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带非线性扩散项的中立双曲型方程的振动判据 被引量：3

Oscillation Criteria of Neutral Hyperbolic Equations with Nonlinear Diffusion Term
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摘要 讨论一类具非线性扩散项的中立双曲型方程的振动性,利用广义Riccati变换和微分不等式方法,得到了该类方程在两类不同边值条件下所有解振动的若干新的充分条件. The oscillation of a class of neutral hyperbolic equations with nonlinear diffusion term is discussed and some new sufficient conditions for oscillation of all solutions of such equations are obtained under two kinds of different boundary value conditions by using the generalized Riecati transformation and the method of differential inequalities.
作者 蒋明霞
机构地区 湖南工业职业技术学院商贸旅游系
出处 《晓庄学院自然科学学报》 CAS 北大核心 2011年第6期12-15,39,共5页 Journal of Natural Science of Hunan Normal University
基金 湖南省教育科学"十二.五"规划课题资助项目(XJK011BWZJ031)
关键词 振动性 双曲型方程 中立型 广义Riccati变换 非线性扩散项 oscillation hyperbolic equation neutral type generalized Riceati transformation nonlinear diffusion term
分类号 O175.27 [理学—基础数学]
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参考文献10

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二级参考文献25

共引文献24

同被引文献35

  • 1高合理,尹传存.复合Poisson模型中“双界限”分红问题[J].高校应用数学学报（A辑）,2008,23(4):379-388. 被引量：1
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  • 8SUN H R, TANG L T, WANG Y H. Eigenvalue problem for p-Laplaeain three-point boundary value problems on time scales [J]. J Math Anal nppl, 2007,331 ( 1 ) :248-262.
  • 9ZHANG Y H, BAI Z B. Existence of solutions for nonlinear fractional three-point boundary value problems at resonance [ J]. J Appl Math Comput, 2011,36(2) :417-440.
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引证文献3

二级引证文献7

晓庄学院自然科学学报
2011年 第6期

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