On abstract differential equations with nonlocal conditions involving the temporal derivative of the solution

被引:2
|
作者
Hernandez, Eduardo [1 ]
dos Santos, Jair Silverio [1 ]
Azevedo, Katia A. G. [1 ]
机构
[1] Univ Sao Paulo, Fac Filosofia Ciencias & Letras, Dept Computacao & Matemat, BR-14040901 Ribeirao Preto, SP, Brazil
来源
INDAGATIONES MATHEMATICAE-NEW SERIES | 2012年 / 23卷 / 03期
关键词
Nonlocal conditions; Abstract Cauchy problem; Analytic semigroup; EVOLUTION-EQUATIONS; INITIAL CONDITIONS; ALPHA-NORM; EXISTENCE; REGULARITY; UNIQUENESS;
D O I
10.1016/j.indag.2012.02.006
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper we discuss the existence of solutions for a class of abstract differential equations with nonlocal conditions for which the nonlocal term involves the temporal derivative of the solution. Some concrete applications to parabolic differential equations with nonlocal conditions are considered. (C) 2012 Royal Dutch Mathematical Society (KWG). Published by Elsevier B.V. All rights reserved.
引用
收藏
页码:401 / 422
页数:22
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