Weakly Perturbed Impulsive Boundary-Value Problem for Integrodifferential Systems in the Resonance Case

We establish conditions for the existence of solutions of weakly perturbed impulsive boundary-value problems for systems of integrodifferential equations and determine the structure of these solutions. The sufficient condition for the existence of solutions of these problems are investigated with th...

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Veröffentlicht in:	Journal of mathematical sciences (New York, N.Y.) N.Y.), 2023-07, Vol.274 (1), p.13-24
Hauptverfasser:	Bondar, I. A., Strakh, O. P.
Format:	Artikel
Sprache:	eng
Schlagworte:	Boundary value problems Mathematical analysis Mathematics Mathematics and Statistics
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	We establish conditions for the existence of solutions of weakly perturbed impulsive boundary-value problems for systems of integrodifferential equations and determine the structure of these solutions. The sufficient condition for the existence of solutions of these problems are investigated with the help of the theory of orthoprojectors and pseudoinverse Moore–Penrose matrices.
ISSN:	1072-3374 1573-8795
DOI:	10.1007/s10958-023-06567-y