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带有极大值项的中立型差分方程的振动性和非振动性 被引量:17

OSCILLATION AND NONOSCILLATION OF NEUTRAL DIFFERENCE EQUATIONS WITH "MAXIMA
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摘要 本文考虑带有极大值项的一阶中立型差分方程,获得了所有解振动的充分条件,同时也研究了非振动解的渐近性质. In this paper, we consider the first order neutral difference equations with 'Maxima'. Sufficient conditions for oscillation of all solutions are obtained. The asymptotic behavior of nonoscillatory solutions are also investigated.
出处 《应用数学学报》 CSCD 北大核心 2002年第3期385-391,共7页 Acta Mathematicae Applicatae Sinica
基金 国家自然科学基金(10071018号) 数学天元青年基金(10226009号)资助项目
关键词 振动 中立型差分方程 极大值 Oscillation, neutral difference equations, maxima
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参考文献4

  • 1[1]Bainov D, Petrov V, Proytcheva V. Oscillatory and Asymptotic Behavior of Second Order Neutral Differential Equations with "Maxima". Dynamic Systems and Applications, 1995, 4:137-146
  • 2[2]Bainov D, Petrov V, Proytcheva V. Existence and Asymptotic Behavior of Nonoscillatory Solutions of Second Order Neutreal Differential Equations with "Maxima". Journal of Computational and Applied Mathematics, 1997, 83:237-249
  • 3[3]Bainov D, Petrov V, Proytcheva V. Oscillation and Nonoscillation of First Order Neutral Differential Equations with "Maxima". SUT Journal of Mathematics, 1995, 31:17-28
  • 4[4]Petrov V. Nonoscillatory Solutions of Neutral Differential Equations with "Maxima". Communications in Applied Analysis, 1998, 2:129-142

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