Oscillation of Second-order Quasilinear Neutral Delay Difference Equations 被引量：2

Oscillation of Second-order Quasilinear Neutral Delay Difference Equations

导出

摘要 By using the Riccati transformation and mathematical analytic methods, some sufficient conditions are obtained for oscillation of the second-order quasilineoa＂ neutral delay difference equations By using the Riccati transformation and mathematical analytic methods, some sufficient conditions are obtained for oscillation of the second-order quasilineoa＂ neutral delay difference equations

作者 Dong-mei Wang Zhi-ting Xu

机构地区 College of Information Science School of Mathematical Science

出处《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2011年第1期93-104,共12页 应用数学学报（英文版）

基金 Supported by the National Natural Science Foundation of Guangdong Province under Grant (No.8451063101000730)

关键词 OSCILLATION Riccati transformation Difference equations Oscillation, Riccati transformation, Difference equations

分类号 O177.91 [理学—基础数学] O241.84 [理学—计算数学]

引文网络
相关文献

参考文献13

1Agarwal, R.P. Difference Equations and Inequalities, Theory, Methods and applications, Second Edition. Marcel Dekker, New York, 2000.
2Agarwal, R.P., Bohner, M., Grace, S.R., O'Regan, D. Discrete Oscillation Theory. Hindawi Publishing ororation, New York, 2005.
3Agarwal, R.P., Wong, P.J.Y. Advanced Topics in Difference Equations. Kluwer Academic Publishers, Dordrecht, 1997.
4Hardy, G.H., Littlewood, J.E., Polya, G. Inequalities, Cambridge, 2nd Edition. Cambridge University Press, 1952.
5Jiang, J.C. Oscillation criteria for second-order quasilinear neutral delay difference equations. Appl. Math. Comput., 125:287-293 (2002).
6Li, W.T., Saker, S.H. Oscillation of second-order sublinear neutral delay difference equations. Appl. Math. Comput., 146:543-551 (2003).
7Saker, S.H. Oscillation theorems for second-order nonlinear delay differenceequations. Periodiea Mathematica Hungarica, 47(1-2): 201-213 (2003).
8Saker, S.H., Cheng, S.S. Kamenev type oscillation criteria for nonlinear difference equations. Czechoslovak Mathematical Journal, 54 (129): 955- 967 (2004).
9Thandapani, E., Mahalingam, K., Tamilnadu. Oscillation and nonoseillation of secon-order neutral delay difference equations. Czechoslovak Mathematical Journal, 53(128): 935-947 (2003).
10Wong, J.S. On Kamenev-type oscillation theorems for second order differential equations with damping. J. Math. Anal. Appl., 258:244-257 (2001).

同被引文献8

1程金发.二阶泛函差分方程的振动性判别准则[J].数学学报（中文版）,2006,49(2):317-326. 被引量：5
2王冬梅.具连续变量的一阶差分方程有界解的振动性[J].海南大学学报（自然科学版）,2009,27(2):116-118. 被引量：3
3王冬梅,徐志庭.二阶拟线性中立型差分方程的振动性[J].应用数学学报,2011,34(3):537-553. 被引量：5
4田亚州,范敏,孟凡伟.二阶非线性时滞差分方程解的振动性[J].数学的实践与认识,2011,41(24):188-193. 被引量：3
5杨甲山,李继猛.具正负系数的二阶中立型时滞差分方程的振动和非振动准则[J].数学的实践与认识,2012,24(3):241-248. 被引量：7
6杨甲山,孙文兵.具有可变时滞的二阶非线性差分方程的有界振动性(英文)[J].Chinese Quarterly Journal of Mathematics,2011,26(4):516-520. 被引量：9
7杨甲山,苏芳.具阻尼项的一类二阶非线性动态方程的振动准则（英文）[J].应用数学,2014,27(2):392-404. 被引量：11
8孙书荣,韩振来.二阶中立型差分方程的振动性[J].纯粹数学与应用数学,1999,15(2):17-20. 被引量：16

