Existence results for semilinear differential equations

R. Sakthivel; Q. H. Choi; T. Jung

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J. Korean Math. Soc. 2002; 39(5): 775-782

Printed September 1, 2002

Existence results for semilinear differential equations

R. Sakthivel, Q. H. Choi, and T. Jung

Inha University, Inha University, Kunsan National University

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Abstract

In this paper we prove the existence of mild solutions for semilinear differential equations in a Banach space. The results are obtained by using the semigroup theory and the Schaefer fixed point theorem. An example is provided to illustrate the theory.

Keywords: semilinear differential equation, mild solution, Schaefer fixed point theorem

MSC numbers: 34A05, 34G20, 34A09

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Existence results for semilinear differential equations

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Existence results for semilinear differential equations

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