Some results on boundary value problems for functional differential equations

Abstract

Existence results for a second order boundary value problem for functional differential equation, are givn. The results are based on the nonlinear Alternative, of Leray-Schauder and rely on a priori bounds on solutions. These results are generalizations of recent results from ordinary differential equations and complete our earlier results on the same problem.

Keywords

• boundary value problems
• functional differential equations
• a priori bounds
• Leray-Schauder alternative.