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

E. Thandapani
I. M. Arockiasamy

Sažetak

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.

Ključne riječi

Difference equation; asymptotic behavior; nonoscillatory

Hrčak ID:

4817

URI

https://hrcak.srce.hr/4817

Datum izdavanja:

1.6.2002.

Posjeta: 1.115 *