数学与计算机科学 |
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一类二阶微分方程新的Kamenev型振动准则 |
杨甲山1,2, 覃桂茳1,2 |
1. 梧州学院 信息与电子工程学院, 广西 梧州 543002; 2. 梧州学院 复杂系统仿真与智能计算实验室, 广西 梧州 543002 |
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Kamenev-type oscillation criteria for certain second-order differential equations |
YANG Jiashan1,2, QIN Guijiang1,2 |
1. School of Information and Electronic Engineering, Wuzhou University, Wuzhou 543002, Guangxi Zhuang Autonomous Region, China; 2. Laboratory of Complex Systems Simulation and Intelligent Computing, Wuzhou University, Wuzhou 543002, Guangxi Zhuang Autonomous Region, China |
[1] AGARWAL R P, BOHNER M, LI W T. Nonoscillation and Oscillation: Theory for Functional Differential Equations[M]. New York: Marcel Dekker,2004. [2] HASANBULLI M, ROGOVCHENKO Y V. Oscillation criteria for second order nonlinear neutral differential equations[J]. Appl Math Comput,2010,215:4392-4399. [3] LI T, AGARWAL R P, BOHNER M. Some oscillation results for second-order neutral differential equations[J]. J Indian Math Soc,2012,79:97-106. [4] LI T, ROGOVCHENKO Y V, ZHANG C. Oscillation of second-order neutral differential equations[J]. Funkc Ekvac,2013,56:111-120. [5] LIN X,TANG X.Oscillation of solutions of neutral differential equations with a superlinear neutral term[J]. Appl Math Lett,2007,20:1016-1022. [6] HAN Z, LI T, SUN S, et al. Remarks on the paper [Appl Math Comput 207 (2009) 388-396][J]. Appl Math Comput,2010,215:3998-4007. [7] SUN S R, LI T X, HAN Z L, et al. Oscillation theorems for second-order quasilinear neutral functional differential equations[J]. Abstract and Applied Analysis,2012,2012(1085-3375):933-947. [8] YANG J S, QIN X W. Oscillation criteria for certain second-order Emden-Fowler delay functional dynamic equations with damping on time scales[J].Advances in Difference Equations,2015,2015(1):1-16. [9] 杨甲山.具正负系数和阻尼项的高阶泛函微分方程的振动性[J].华东师范大学学报:自然科学版,2014(6):25-34,38. YANG J S. Oscillation of higher order functional differential equations with positive and negative coefficients and damping term[J]. Journal of East China Normal University: Natural Science,2014(6):25-34,38. [10] LI T, ROGOVCHENKO Y V. Oscillation theorems for second-order nonlinear neutral delay differential equations[J]. Abstract and Applied Analysis,2014:Article ID 594190. [11] 杨甲山,方彬.一类二阶中立型微分方程的振动性[J].数学的实践与认识,2013,43(23):193-197. YANG J S, FANG B. Oscillation of a class of second order neutral differential equations[J]. Mathematics in Practice and Theory,2013,43(23):193-197. [12] 杨甲山.具阻尼项的高阶中立型泛函微分方程的振荡性[J].中山大学学报:自然科学版,2014,53(3):67-72. YANG J S.Oscillation of higher order neutral functional differential equations with damping[J]. Acta Scientiarum Naturalium Universitatis Sunyatseni,2014,53(3):67-72. [13] YANG J S, QIN X W, ZHANG X J. Oscillation criteria for certain second-order nonlinear neutral delay dynamic equations with damping on time scales[J]. Mathematica Applicata,2015,28(2):439-448. [14] 杨甲山,覃学文.具阻尼项的高阶Emden-Fowler型泛函微分方程的振荡性[J].中山大学学报:自然科学版,2015,54(4):63-68. YANG J S, QIN X W. Oscillation of higher hrder Emden-Fowler functional differential equations with damping[J]. Acta Scientiarum Naturalium Universitatis Sunyatseni,2015,54(4):63-68. [15] 黄记洲,符策红.广义Emden-Fowler方程的振动性[J].应用数学学报,2015,38(6):1126-1135. HUANG J Z, FU C H. Oscillation criteria of generalized Emden-Fowler equations[J].Acta Mathematicae Applicatae Sinica,2015,38(6):1126-1135. [16] SUN Y G, MENG F W. Note on the paper of Dzurina and Stavroulakis[J]. Appl Math Comput,2006,174:1634-1641. [17] 杨甲山,方彬.一类二阶中立型微分方程的振动和非振动准则[J].四川师范大学学报:自然科学版,2012,35(6):776-780. YANG J S, FANG B. Oscillation and non-oscillation criteria for a class of second order neutral differential equations[J]. Journal of Sichuan Normal University: Natural Science,2012,35(6):776-780. [18] 莫协强,张晓建,杨甲山.一类高阶泛函微分方程非振动解的存在性[J].四川师范大学学报:自然科学版,2014,37(6):861-866. MO X Q, ZHANG X J, YANG J S. Existence of nonoscillatory solutions for a class of higher order functional differential equations[J]. Journal of Sichuan Normal University: Natural Science,2014,37(6):861-866. [19] 杨甲山.具可变时滞的二阶非线性中立型泛函微分方程的振动性[J].浙江大学学报:理学版,2016,43(3):257-263. YANG J S.Oscillation of certain second-order nonlinear neutral functional differential equations with variable delay[J]. Journal of Zhejiang University: Science Edition,2016,43(3):257-263. [20] 于强,杨甲山.二阶非线性变时滞中立型微分方程的振荡性分析[J].安徽大学学报:自然科学版,2016,40(4):22-29. YU Q, YANG J S. Oscillation analysis of second-order nonlinear variable delay neutral differential equations[J]. Journal of Anhui |
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