引证文献2

1杨甲山,黄劲.一类具阻尼项的二阶差分方程的振荡性（英文）[J].昆明理工大学学报（自然科学版）,2015,40(4):131-138. 被引量：3
2王冬梅,郭纪云.具变系数的二阶中立型时滞差分方程的振动性[J].兰州文理学院学报（自然科学版）,2014,28(2):25-27. 被引量：1

二级引证文献4

1杨甲山.具正负系数的二阶非线性变时滞差分方程的振动性定理[J].中央民族大学学报（自然科学版）,2016,25(3):26-31. 被引量：3
2杨甲山.具阻尼项的二阶Emden-Fowler型泛函差分方程的振动准则[J].华中师范大学学报（自然科学版）,2017,51(6):723-730. 被引量：4
3覃桂茳,杨甲山.二阶非线性阻尼泛函差分方程的振动性定理[J].数学的实践与认识,2019,49(24):237-245.
4张思逸.二阶中立型时滞差分方程解的振动性准则[J].贵州师范大学学报（自然科学版）,2020,38(4):90-93.

1罗交晚.OSCILLATION THEOREMS FOR A NEUTRAL DELAY DIFFERENCE EQUATION[J].Annals of Differential Equations,1997,13(4):377-384. 被引量：2
2Wei Lu (Dept. of Math. and Computational Science, Suzhou University, Suzhou 234000, Anhui) Zongfu Zhou, Wei Jiang (School of Mathematics and Computational Science, Anhui University, Hefei 230039).OSCILLATORY BEHAVIOR OF SECOND NEUTRAL DELAY DIFFERENCE EQUATIONS WITH DAMPING TERM[J].Annals of Differential Equations,2010,26(2):195-199.
3Huang Mei(Dept. of Math. and Physics,Hunan First Normal College,Changsha 410002) Shen Jianhua(College of Math. and Computer Science,Hunan Normal University,Changsha 410081) Tang Liang(College of Inform. Administration and Engin.,Jishou University,Zhangjiajie 427000,Hunan).OSCILLATION OF A CLASS OF SECOND ORDER NEUTRAL DIFFERENCE EQUATIONS WITH CONTINUOUS ARGUMENTS[J].Annals of Differential Equations,2008,24(2):150-156.
4S.H.SAKER,B.G.ZHANG.Oscillation of Second Order Nonlinear Delay Damped Difference Equations[J].Acta Mathematica Sinica,English Series,2007,23(4):715-722. 被引量：1
5Zhu Xianyang Li Yongkun Liu Ping.NONOSCILLATORY SOLUTIONS FOR A SYSTEM OF HIGHER-ORDER NONLINEAR NEUTRAL DELAY DIFFERENCE EQUATIONS WITH MATRIX COEFFICIENTS[J].Annals of Differential Equations,2005,21(4):648-654. 被引量：1
6ZHANG Shunian Department of Applied Mathematics, Shanghai Jiaotong University, Shanghai 200240, China.Almost periodic solutions of difference systems[J].Chinese Science Bulletin,1998,43(24):2041-2046. 被引量：1
7Huseyin Bereketoglu,Aydin Huseynov.Boundary value problems for nonlinear second-order difference equations with impulse[J].Applied Mathematics and Mechanics(English Edition),2009,30(8):1045-1054.
8CHEN ZongXuan.On growth,zeros and poles of meromorphic solutions of linear and nonlinear difference equations[J].Science China Mathematics,2011,54(10):2123-2133. 被引量：31
9郑秀敏,陈宗煊.ON PROPERTIES OF q-DIFFERENCE EQUATIONS[J].Acta Mathematica Scientia,2012,32(2):724-734. 被引量：1
10苑成军,文香丹,蒋达清.EXISTENCE AND UNIQUENESS OF POSITIVE SOLUTION FOR NONLINEAR SINGULAR 2mth-ORDER CONTINUOUS AND DISCRETE LIDSTONE BOUNDARY VALUE PROBLEMS[J].Acta Mathematica Scientia,2011,31(1):281-291. 被引量：1

Acta Mathematicae Applicatae Sinica

2011年第1期

浏览历史

内容加载中请稍等...

Oscillation of Second-order Quasilinear Neutral Delay Difference Equations 被引量：2

参考文献13

同被引文献8

引证文献2

二级引证文献4

相关作者

相关机构

相关主题

浏览历史