On the Unique Solvability of a Nonlinear Nonlocal Boundary-Value Problem for Systems of Second-Order Functional Differential Equations

Abstract

We establish some optimal, in a certain sense, general conditions sufficient for the unique solvability of the boundary-value problem for a system of nonlinear second-order functional differential equations. The considered class of equations covers, in particular, equations of the neutral type. Specific example is presented to illustrate the general theory.