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一阶变系数中立型泛函微分方程的振动性质

Oscillation of First Order Neutral Functional Differential Equation with Variable Coefficients
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摘要 文章主要讨论形如(x(t)-P(t-l)x(t-τ))'+Q(t)G(x(t-τ))=f(t)一类变系数中立型泛函微分方程振动的性质,推广了前人的一些结果. This paper mainly discusses oscillation of first order neutral functional differential equation( NFDE) with variable coefficients,that is,eq(1),and gets some new improvements than those before.
作者 王奇
机构地区 安徽大学数学系
出处 《淮北煤炭师范学院学报(自然科学版)》 2004年第4期12-14,共3页 Journal of Huaibei Coal Industry Teachers College(Natural Science edition)
关键词 变系数 中立型泛函微分方程 振动性质 推广 文章 oscillation variable coefficient neutral differential equations.
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参考文献5

  • 1[1]Gyori I,Ladas G. Oscillation theory of delay differential equations with applications[M].Clarendon:Oxford Press,1991.
  • 2[3]Parhi N,Rath R N. Oscillation criteria forced first order neutral differential equation with variable coefficients[J]. J Math Anal Appl,2001,256: 525-541.
  • 3[4]Das P,Misra N. A necessary and sufficient condition for the solution of a functional differential equation to be oscillatory of tend to zero[J]. J Math Anal Appl,1997, 204: 78-87.
  • 4[5]Bainov D D. Oscillation theory for neutral differential equations with delay[M].Clarendon:Oxford Press,1991.
  • 5[6]Zhang B G.Oscillation of first order neutral functional differential equations[J].J Math Anal Appl,1989,139:311-318.

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