二阶强迫非线性时滞差分方程振动的充要条件
Necessary and Sufficient Conditions for the Oscillation of the Second Order Forced Nonlinear Delay Difference Equations
摘要
给出了二阶强迫非线性时滞差分方程 ?2xn + anf(xn ) = gn 的所有解弱振动的一个充要条 ?k 件。
A necessary and su?cient condition is given for the weak oscillation of all solutions of the second order forced nonlinear delay di?erence equations ?2xn + anf(xn ) = gn. ?k
出处
《工程数学学报》
CSCD
北大核心
2005年第1期151-154,共4页
Chinese Journal of Engineering Mathematics
基金
曲阜师范大学科研基金(XJ02001).
关键词
振动
弱振动
强迫差分方程
时滞
oscillation
weakly oscillation
forced difference equations
delay
参考文献8
-
1Agarwal R P. Difference Equations and Inequalities[M]. New York: Dekker, 1992.
-
2Erbe L H, Zhang Bing Gen. Oscillation of difference equations with delay[A]. in "Proceedings of the International Conference on Theory and Applications of Differential Equations, Ohio University, March 21-25,1988"[C](A. R. A. Aftabizadeh, Ed.), pp.257-263, Ohio Univ. Press, Athens, OH 1989.
-
3Hooder J W, Patula W T. A second order nonlinear differende equation: oscillation and asymptotic behavior[J]. J Math Anal Appl,1983;91:9-29.
-
4Mingarelli A B. Volterra Stieltjes Integral Equations and Generalized Differential Equations, Lecture Notes in Math[M]. Vol. 989, Springer-Verlag, New York/Berlin, 1983..
-
5Thandapani E. Oscillatory behaviour of solutions of second order non-linear difference equations[J]. J Math Phys Sci,1991;25:457-464.
-
6Thandapani E, Gyori I, Lalli B S. An application of discrete inequality to second order nonlinear oscillation[J]. J Math Anal Appl,1994;186:200-208.
-
7Wang Zhicheng, Yu Jianshe. Oscillation criteria for second order nonlinear difference equations[J]. Funkcial Ekvac,1991;34:313-319.
-
8Zhang Binggen. Oscillation and asymptotic behavior of second order difference equations[J]. J Math Anal Appl,1992;173:58-68.
-
1孙云英.递推数列通项的常用求法[J].数理天地(高中版),2016,0(12):18-19.
-
2韩忠月.二阶线性差分方程非线性扰动解的渐近性质[J].德州学院学报,2003,19(6):6-10.
-
3韩忠月.二阶非线性扰动差分方程解的渐近性质[J].数学研究,2007,40(2):173-178.
-
4詹小平.关于Tumura-Clunie定理的注记[J].湖南师范大学自然科学学报,2000,23(2):1-5.
-
5钟文波,易才凤.一类差分方程亚纯解的增长级[J].南昌大学学报(理科版),2014,38(4):314-318.
-
6李伟,程英.关于Tumura-Clunie定理的一个结果[J].天津科技大学学报,2001,18(2):53-56.
-
7赵良才.有限簇非扩张映象具误差的黏性逼近[J].宜宾学院学报,2007,7(12):8-10.
-
8李勇,肖富森,马廷虎,李义明,谭勇.高分辨率混合模糊神经网络裂缝反演研究[J].内蒙古石油化工,2009,35(14):13-15.
-
9王春凯.Banach空间中非扩张映像不动点的隐式逼近[J].和田师范专科学校学报,2009,29(5):203-204.
-
10云正清,俞集辉,谭邦定.关于心电位的唯一性的一个充要条件[J].生物医学工程学杂志,1994,11(4):319-322.