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一类非线性中立型微分方程的线性化振动

Linearized Oscillation for a Class of Non-Linear Neutral Differential Equations
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摘要  研究一类非线性中立型微分方程的线性化振动,应用勒贝格控制收敛定理得到非线性微分方程和相应的线性微分方程的比较结果. Linear oscillation for a class of nonlinear neutral differential equations is studied. Using Lebesgue′s dominated convergence theorem, a comparison result for nonlinear differential equations with their associated linear differential equations is obtained.
出处 《华北工学院学报》 2003年第5期394-396,共3页 Journal of North China Institute of Technology
关键词 非线性 中立型 线性化振动 微分方程 nonlinear neutral linearized oscillation
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参考文献5

  • 1Qian C, Ladas G. Linearized oscillations for even order neutral differential equations[J]. J Math Anal Appl ,1991, 159: 237-250.
  • 2Qian C, Ladas G. Linearized oscillations for odd-order neutral delay differential equations[J]. J Differential Equations, 1990, 88: 238-247.
  • 3Gyori I, Ladas G. Oscillation Theory of Delay Differrential Equaitons with Applications[M]. Oxford: Clarendor Press, 1991.
  • 4Shen J, Yu J, Qian X . A linearized oscillation result for odd-order neutral delay differential equations[J]. J Math Anal Appl , 1994, 186: 365-374.
  • 5Lu W. The asymptotic and oscillatory behavior of the solutions of high order neutral equations[J]. J Math Anal Appl , 1990, 148: 378-389.

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