Electron. J. Diff. Eqns., Vol. 2007(2007), No. 33, pp. 1-6.

Nonlocal Cauchy problem for quasilinear integrodifferential equations in Banach spaces

Mariappan Chandrasekaran

Abstract:
The aim of this paper is to prove the existence of mild solutions of the nonlocal Cauchy problem for a nonlinear integrodifferential equation. The results are established by using the method of semigroup and the Schaefer theorem.

Submitted February 6, 2007. Published February 27, 2007.
Math Subject Classifications: 34K05, 34K30.
Key Words: Nonlocal conditions; mild Solutions; nonlinear equation; Schaefer theorem.

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Mariappan Chandrasekaran
Department of Mathematics
Sri Shakthi Institute of Engineering and Technology
Coimbatore, Tamil Nadu, India
email: m_chands_2000@yahoo.com

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