## International Journal of Differential Equations

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

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

Assia Guezane-Lakoud, Hamidane Nacira, and Khaldi Rabah

#### 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