IJPAM: Volume 74, No. 1 (2012)
POSITIVE SOLUTIONS TO A SECOND ORDER
-POINT INTEGRAL BOUNDARY VALUE PROBLEM

Phollakrit Thiramanus
, Jessada Tariboon
Department of Mathematics
Faculty of Applied Science
King Mongkut's University of Technology
North Bangkok, Bangkok, 10800, THAILAND
Centre of Excellence in Mathematics
CHE, Sri Ayutthaya Road
Bangkok 10400, THAILAND



Faculty of Applied Science
King Mongkut's University of Technology
North Bangkok, Bangkok, 10800, THAILAND

CHE, Sri Ayutthaya Road
Bangkok 10400, THAILAND
Abstract. In this paper, by using the fixed-point index theorems, we study
the existence of at least one or two positive solutions to the
nonlinear second order -point integral boundary value problem


where





![$a\in C([0, 1],[0, \infty))$](img11.png)

Received: November 11, 2011
AMS Subject Classification: 34B10, 34B15
Key Words and Phrases: positive solution, boundary value problem, fixed point theorem, Cone
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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2012
Volume: 74
Issue: 1