Title of article
On improper integrals and differential equations in ordered Banach spaces
Author/Authors
S. Heikkila، نويسنده , , M. Kumpulainen، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2006
Pages
25
From page
579
To page
603
Abstract
In this paper we study the existence of improper integrals of vector-valued mappings. The so obtained
results combined with fixed point results in partially ordered functions spaces are then applied
to derive existence and comparison results for least and greatest solutions of initial- and boundaryvalue
problems in ordered Banach spaces. The considered problems can be singular, functional,
nonlocal, implicit and discontinuous. Concrete examples are also solved.
© 2005 Elsevier Inc. All rights reserved
Keywords
Ordered Banach space , Functional , Singular , Implicit , initial value problem , Regular order cone , Least solution , Greatest solution , discontinuous , Nonlocal , Improper integral , Boundary valueproblem
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2006
Journal title
Journal of Mathematical Analysis and Applications
Record number
934601
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