Oscillation of third-order nonlinear delay difference equations

Date

2012-01-01

Author

AKTAŞ, MUSTAFA FAHRİ
Tiryaki, Aydin
Zafer, Ağacık

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Third-order nonlinear difference equations of the form Delta(c(n)Delta(d(n)Delta x(n))) p(n)Delta x(n+1) + q(n)f (x(n-sigma)) = n >= n(0) are considered. Here, {c(n)}, {d(n)}, {p(n)} and {q(n)} are sequences of positive real numbers for n(0) is an element of N, f is a continuous function such that f(u)/u >= K > 0 for u not equal 0. By means of a Riccati transformation technique we obtain some new oscillation criteria. Examples are given to illustrate the importance of the results.

Subject Keywords

Difference equation, Delay, Third order, Oscillation, Nonoscillation, Riccati transformation

URI

https://hdl.handle.net/11511/57946

Journal

TURKISH JOURNAL OF MATHEMATICS

DOI

https://doi.org/10.3906/mat-1010-67

Collections

Department of Mathematics, Article

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Citation Formats

M. F. AKTAŞ, A. Tiryaki, and A. Zafer, “Oscillation of third-order nonlinear delay difference equations,” TURKISH JOURNAL OF MATHEMATICS, pp. 422–436, 2012, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/57946.