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EXISTENCE RESULTS FOR A CLASS OF ABSTRACT IMPULSIVE DIFFERENTIAL EQUATIONS

Published online by Cambridge University Press:  18 March 2013

EDUARDO HERNÁNDEZ*
Affiliation:
Departamento de Computação e Matemática, Faculdade de Filosofia Ciêcias e Letras de Ribeirão Preto, Universidade de São Paulo, CEP14040-901 Ribeirão Preto, SP, Brazil
DONAL O’REGAN
Affiliation:
Department of Mathematics, National University of Ireland, Galway, Ireland email [email protected]
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Abstract

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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.

Type
Research Article
Copyright
Copyright ©2013 Australian Mathematical Publishing Association Inc. 

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