Global Solutions for Abstract Differential Equations with Non-Instantaneous Impulses

Artículos de revistas

Fecha

2016-08-01

Registro en:

Mediterranean Journal Of Mathematics. Basel: Springer Basel Ag, v. 13, n. 4, p. 1685-1708, 2016.

1660-5446

http://hdl.handle.net/11449/159006

10.1007/s00009-015-0609-0

WOS:000380671700019

WOS000380671700019.pdf

Autor

Universidade de São Paulo (USP)

Univ Santiago USACH

Universidade Estadual Paulista (Unesp)

Institución

Universidade Estadual Paulista (Brasil)

Resumen

In this note we study the existence of global solutions for a class of impulsive abstract differential equations with non-instantaneous impulses. Specifically, we establish the existence of mild solutions on and the existence of -asymptotically -periodic mild solutions. Our results are based on the Hausdorff measure of non-compactness. Some applications involving partial differential equations are considered.

Materias

First-order abstract Cauchy problem

impulsive differential equations

mild solutions

asymptotically periodic solutions

strongly continuous semigroups of linear operators

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