The existence of solution for boundary value problems for differential equations with deviating arguments and p-Laplacian
We consider a boundary value problem for a differential equation with deviating arguments and p-Laplacian: , x’(t), x’(τ(t))) = 0, t ∈ [0,1]; t ≤ 0; , t ≥ 1. An existence result is obtained with the help of the Leray-Schauder degree theory, with no restriction on the damping forces d/dt grad F(x).