The Existence Of Eventually Positive Solutions Of Fourth Order Quasilinear Differential Equations

This paper is concerned with nonoscillatory solutions of the fourth order quasilinear differential equation whereα>0,β>0, p(t) and q(t) are continuous functions on an infinite interval t≥a, satisfying p(t)>0, q(t)>0(t≥a), and necessary and sufficient integral conditions are established for the existence of nonoscillatory solutions having specific asymptotic growths as t→∞, when the equation satisfies...