Weakly perturbed impulsive boundary-value problem for integrodifferential systems in the resonance case

DOI10.1007/S10958-023-06567-YzbMath1521.45004OpenAlexW4384205782MaRDI QIDQ6177399

I. A. Bondar, O. P. Strakh

Publication date: 31 August 2023

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-023-06567-y

zbMATH Keywords

existence of solutionssystems of integro-differential equationsimpulsive boundary-value problems

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Functional-differential equations with impulses (34K45) Applications of operator theory to differential and integral equations (47N20) Systems of nonlinear integral equations (45G15) Boundary value problems for functional-differential equations (34K10) Perturbations of functional-differential equations (34K27) Applications of generalized inverses (15A10)

Cites Work

• Generalized inverse operators and Fredholm boundary-value problems. Translated from the Russian by P. V. Malyshev
• Boundary value problems for systems of integro-differential equations with degenerate kernel
• Weakly perturbed systems of linear integro-dynamic equations on time scales
• Weakly nonlinear boundary-value problems for systems of impulsive integrodifferential equations. Critical case of the second order
• Weakly perturbed integrodifferential equations with degenerate kernel in Banach spaces
• Bifurcation of solutions of the boundary-value problem for systems of integrodifferential equations with degenerate kernel
• THE SOLUTION OF SOME PERTURBATION PROBLEMS FOR MATRICES AND SELFADJOINT OR NON-SELFADJOINT DIFFERENTIAL EQUATIONS I
• Weakly Perturbed Boundary-Value Problems for Systems of Integro-Differential Equations
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