Asymptotic behaviour of the solutions of a certain type of the third order differential equations
This paper is concerned with the problem of asymptotic equivalence for positive rapidly decaying solutions of a class of second order quasilinear ordinary differential equations. Its application to exterior Dirichlet problems is also given.
In the paper we study the existence of nonoscillatory solutions of the system , with the property for some . Sufficient conditions for the oscillation of solutions of the system are also proved.