数学季刊 ›› 2012, Vol. 27 ›› Issue (1): 145-151.

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具有连续分布偏差变元的双曲型微分方程振动准则的进一步结果

  

  1. 1. College of Forest, Beijing Forestry University 2. School of Science, Beijing University of Civil Engineering and Architecture

  • 收稿日期:2010-10-14 出版日期:2012-03-30 发布日期:2023-04-10
  • 作者简介:ZHANG Meng(1980-), female, native of Jilin, Jilin, a lecturer of Beijing University of Civil Engineering and Architecture, a doctorial student of Beijing Forestry University, engages in stability of differential equation and biomathematics; SONG Guo-hua(1955-), male, native of Changchun, Jilin, a professor of Beijing University of Civil Engineering and Architecture, Ph.D., engages in differential equation and biomathematics.
  • 基金资助:
    Supported by the NNSF of China(A011403); Supported by the Young Teachers Science Foundation of Beijing University of Civil Engineering and Architecture(100804107)

Further Oscillation Results for a Class of Hyperbolic Equations with Continuous Distributed Deviating Arguments

  1. 1. College of Forest, Beijing Forestry University 2. School of Science, Beijing University of Civil Engineering and Architecture

  • Received:2010-10-14 Online:2012-03-30 Published:2023-04-10
  • About author:ZHANG Meng(1980-), female, native of Jilin, Jilin, a lecturer of Beijing University of Civil Engineering and Architecture, a doctorial student of Beijing Forestry University, engages in stability of differential equation and biomathematics; SONG Guo-hua(1955-), male, native of Changchun, Jilin, a professor of Beijing University of Civil Engineering and Architecture, Ph.D., engages in differential equation and biomathematics.
  • Supported by:
    Supported by the NNSF of China(A011403); Supported by the Young Teachers Science Foundation of Beijing University of Civil Engineering and Architecture(100804107)

摘要: A class of hyperbolic equations with continuous distributed deviating arguments is considered and its oscillation theorems are discussed. These theorems are of higher degree of generality and deal with the cases which are not covered by the known criteria. Particularly,these criteria extend and unify a number of existing results.

关键词: oscillation criteria, hyperbolic equations, continuous distributed deviating arguments

Abstract: A class of hyperbolic equations with continuous distributed deviating arguments is considered and its oscillation theorems are discussed. These theorems are of higher degree of generality and deal with the cases which are not covered by the known criteria. Particularly, these criteria extend and unify a number of existing results.

Key words: oscillation criteria, hyperbolic equations, continuous distributed deviating arguments

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