Existence results on semi-infinite intervals for nonlocal evolutions equations and inclusions via semigroup theory

被引：7
|
作者：
Ntouyas, S. K. [1 ]
O'Regan, D. [2 ]
机构：
[1] Univ Ioannina, Dept Math, GR-45110 Ioannina, Greece
[2] Natl Univ Ireland, Dept Math, Galway, Ireland
来源：
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 2008年 / 29卷 / 3-4期
关键词：
cosine families; diagonalization; evolution equations and inclusions; fixed point; semigroups;
D O I：
10.1080/01630560802000934
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we prove existence and controllability results on semi-infinite intervals for first- and second-order evolutions equations and inclusions in Banach spaces with nonlocal conditions. Our theory makes use of semigroups, cosine families, nonlinear alternative of Leray-Schauder and a diagonalization argument.
引用
收藏
页码：419 / 444
页数：26
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