Glasnik matematički, Vol. 37 No. 1, 2002.
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
Publication date:
1.6.2002.
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