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

Authors:
Eduardo Hernandez;K. Balachandran;N. Annapoorani
Affiliations:
Instituto de ciencias Matematicas e de Computação, Universidade de Sao Paulo, Caixa Postal 668, CP. 13560-970. Sao Carlos SP, Brazil;Department of Mathematics, Bharathiar University, Coimbatore 641046, India;Department of Mathematics, Bharathiar University, Coimbatore 641046, India
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
2009

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Abstract

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.