Properties of the solutions set for a class of nonlinear evolution inclusions with nonlocal conditions

被引：0
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作者：
Jingrui Zhang
Yi Cheng
Changqin Yuan
Fuzhong Cong
机构：
[1] Beijing Institute of Technology,School of Aerospace Engineering
[2] Aviation University of Air Force,Fundamental Department
[3] Jilin University,Institute of Mathematics
来源：
Boundary Value Problems | / 2013卷
关键词：
evolution inclusions; nonlocal conditions; Leray-Schauder alternative theorem; extremal solutions;
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摘要：
In this paper, we consider the nonlocal problems for nonlinear first-order evolution inclusions in an evolution triple of spaces. Using techniques from multivalued analysis and fixed point theorems, we prove existence theorems of solutions for the cases of a convex and of a nonconvex valued perturbation term with nonlocal conditions. Also, we prove the existence of extremal solutions and a strong relaxation theorem. Some examples are presented to illustrate the results.
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