Electron. J. Diff. Eqns., Vol. 2007(2007), No. 21, pp. 1-10.

Existence of solutions for a second order abstract functional differential equation with state-dependent delay

Eduardo Hernandez M.

Abstract:
In this paper we study the existence of mild solutions for abstract partial functional differential equation with state-dependent delay.

Submitted November 27, 2006. Published February 4, 2007.
Math Subject Classifications: 47D09, 34K30.
Key Words: Abstract Cauchy problem; cosine function; unbounded delay, state-dependent delay.

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Eduardo Hernandez M.
Departamento de Matematica
Instituto de Ciencias Matematicas de Sao Carlos
Universidade de Sao Paulo, Caixa Postal 668
13560-970 Sao Carlos, SP. Brazil
email: lalohm@icmc.sc.usp.br

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