Glasnik matematički, Vol. 33 No. 2, 1998.
Original scientific paper
Oscillation and nonoscillation of quasilinear difference equations of second order
E. Thandapani
L. Ramuppillai
Abstract
In this paper the authors establish conditions for the oscillatory and nonoscillatory behavior of solutions of second order quasilinear difference equations
Δ(an -1 |Δyn -1|α-1 Δyn -1) + qn f(yn) = 0
and
Δ(an -1 |Δyn -1|α-1 Δyn -1) + qn f(yn -λ) = 0
when {qn}, {an} and the function f satisfy different type of conditions. Examples are inserted to illustrate our results.
Keywords
Quasilinear difference equations; nonoscillatory solution; oscillation
Hrčak ID:
8188
URI
Publication date:
1.12.1998.
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