Nonoscillatory solutions of delay difference equations with oscillating coefficients

• Autorzy: Bolat, Y. , Akin, Ö.
• Języki publikacji: EN

Abstrakty

EN

Our aim in this paper is to obtain sufficient conditions under which certain difference equations have a "large" number of non-oscillatory solutions. Using the characteristic equation of a "majorant" delay difference equation with oscillating coefficients and Schauder's fixed point theorem, we obtain conditions under which the difference equation in question has a non-oscillatory solution.

Słowa kluczowe

EN

differential equations; nonoscillatory solutions; fixed-point theorems

• Czasopismo: Demonstratio Mathematica
• Rocznik: 2003
• Tom: Vol. 36, nr 4
• Strony: 859--866
• Opis fizyczny: Bibliogr. 5 poz.

Twórcy

autor

Bolat, Y.

• Department of Mathematics, Ankara University, 06100-Tandoğan-Ankara, Turkey

autor

Akin, Ö.

• Department of Mathematics, Gazi University, 06500-Teknikokullar-Ankara, Turkey

Bibliografia

• [1] I. Györi, G. Ladas, Oscillation Theory of Delay Differential Equations with Applications, Clarendon Press-Oxford, New York, 1991.
• [2] Yuanhong Yu, Non-oscillatory solutions of delay differential equations with oscillating coefficients, Demonstratio Math 25 (1992), 877-885.
• [3] G. Ladas, Y. G. Sficas and I. P. Stavroulakis, Non-oscillatory functional differentia equations, Pacific J. Math. 115 (1984), 391-398.
• [4] Yan, Wei Ping, Yan, Ju Rang, Comparison and oscillation results for delay difference equation with oscillating coefficients, J. Math. Sci. 19 (1996), 171-176.
• [5] Q. Chuanxi, G. Ladas and J. Yan, Oscillation of difference equations with oscillating coefficients, Rad. Math. 8 (1992/96), 55-65.