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含分布时滞与阻尼项的三阶非线性微分方程的Philos型振动 被引量：2

Philos-type oscillation criteria for third-order nonlinear functional differential equations with distributed delays and damped terms
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摘要 研究了一类含分布时滞与阻尼项的三阶非线性泛函微分方程[r(t)x″(t)]'+p(t)x'(t)+∫baq(t,ξ)f(x(σ(t,ξ)))dξ=0,利用广义Riccati变换和H函数技巧,建立了保证此方程一切解Philos型振动或者收敛到零的若干新的充分条件。 The oscillation of third-order nonlinear neutral functional differential equations with distributed delays and damped terms is studied. By using a generalized Riccati transformation and H-functions technique, some new sufficient conditions which insure that any solution of this equation Philos-type oscillation or converges to zero are established.
作者 高正晖 罗李平
机构地区 衡阳师范学院数学与计算科学系
出处 《山东大学学报（理学版）》 CAS CSCD 北大核心 2013年第4期85-90,共6页 Journal of Shandong University(Natural Science)
基金 湖南省重点学科建设项目"运筹学与控制论"资助
关键词 三阶泛函微分方程 非线性 分布时滞 阻尼项 Philos型振动 third-order functional differential equation nonlinear distributed delays damped terms Philos-type oscillation
分类号 O175.13 [理学—基础数学]
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二级参考文献29

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共引文献12

同被引文献17

  • 1Schot S H. Jerk: the time rate of change of acceleration[J]. Am J Phys, 1978, 46( 11): 1090-1094.
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  • 6Tiryaki A, Aktas M F. Oscillation criteria of a certain class of third order nonlinear delay dif- ferential equations with damping [J]. J Math Anal Appl, 2007, 325 ( 1 ) : 54-58.
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  • 10Thandapani E, Li T. On the oscillation of third order quasilinear neutral functional differential equations[J]. Archivum Mathematicum, 2011,47(2) : 181-199.

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二级引证文献8

山东大学学报（理学版）
2013年 第4期

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