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)) _x005F_x0004__x005F_x0005_ 1 0 f(s,x(s),x (s))ds_x005F_x0006_n , 0 < t < 1, subject to multi point boundary conditions. We obtain some results on the existence of at least one (when n ∈ Z+ ) or triple (when n = 0 ) pseudo-symmetric positive solutions by using fixedpoint theory in cone.