Please use this identifier to cite or link to this item: http://scholarbank.nus.edu.sg/handle/10635/103896
Title: Oscillation theorems and existence of positive monotone solutions for second order nonlinear difference equations
Authors: Wong, P.J.Y.
Agarwal, R.P. 
Keywords: Difference equations
Monotone solutions
Oscillatory solutions
Issue Date: Feb-1995
Citation: Wong, P.J.Y.,Agarwal, R.P. (1995-02). Oscillation theorems and existence of positive monotone solutions for second order nonlinear difference equations. Mathematical and Computer Modelling 21 (3) : 63-84. ScholarBank@NUS Repository.
Abstract: We offer sufficient conditions for the oscillation of all solutions of the perturbed difference equation Δ(an-1(Δyn-1)σ) + F(n, yn) = G(n, yn,Δyn), n ≥ 1, as well as for the existence of a positive monotone solution of the damped difference equation Δ(an(Δyn)σ) + bn(Δyn)σ + H(n, yn, Δyn) = 0, n ≥ 0, where 0 < σ = p q with p, q odd integers, or p even and q odd integers. Examples which dwell upon the importance of our results are also included. © 1995.
Source Title: Mathematical and Computer Modelling
URI: http://scholarbank.nus.edu.sg/handle/10635/103896
ISSN: 08957177
Appears in Collections:Staff Publications

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