Existence results for a damped second order abstract functional differential equation with impulses

HERNANDEZ, Eduardo; BALACHANDRAN, K.; ANNAPOORANI, N.

Artículos de revistas

Fecha

2009

Registro en:

MATHEMATICAL AND COMPUTER MODELLING, v.50, n.11/Dez, p.1583-1594, 2009

0895-7177

http://producao.usp.br/handle/BDPI/20926

10.1016/j.mcm.2009.09.007

http://dx.doi.org/10.1016/j.mcm.2009.09.007

http://repositorioslatinoamericanos.uchile.cl/handle/2250/1617705

Autor

HERNANDEZ, Eduardo

BALACHANDRAN, K.

ANNAPOORANI, N.

Institución

Universidade de São Paulo (Brasil)

Resumen

In this work we study the existence and regularity of mild solutions for a damped second order abstract functional differential equation with impulses. The results are obtained using the cosine function theory and fixed point criterions. (C) 2009 Elsevier Ltd. All rights reserved.

Materias

Damped second order impulsive differential equation

Cosine functions of operators

Mild solution

Strong solution

Classical solution

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