Electron. J. Diff. Eqns., Vol. 2002(2002), No. 96, pp. 1-13.

Existence results for second-order neutral functional differential and integrodifferential inclusions in Banach spaces

Haeng Joo Lee, Jeongyo Park, & Jong Yeoul Park

Abstract:
In this paper, we investigate the existence of mild solutions on a compact interval to second order neutral functional differential and integrodifferential inclusions in Banach spaces. The results are obtained by using the theory of continuous cosine families and a fixed point theorem for condensing maps due to Martelli.

Submitted August 8, 2002. Published November 6, 2002.
Math Subject Classifications: 34A60, 34K40, 45K05.
Key Words: Mild solution, neutral functional differential and integrodifferential inclusions, fixed point.

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Haeng Joo Lee
Department of Mathematics
Pusan National University
Pusan 609-735, Korea
e-mail: leehj@pusan.ac.kr
Jeongyo Park
Department of Mathematics
Pusan National University
Pusan 609-735, Korea
e-mail: khpjy@hanmail.net
Jong Yeoul Park
Department of Mathematics
Pusan National University
Pusan 609-735, Korea
e-mail: jyepark@pusan.ac.kr

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