Displaying similar documents to “The oscillation of an m th order perturbed nonlinear difference equation”

An integral condition of oscillation for equation y ' ' ' + p ( t ) y ' + q ( t ) y = 0 with nonnegative coefficients

Anton Škerlík (1995)

Archivum Mathematicum

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Our aim in this paper is to obtain a new oscillation criterion for equation y ' ' ' + p ( t ) y ' + q ( t ) y = 0 with a nonnegative coefficients which extends and improves some oscillation criteria for this equation. In the special case of equation (*), namely, for equation y ' ' ' + q ( t ) y = 0 , our results solve the open question of C h a n t u r i y a .

Oscillation theorems for neutral differential equations with the quasi-derivatives

Miroslava Růžičková, E. Špániková (1994)

Archivum Mathematicum

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The authors study the n-th order nonlinear neutral differential equations with the quasi – derivatives L n [ x ( t ) + ( - 1 ) r P ( t ) x ( g ( t ) ) ] + δ Q ( t ) f ( x ( h ( t ) ) ) = 0 , where n ≥ 2 , r ∈ { 1 , 2 } , and δ = ± 1 . There are given sufficient conditions for solutions to be either oscillatory or they converge to zero.