三阶半线性中立型阻尼泛函微分方程的振动性

留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名

邮箱

手机号码

标题

留言内容

验证码

基金项目:

广东省高等教育教学改革项目 GDJG20142396

广东省高等学校特色创新项目 2014GXJK125

广东省自然科学基金 S2013010013372

Oscillation of certain third-order half linear neutral functional differential equations with damping

College of Mathematics and Statistics, Hanshan Normal University, Chaozhou Guangdong 521041, China

摘要: 研究了一类具有阻尼项的三阶半线性中立型泛函微分方程的振动性.通过引入参数函数和广义Riccati变换，结合积分平均技巧和一些分析技巧，建立了该类方程的所有解振动或收敛于零的若干新的充分条件，推广和改进最近文献的相应结果.
- 三阶中立型方程 /
- 半线性 /
- 阻尼项 /
- 振动性
Abstract: This paper investigates the oscillation of third-order half linear neutral functional differential equations with damping. By introducing parameter function and the generalized Riccati transformation and using integral averaging technique and some necessary technique, some new sufficient conditions which ensure that any solution of such equation oscillates or converges to zero were proposed. The corresponding results in literature are extended and improved.
- third-order neutral equations /
- half linear /
- damping terms /
- oscillation

[1]	DZURINA J. Asymptotic properties of the third order delay differential equations [J]. Nonlinear Anal TMA, 1996, 26(1): 33-39. doi: 10.1016/0362-546X(94)00239-E
[2]	GRACE S R, AGARWAL R P, PAVANI R, et al. On the oscillation of certain third order nonlinear functional differential equations [J]. Appl Math Comput, 2008, 202(1): 102-112. http://www.deepdyve.com/lp/elsevier/on-the-oscillation-of-certain-third-order-nonlinear-functional-UQVTetakB0
[3]	TIRYAKI A, AKTAS M F. Oscillation criteria of a certain class of third order nonlinear deay differential equations with damping [J]. J Math Anal Appl, 2007, 325(1): 54-68. doi: 10.1016/j.jmaa.2006.01.001
[4]	AKTAS M F, TIRYAKI A, ZAFER A. Oscillation criteria for third-order nonlinear functional differential equations [J]. Appl Math Letters, 2010, 23(7): 756-762. doi: 10.1016/j.aml.2010.03.003
[5]	韩忠月.三阶非线性中立型泛函微分方程的振动性[J].华东师范大学学报(自然科学版), 2012(1): 113-120. http://xblk.ecnu.edu.cn/CN/abstract/abstract24683.shtml
[6]	ERBE L. Oscillation criteria for second order nonlinear delay equations [J]. Canad Math Bull, 1973, 16(1): 49-56. doi: 10.4153/CMB-1973-011-1
[7]	KIGURADZE I T. On the oscillation of solutions of the equation d^mu/dt^m+a(t)\|u\|^m signu=0[J]. Math Sb, 1964, 65(2): 172-187.
[8]	HARDY G H, LITTERWOOD J E, POLYA G.Inequalities [M].2nd ed. Cambridge: Cambridge University Press, 1952.

点击查看大图