Title of article
Differential equations with non-absolutely integrable functions in ordered Banach spaces Original Research Article
Author/Authors
S. Heikkila، نويسنده , , M. Kumpulainen، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2010
Pages
9
From page
4082
To page
4090
Abstract
In this paper we derive existence and comparison results for 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 theory of HL integrable vector-valued functions. Concrete examples are presented and solved.
Keywords
Explicit , singular , Functional , Discontinuous , Nonlocal , Solution , Smallest , Greatest , HL integrability , Regular order cone , ordered Banach space , Implicit , initial value problem
Journal title
Nonlinear Analysis Theory, Methods & Applications
Serial Year
2010
Journal title
Nonlinear Analysis Theory, Methods & Applications
Record number
862430
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