Displaying similar documents to “Asymptotic behaviour of oscillatory solutions of a fourth-order nonlinear differential equation”

Global monotonicity and oscillation for second order differential equation

Miroslav Bartušek, Mariella Cecchi, Zuzana Došlá, Mauro Marini (2005)

Czechoslovak Mathematical Journal

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Oscillatory properties of the second order nonlinear equation ( r ( t ) x ' ) ' + q ( t ) f ( x ) = 0 are investigated. In particular, criteria for the existence of at least one oscillatory solution and for the global monotonicity properties of nonoscillatory solutions are established. The possible coexistence of oscillatory and nonoscillatory solutions is studied too.

On oscillation and asymptotic property of a class of third order differential equations

N. Parhi, Seshadev Pardi (1999)

Czechoslovak Mathematical Journal

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In this paper, oscillation and asymptotic behaviour of solutions of y ' ' ' + a ( t ) y ' ' + b ( t ) y ' + c ( t ) y = 0 have been studied under suitable assumptions on the coefficient functions a , b , c ∈ C ( [ σ , ∞ ) , R ) , σ ∈ R , such that a ( t ) ≥ 0 , b ( t ) ≤ 0 and c ( t ) < 0 .