Monotone method for a system of nonlinear mixed type implicit impulsive integro-differential equations in Banach spaces

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:222

Article

Lan, Heng-you

关键词: Nonlinear mixed type implicit impulsive integro-differential equation system;    Monotone iterative technique;    Initial problem;    Noncompactness measure;    Existence and uniqueness;   

DOI  :  10.1016/j.cam.2007.11.021

来源: Elsevier

【 摘 要 】

In this paper, by using a Monotone iterative technique in the presence of lower and Upper solutions, we discuss the existence of solutions for a new system of nonlinear mixed type implicit impulsive integro-differential equations in Banach spaces. Under wide monotonicity conditions and the noncompactness measure conditions, we also obtain the existence of extremal Solutions and a unique solution between lower and upper solutions. (c) 2007 Elsevier B.V. All rights reserved.

【 授权许可】

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