Original scientific paper

Oscillatory and asymptotic properties of solutions of nonlinear fourth order difference equations

E. Thandapani
I. M. Arockiasamy

Abstract

The authors consider the difference equation

Δ2 (rn Δ2 yn) qn f(yn) = Qn; n = 1,2,3,... (*)

where rn > 0, qn > 0, for all n 1 and f : is continuous such that uf(u) > 0 for u 0. Dividing the solutions of (*) into several classes for the cases Qn = 0 and Qn 0, the authors obtain conditions for the existence / nonexistence of solutions of (*) in these classes. Examples are inserted to illustrate the results.

Keywords

Difference equation; asymptotic behavior; nonoscillatory

Hrčak ID:

4817

URI

https://hrcak.srce.hr/4817

Publication date:

1.6.2002.

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