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EXISTENCE RESULTS FOR A CLASS OF ABSTRACT IMPULSIVE DIFFERENTIAL EQUATIONS

Part of: Functional-differential and differential-difference equations Groups and semigroups of linear operators, their generalizations and applications Miscellaneous topics - Partial differential equations

Published online by Cambridge University Press:  18 March 2013

EDUARDO HERNÁNDEZ  and
DONAL O’REGAN
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]
*
✉[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.

Keywords

impulsive differential equationsnonlinear impulseanalytic semigroupnonlinear equations

MSC classification

Secondary: 34K45: Equations with impulses 34K30: Equations in abstract spaces 35R12: Impulsive partial differential equations 47D06: One-parameter semigroups and linear evolution equations
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 87 , Issue 3 , June 2013 , pp. 366 - 385
Copyright
Copyright ©2013 Australian Mathematical Publishing Association Inc. 

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