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Existence of nonoscillatory solutions of higher-order difference equations with positive and negative coefficients

Zhenguo Zhang|Qiaoluan Li|Haiyan Liang|Wenlei Dong
대한수학회 (The Korean Mathematical Society)|2008.02|대한수학회보 (Bulletin of the KMS)|제45권 제1호|pp. 23-31

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참고문헌

키워드

positive and negative coefficientsnonoscillatoryneutral term
주제분류수학

초록

In this paper, we investigate nonoscillatory solutions of aclass of higher order neutral nonlinear dierence equations with positiveand negative coecients△m (x(n)+ p(n)x((n)))+f₁(n, x(σ₁(n)))f₂(n,x(σ₂(n))) = 0, n ≥n0. Some sucient conditions for the existence of nonoscillatory solutions areobtained.

Abstract

In this paper, we investigate nonoscillatory solutions of aclass of higher order neutral nonlinear dierence equations with positiveand negative coecients△m (x(n)+ p(n)x((n)))+f₁(n, x(σ₁(n)))f₂(n,x(σ₂(n))) = 0, n ≥n0. Some sucient conditions for the existence of nonoscillatory solutions areobtained.

참고문헌 (8)

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  2. Q. K. Kong, "Nonoscillation of a class of neutral differential equations", Computers & Mathematics with Applications, 44(5), pp.643~654 (2002)
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  4. S. H. Saker, "Oscillation of second order nonlinear delay difference equations", 대한수학회보, 40(3), pp.489~501 (2003), 대한수학회
  5. E. Thandapani, "Oscillation of second-order half-linear difference equations", Applied Mathematics Letters, 13(2), pp.43~49 (2000)
  6. J. Yang, "Positive solutions of a class of neutral delay difference equations", Acta Mathematica Sinica Chinese Series, 44(3), pp.409~416 (2001)
  7. Y. H. Yu, "Nonoscillatory solutions of second-order nonlinear neutral delay equations", Journal of Mathematical Analysis and Applications, 311(2), pp.445~456 (2005)
  8. W. P. Zhang, "Existence of nonoscillatory solutions of first-order linear neutral delay differential equations, Comput", Computers & Mathematics with Applications, 49(7), pp.1021~1027 (2005)

관련 논문AI추천

Oscillation criteria for difference equations with several oscillating coefficientsGeorge E. Chatzarakis, Ioannis P. Stavroulakis, Martin Bohner대한수학회 · 대한수학회보2015 · 제52권 제1호OSCILLATION AND NONOSCILLATION OF HIGHER-ORDER DIFFERENCE EQUATIONS WITH NONLINEAR NEUTRAL TERMSAijun Yang, Congna Di, Zhenguo Zhang한국수학교육학회 · 이론수학과 교직수학2007 · 제14권 제2호COMPARISON THEOREMS ON THE OSCILLATION OF A CLASS OF NEUTRAL DIFFERENCE EQUATIONS WITH CONTINUOUS VARIABLESBasŞak Karpuz, Özkan Öcalan대한수학회 · 대한수학회보2010 · 제47권 제2호Oscillation of nonlinear second order neutral delay dynamic equations on time scalesHassan A. Agwo대한수학회 · 대한수학회보2008 · 제45권 제2호Oscillation criteria for second-Order nonlinear differenceequations with ``summation small'' coefficientKang Guolian대한수학회 · 대한수학회보2005 · 제42권 제2호OSCILLATORY BEHAVIOR OF SECOND-ORDER HALF-LINEAR NEUTRAL DIFFERENTIAL EQUATIONS WITH DAMPING TERML. Gao, Q. Zhang, S. Liu장전수학회 · Advanced Studies in Contemporary Mathematics2015 · 제25권 제4호

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