International Journal of Differential Equations

Existence and Positivity of Solutions for a Second-Order Boundary Value Problem with Integral Condition

Assia Guezane-Lakoud, Hamidane Nacira, and Khaldi Rabah

Full-text: Open access

Abstract

This work is devoted to the study of uniqueness and existence of positive solutions for a second-order boundary value problem with integral condition. The arguments are based on Banach contraction principle, Leray Schauder nonlinear alternative, and Guo-Krasnosel’skii fixed point theorem in cone. Two examples are also given to illustrate the main results.

Article information

Source
Int. J. Differ. Equ., Volume 2012 (2012), Article ID 471975, 14 pages.

Dates
Received: 14 January 2012
Accepted: 23 February 2012
First available in Project Euclid: 24 January 2017

Permanent link to this document
https://projecteuclid.org/euclid.ijde/1485226821

Digital Object Identifier
doi:10.1155/2012/471975

Mathematical Reviews number (MathSciNet)
MR2925288

Zentralblatt MATH identifier
1251.34038

Citation

Guezane-Lakoud, Assia; Nacira, Hamidane; Rabah, Khaldi. Existence and Positivity of Solutions for a Second-Order Boundary Value Problem with Integral Condition. Int. J. Differ. Equ. 2012 (2012), Article ID 471975, 14 pages. doi:10.1155/2012/471975. https://projecteuclid.org/euclid.ijde/1485226821


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