Existence Of Eventually Positive Solutions Of Fourth-order Quasilinear Ordinary Differential Equations

In this paper we will consider the fourth-order quasilinear diferential equation(p（t）|u"|^α-1u"+q（t）|u|^β-1u=0where α and β are positive constants p q∈C[a,∞),a>0,and p（t）>0,q（t）>0for t≥a and then establish necessary and sufcient integral conditions for the existenceof （nonextremely） eventually positive solutions of the fourth-order quasilinear diferentialequations.