A boundary value problem on the half-line for higher-order nonlinear differential equations

This article is devoted to the study of the existence of solutions as well as the existence and uniqueness of solutions to a boundary-value problem oil the half-line for higher-order nonlinear ordinary differential equations. An existence result is obtained by the use of the Schauder-Tikhonov theorem. Furthermore, an existence and uniqueness criterion is established using the Banach contraction principle. These two results are applied, in particular, to the specific class of higher-order nonlinear ordinary differential equations of Emden-Fowler type and to the special case of higher-order linear ordinary differential equations, respectively. Moreover, some (general or specific) examples demonstrating the applicability Of Our results are given.