The Existence Of Positive Solutions Of A Third Order Quasilinear Differential Equations

This paper is concerned with nonoscillatory solutions of the third order quasilinear differential equation andWhereα>0,β>0, p (t ) and q (t ) are continuous functions on an infinite interval [a ,∞) satisfying p (t ) >0 and q (t ) >0, t≥a.Give the necessary and sufficient conditions that equation has specific nonoscillatory solutions when t→∞the equation satisfies∫( ( )) =∞...