Oscillation criteria for higher order functional difference equation with oscillating coeffcient

• Autorzy: Bolat Y.
• Języki publikacji: EN

Abstrakty

EN

In this paper we are concerned with the oscillatory behaviour of solutions of a certain higher order nonlinear neutral type functional difference equation with oscillating coefficient. We obtain two sufficient criteria for oscillatory behaviour.

Słowa kluczowe

EN

difference equations; neutral difference equation; oscillating coefficient; numerical methods

PL

równania różniczkowe; równania neutralne; metody numeryczne; współczynnik oscylacyjny

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2007
• Tom: Vol. 40, nr 1
• Strony: 161--168
• Opis fizyczny: Bibliogr. 9 poz.

Twórcy

autor

Bolat Y.

• Department of Mathematics Faculty of Science and Arts Afyon Kocatepe University A.N.S. Campus, 03200-Afyon, Turkey,

Bibliografia

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• [3] R. P. Agarwal, Advanced Topics in Difference Equation, Kluwer Academic Publishers, London, 1997.
• [4] I. Györi and G. Ladas, Oscillation Theory of Delay Differential Equations with Aplications, Clarendon Press, Oxford, 1991.
• [5] W. G. Kelley and A. C. Peterson, Difference Equations an Introduction with Applications, Academic Press, Boston, (1991).
• [6] V. Lakshmikantham and D. Trigiante, Theory of Difference Equations, Numerical Methods and Applications, Academic Press, New York, (1988).
• [7] Y. Bolat and Ö Akin, Oscillatory beaviour of higher order neutral type nonlinear forced differential equation with oscillating coefficients, J. Math. Anal. Appl. 290 (2004), 302-309.
• [8] B. Szmanda, Properties of solutions of higher order difference equations, Math. Comput. Modelling 28 (1998), no. 10, 95-101.
• [9] Xinping Guan, Jun Yang, Shu Tang Liu and Sui Sun Cheng, Oscillatory behavior of higher order nonlinear neutral difference equation, Hokkaido Math. J. 28 (1999), 393-403.