Positive pseudo-symmetric solutions for a nonlocal p-Laplacian boundary value problem

Abstract

This paper is devoted to the study of the following nonlocal p-Laplacian functional differential equation − � φp(x � (t)) � � = λ f(t,x(t),x � (t)) � � 1 0 f(s,x(s),x � (s))ds � n , 0 <t < 1, subject to multi point boundary conditions. We obtain some results on the existence of at least one (when n ∈ Z + )o r triple (whenn = 0) pseudo-symmetric positive solutions by using fixed- point theory in cone.