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On L-p(k)-equivalence of impulsive differential equations and its applications to partial impulsive differential equations
Journal article   Open access  Peer reviewed

On L-p(k)-equivalence of impulsive differential equations and its applications to partial impulsive differential equations

A. Georgieva, S. Kostadinov, G. T. Stamov and J. O. Alzabut
Advances in difference equations
01/01/2012
DOI: https://doi.org/10.1186/1687-1847-2012-144

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
By means of the Schauder-Tychonoff principle, -equivalence are established between linear and nonlinear perturbed impulsive differential equations with an unbounded linear part in an arbitrary Banach space. The feasibility of our theoretical results is illustrated by an example involving partial impulsive differential equations of the parabolic type. MSC: 34A37, 35Q72, 47H10.
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https://doi.org/10.1186/1687-1847-2012-144View
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