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 the help of the theory of orthoprojectors and pseudoinverse
Moore–Penrose matrices.
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.
Abstract
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.
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