Positive Solutions for Nonlinear Integro-Differential Equations of Mixed Type in Banach Spaces

We establish some new existence theorems on the positive solutions for nonlinear integro-differential equations which do not possess any monotone properties in ordered Banach spaces by means of Banach contraction mapping principle and cone theory based on some new comparison results.

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Vydáno v:Abstract and Applied Analysis Ročník 2013; číslo 2013; s. 624 - 629-1062
Hlavní autor: Sun, Yan
Médium: Journal Article
Jazyk:angličtina
Vydáno: Cairo, Egypt Hindawi Limiteds 01.01.2013
Hindawi Puplishing Corporation
Hindawi Publishing Corporation
John Wiley & Sons, Inc
Wiley
Témata:
Banach space
Banach spaces
Differential equations, Nonlinear
Existence theorems
Integral equations
Mappings (Mathematics)
Mathematical research
China
ISSN:1085-3375, 1687-0409
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Shrnutí:We establish some new existence theorems on the positive solutions for nonlinear integro-differential equations which do not possess any monotone properties in ordered Banach spaces by means of Banach contraction mapping principle and cone theory based on some new comparison results.
Bibliografie:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:1085-3375
1687-0409
DOI:10.1155/2013/787038