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一类二阶非线性中立型差分方程的振动性 被引量:5

Oscillation for a Class of Second Order Non-linear Neutral Difference Equation
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摘要 研究了二阶非线性中立型差分方程Δ2(xn+pxn-l)+qnf(xn-k)=0的振动性,获得了该类方程振动的三个充分性定理.所得结果将一阶非线性中立型差分方程已有振动性的相应结论推广到了二阶非线性中立型差分方程. A class of second order non-linear neutral difference equation Δ^2(xn+pxn-l)+qnf(xn-k)=0 is studied. Three sufficient conditions for the oscillation of all solutions of the equation are obtained. Our results generalize some known results of first order non-linear difference equation.
出处 《数学的实践与认识》 CSCD 北大核心 2007年第24期157-160,共4页 Mathematics in Practice and Theory
基金 北京市教委科技基金资助项目(KM200610009004)
关键词 非线性 中立型 差分方程 振动性 non-linear neutral difference equation oscillation
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  • 1郁文生,林诗仲,俞元洪.二阶时滞差分方程的振动性[J].北京大学学报(自然科学版),1997,33(1):42-48. 被引量:8
  • 2Gyori I, Ladas G. Oscillation Theory of Delay Differential Equations with Application[M]. Oxfords Oxford University Press, 1991.
  • 3Agarwal R P. Difference Equations and Inequation[M]. Theory, Methods and Applications Marcel Dekker, New York, 1992 ( 1^st edition), 2000 (2^nd edition)
  • 4张全信,燕居让.一类二阶非线性差分方程的振动性质[J].工程数学学报,2007,24(5):879-884. 被引量:6
  • 5Agarwal RP.Difference Equations and Inequalities; Theory, Method and Applications. . 1992
  • 6Agarwal R P,Manuel M M S,Thandapanc E.Oscillatory and Nonoscillatory Behavior of Second Order Neutral Delay Difference Equations. Mathematical and Computer Modelling . 1996
  • 7Thandapani E,Lalli B S.Oscillation Criteria for a Second Order Damped Difference Equation. Applied Mathematics Letters . 1995
  • 8Thandapani E,Pandian S,Lalli B S.Oscillatory and Nonoscillatory Behavior of Second Order Functional Difference Equations. Applied Mathematics and Computation . 1995
  • 9Xiaoliang Zhou,Jurang Yan.Oscillatory and asymptotic properties of higher order nonlinear difference equations. Nonlinear Anal Theory Methods Applic . 1998
  • 10Liu Bing,Yan Jurang.Oscillatory and asymptotic behaviour of second order nonlinear difference equa- tions. Proceedings of the Edinburgh Mathematical Society . 1996

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