Solvability of nonlinear pseudoparabolic equation with a nonlocal boundary condition

被引：23
|
作者：
Bouziani, A [1 ]
机构：
[1] Larben Ben Mhidi Univ Ctr, Oum El Bouagui 04000, Algeria
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2003年 / 55卷 / 7-8期
关键词：
nonlinear pseudoparabolic equation; generalized solution; a priori estimate; nonlocal condition;
D O I：
10.1016/j.na.2003.07.011
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The aim of this paper is to investigate a class of nonlinear pseudo-parabolic equations with a nonlocal condition. We first establish the existence, uniqueness and continuous dependence of a strong generalized solution, by using the energy-integral method. Then, by applying an iterative process based on results obtained for the linear problem, we prove the existence, uniqueness and continuous dependence of the weak generalized solution of the nonlinear problem. (C) 2003 Elsevier Ltd. All rights reserved.
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页码：883 / 904
页数：22
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