On the Mean-Value Theorem Corresponding to a Given Linear Homogeneous Differential Equations

Abstract

Summary:In this paper we are concerned with sufficient conditions for the existence of minimal and maximal solutions of differential equations of the form [ L_{4}y+f(t,y)=0,, ] where $L_{4}y$ is the iterated linear differential operator of order $4$ and $fcolon [a,infty ) imes (0,infty ) ightarrow (0,infty )$ is a continuous function