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OALib Journal期刊
ISSN: 2333-9721
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THE LOWER-UPPER SOLUTION METHOD OF INTEGRO-DIFFERENTIAL EQUATIONS ON INFINITE INTERVAL IN BANACH SACES
无限区间上的 Banach 空间积-微分方程的初值问题的上下解方法

Keywords: Banach space,integro-differential equation,lower-upper solution method,kuratowski measure of non-compactness,cone
Banach空间
,积-微分方程,上下解方法,非紧性测度,

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Abstract:

We establish the comparison theorem of integro--differential equations on infinite interval, and, by applying the lower-upper solution method, prove the existence of extreme solutions for nonlinear first order integro-differential equations on infinite interval in Banach spaces.

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