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一类高阶两项微分方程的振荡原则

Oscillation Criteria for a Class of High-Order Two-term Differential Equations
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摘要 研究一类高阶两项微分方程的振荡原则,利用变分原理及微分方程振荡性的扰动理论得到了此类微分方程的振荡与非振荡原则. The paper deals with oscillation criteria for a class of high-order two-term differential equations. Using the variational principle and perturbation theory, we obtain oscillation criteria and non-oscillation criteria of these equations.
作者 张茂柱 李恭刚 陈睿
机构地区 泰山学院数学与统计学院 山东省泰安市实验学校办公室
出处 《数学的实践与认识》 CSCD 北大核心 2013年第5期240-246,共7页 Mathematics in Practice and Theory
基金 山东省高校科研发展计划项目(J12L157) 泰山学院引进人才科研启动基金 泰安市科技发展计划项目(20125010)
关键词 微分方程 振荡 非振荡 differential equations oscillation non-oscillation
分类号 O175 [理学—基础数学]
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参考文献9

  • 1Dosly. Constants in oscillation theory of higher order Sturm-LiouviUe differential equations[J]. Electron J Differ Equ, 2002, 34: 1-12.
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数学的实践与认识
2013年 第5期

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