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|Title:||Oscillation theorems and existence of positive monotone solutions for second order nonlinear difference equations|
|Source:||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|
|Appears in Collections:||Staff Publications|
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