Positive solutions for a fourth-order p-Laplacian boundary value problem with impulsive effects

This paper is devoted to study the existence and multiplicity of positive solutions for the fourth-order p-Laplacian boundary value problem involving impulsive effects {(vertical bar y ''vertical bar(p-1)y '')'' = f(t,y), t is an element of J,t not equal t(k), Delta y'vertical bar(t-tk) = -I-k(y(t(k))), k = 1,2, ... , m, y(0) = y(1) = y ''(0) = y ''(1) = 0, where J = [0, 1], f is an element of C([0, 1] x R+, R+), I-k is an element of C(R+, R+) (R+ := [0,infinity)). Based on a priori estimates achieved by utilizing the properties of concave functions and Jensen's inequality, we adopt fixed point index theory to establish our main results.