Abstract and Applied Analysis

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

Yan Sun

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Abstract

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.

Article information

Source
Abstr. Appl. Anal., Volume 2013 (2013), Article ID 787038, 6 pages.

Dates
First available in Project Euclid: 27 February 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1393512100

Digital Object Identifier
doi:10.1155/2013/787038

Mathematical Reviews number (MathSciNet)
MR3121529

Zentralblatt MATH identifier
07095356

Citation

Sun, Yan. Positive Solutions for Nonlinear Integro-Differential Equations of Mixed Type in Banach Spaces. Abstr. Appl. Anal. 2013 (2013), Article ID 787038, 6 pages. doi:10.1155/2013/787038. https://projecteuclid.org/euclid.aaa/1393512100


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