Existence results for a class of abstract impulsive differential equations

Authors

  • Eduardo Hernández Departamento de computação e matematica, universidade de São Paulo, Brasil
  • Donal O' Regan Department of Mathematics National University of Ireland Galway, Ireland.

Keywords:

Impulsive differential equations, nonlinear impulse, analytic semigroup, nonlinear equations.

Abstract

We study the existence of solutions for a class of abstract impulsive differential equations. Our technical framework allows us to study partial differential equations with impulsive conditions involving partial derivatives and nonlinear expressions of the solution. Some applications to impulsive partial differential equations are presented. 10.1017/S0004972713000154

Published

2013-04-29

Issue

Vol. 87 No. 3 (2013)

Section

Articles
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