Existence of solutions for first order ordinary differential equations with nonlinear boundary conditions

摘要

We present an existence theorem for nonlinear ordinary differential equations of first order with nonlinear boundary conditions. The result includes, for instance, the initial value problem, the final value problem, and the antiperiodic boundary value problem. The main novelty of the method lies in that it unifies different techniques for initial or boundary conditions. (C) 2003 Elsevier Inc. All rights reserved.