Electron. J. Diff. Eqns., Vol. 2004(2004), No. 31, pp. 1-14.

N-th order impulsive integro-differential equations in Banach spaces

Manfeng Hu & Jiang Zhu

Abstract:
We investigate the maximal and minimal solutions of initial value problem for N-th order nonlinear impulsive integro-differential equation in Banach space by establishing a comparison result and using the upper and lower solutions methods.

Submitted August 14, 2003. Published March 3, 2004.
Math Subject Classifications: 45J05, 47H07, 34A12.
Key Words: Integro-differential equations in Banach spaces, cone, partial ordering, monotone iterative technique.

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  Manfeng Hu
Department of Science, Jiangnan University
Wuxi 214000, China, and
Department of Mathematics, Xuzhou Normal University
Xuzhou 221116, China
Jiang Zhu
Department of Mathematics, Xuzhou Normal University
Xuzhou 221116, China
email: jzhuccy@yahoo.com.cn

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