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非线性脉冲向量双曲型微分方程解的H-振动性 被引量:5

H-oscillation Properties of Nonlinear Impulsive Vector Hyperbolic Differential Equations
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摘要 研究一类具脉冲时滞的非线性双曲型向量泛函微分方程解的H-振动性.方法是采用由Domslak引进的H-振动性的概念,将向量微分方程解的振动问题转化为纯量微分不等式正解和负解的不存在性问题.得到了解的H-振动性的若干判别准则. Nonlinear impulsive vector hyperbolic differential equations are studied and the H-oscillations of solutions are investigated. Our approach is to reduce the oscillation problems to the nonexistence of positive and negative solutions of scalar differential inequalities by employing the concept of H-oscillation introduced by Domslak'. Several H-oscillation criteria are obtained.
机构地区 三峡大学理学院
出处 《数学的实践与认识》 CSCD 北大核心 2009年第9期225-230,共6页 Mathematics in Practice and Theory
基金 湖北省教育厅自然科学基金(Q200713001)
关键词 H-振动性 向量微分方程 双曲型 脉冲 H-oscillation Vector differential equations Hyperbolic type Impulse
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参考文献5

  • 1Domslak J I. On the oscillation of solutions of vector differential equations [J]. Soviet Math Dokl, 1970,11:839- 841. 被引量:1
  • 2Minchev E, Yoshida N. Oscillation of solutions of vector differential equations of parabolic type with functional arguments[J]. J Comput Appl Math,2003,151:107-117. 被引量:1
  • 3Li W N, Han M, Meng F W. H-oscillation of solutions of certain vector hyperbolic differential equations with deviating arguments[J]. Appl Math Comput ,2004,158: 637-653. 被引量:1
  • 4Li W N, Han M. Oscillation of solutions for certain impulsive vector parabolic differential equations with delays[J]. Math Anal Appl, 2007,326 : 363-371. 被引量:1
  • 5罗李平.具连续分布滞量的中立型向量抛物偏泛函微分方程的H-振动性[J].数学的实践与认识,2008,38(11):158-162. 被引量:9

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