Displaying similar documents to “Oscillation of nonlinear differential systems with retarded arguments”

Oscillatory and nonoscillatory behaviour of solutions of difference equations of the third order

N. Parhi, Anita Panda (2008)

Mathematica Bohemica

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In this paper, sufficient conditions are obtained for oscillation of all solutions of third order difference equations of the form y n + 3 + r n y n + 2 + q n y n + 1 + p n y n = 0 , n ≥ 0 . These results are generalization of the results concerning difference equations with constant coefficients y n + 3 + r y n + 2 + q y n + 1 + p y n = 0 , n ≥ 0 . Oscillation, nonoscillation and disconjugacy of a certain class of linear third order difference equations are discussed with help of a class of linear second order difference equations.