Electron. J. Diff. Eqns., Vol. 2008(2008), No. 28, pp. 1-11.

Existence results for impulsive evolution differential equations with state-dependent delay

Eduardo Hernandez, Rathinasamy Sakthivel, Sueli Tanaka Aki

Abstract:
We study the existence of mild solution for impulsive evolution abstract differential equations with state-dependent delay. A concrete application to partial delayed differential equations is considered.

Submitted November 26, 2007. Published February 28, 2008.
Math Subject Classifications: 35R10, 34K05.
Key Words: State-dependent delay; abstract Cauchy problem; partial functional-differential equations; evolution operators.

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Eduardo Hernandez M.
Departamento de Matematica
I.C.M. Universidade de Sao Paulo
Caixa Postal 668, 13560-970 Sao Carlos, SP, Brazil
email: lalohm@icmc.sc.usp.br
Rathinasamy Sakthivel
Department of Mechanical Engineering
Pohang University of Science and Technology
Pohang- 790-784, South Korea
email: krsakthivel@yahoo.com
  Sueli Tanaka Aki
Departamento de Matematica
I.C.M. Universidade de Sao Paulo
Caixa Postal 668, 13560-970 Sao Carlos, SP, Brazil
email: smtanaka@icmc.sc.usp.br

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