Parabolic inclusions with nonlocal conditions

被引：0

作者：

Boucherif, Abdelkader ^{[1
]}

机构：

[1] King Fahd Univ Petr & Minerals, Dept Math & Stat, Dhahran 31261, Saudi Arabia

来源：

RECENT DEVELOPMENTS IN NONLINEAR ANALYSIS | 2010年

关键词：

Parabolic problems; Integral representation of solutions; Maximum principles; Multivalued maps; Non local conditions; Fixed point theorems; Lower and upper solutions; EXISTENCE; EQUATIONS; UNIQUENESS; THEOREMS;

D O I：

10.1142/9789814295574_0005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we consider the solvability of nonlinear parabolic differential equations with discontinuous nonlinearities, subjected to nonlocal conditions. We are concerned with the existence of solutions. Our technique is based on the Green's function for linear parabolic partial differential equations, the maximum principle, fixed point theorems for multivalued maps and the method of lower and upper solutions.

引用

页码：54 / 71

页数：18

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