On a new class of abstract impulsive differential equations
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- by Eduardo Hernández and Donal O’Regan PDF
- Proc. Amer. Math. Soc. 141 (2013), 1641-1649 Request permission
Abstract:
In this note we introduce a new class of abstract impulsive differential equations for which the impulses are not instantaneous. We introduce the concepts of mild and classical solution and we establish some results on the existence of these types of solutions. An example involving a partial differential equation is presented.References
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Additional Information
- Eduardo Hernández
- Affiliation: Departamento de Computação e Matemática, Faculdade de Filosofia, Ciencias e Letras de Ribeirão Preto, Universidade de São Paulo, CEP 14040-901 Ribeirão Preto, SP, Brazil
- Email: lalohm@ffclrp.usp.br
- Donal O’Regan
- Affiliation: School of Mathematics, Statistics and Applied Mathematics, National University of Ireland, Galway, Ireland
- MR Author ID: 132880
- Email: donal.oregan@nuigalway.ie
- Received by editor(s): September 2, 2011
- Published electronically: October 25, 2012
- Communicated by: Yingfei Yi
- © Copyright 2012 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 141 (2013), 1641-1649
- MSC (2010): Primary 34K30, 34K45, 35R12, 47D06
- DOI: https://doi.org/10.1090/S0002-9939-2012-11613-2
- MathSciNet review: 3020851