L.I. Generalized Green's matrix for linear pulse boundary-value problems. Ukr Math J 46, 929–937 (1994). https://doi.org/10.1007/BF01056670
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DOI: https://doi.org/10.1007/BF01056670