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Nonoscillation and asymptotic behaviour for third order nonlinear differential equations

Aydın TiryakiA. Okay Çelebi — 1998

Czechoslovak Mathematical Journal

In this paper we consider the equation y ' ' ' + q ( t ) y ' α + p ( t ) h ( y ) = 0 , where p , q are real valued continuous functions on [ 0 , ) such that q ( t ) 0 , p ( t ) 0 and h ( y ) is continuous in ( - , ) such that h ( y ) y > 0 for y 0 . We obtain sufficient conditions for solutions of the considered equation to be nonoscillatory. Furthermore, the asymptotic behaviour of these nonoscillatory solutions is studied.

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