Journal of Applied Mathematics and Stochastic Analysis
Volume 6 (1993), Issue 1, Pages 83-91
doi:10.1155/S1048953393000085
Abstract
In this paper we shall study the existence of the extremal
solutions of a nonlinear boundary value problem of a second order
differential equation with general Dirichlet/Neumann form boundary
conditions. The right hand side of the differential equation is assumed to
contain a deviating argument, and it is allowed to possess discontinuities
in all the variables. The proof is based on a generalized iteration
method.