Second order initial value problems with non-absolute integrals in ordered Banach spaces

被引：0
作者：
Heikkila, S. [1 ]
Kumpulainen, M. [1 ]
机构：
[1] Univ Oulu, Dept Math Sci, FIN-90014 Oulu, Finland
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2011年 / 74卷 / 03期
关键词：
HL integrability; Ordered Banach space; Regular order cone; Initial value problem; Implicit; Singular; Functional; Discontinuous; Nonlocal; Solution; Smallest; Greatest; DIFFERENTIAL-EQUATIONS; NONSMOOTH;
D O I：
10.1016/j.na.2010.09.040
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we derive the existence and comparison results for second order initial value problems in ordered Banach spaces. The considered problems can be implicit, singular, functional, discontinuous and nonlocal. The main tools are fixed point results in ordered spaces and the theory of locally HL integrable vector-valued functions. (C) 2010 Elsevier Ltd. All rights reserved.
引用
收藏
页码：901 / 908
页数：8
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