Research Article
Positive Solutions for Integral Boundary Value Problem with ϕ-Laplacian Operator
Author affiliations
Department of Mathematics, Northwest Normal University, Lanzhou 730070, China
Citation and License
Boundary Value Problems 2011, 2011:827510 doi:10.1155/2011/827510
Published: 23 February 2011Abstract
We consider the existence, multiplicity of positive solutions for the integral boundary
value problem with 
-Laplacian 
, 
, 
, 
, where 
is an odd, increasing homeomorphism from 
onto 
. We show that it has at least one, two, or three positive solutions under some assumptions
by applying fixed point theorems. The interesting point is that the nonlinear term
is involved with the first-order derivative explicitly.
