Nonoscillatory Solutions Of Fourth Order Nonlinear Differential Equations

This paper is concerned with the existence of eventually positive solutions of the fourth-order nonlinear differential equation whereα>0,β>0 and and are continuous functions defined on an infinite interval , and satisfying and for . Under the assumptionsβ<α≤1 and 1 <β<α, necessary and sufficient integral conditions are established for the existence of eventually positive solutions.