On Non-local Boundary-Value Problems for Higher-Order Non-linear Functional Differential Equations

Abstract

Some optimal, in a sense, general conditions sufficient for a unique solvability of the non-local boundary-value problem for higher-order non-linear functional differential equations are established. The class of equations considered covers, in particular, non-linear equations with transformed argument, integro-differential equations and neutral equations. Example is presented to illustrate the optimality of results.