Existence of solutions for nonlinear mixed type integro-differential functional evolution equations with nonlocal conditions

被引：0
作者：
Shengli Xie
机构：
[1] Anhui University of Architecture,Department of Mathematics and Physics
来源：
Boundary Value Problems | / 2012卷
关键词：
integro-differential functional evolution equation; mild solution; nonlocal conditions; fixed point; Banach spaces;
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摘要：
Using the Mönch fixed point theorem, this article proves the existence of mild solutions for nonlinear mixed type integro-differential functional evolution equations with nonlocal conditions in Banach spaces. Some restricted conditions on a priori estimation and measure of noncompactness estimation have been deleted, and compactness conditions of evolution operators or compactness conditions on a nonlinear term f(t,Xr,Xr,Xr) have been weakened. Our results extend and improve many known results.
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