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中立型泛函微分方程解的振动性

Oscillatory Properties of Solutions of Neutral Functional Differential Equations

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【作者】 朴大雄

【Author】 PIAO\ Daxiong (Fushun Petroleum Institute, Liaoning, 113001)

【机构】 抚顺石油学院

【摘要】 就λ=h=1的情形,解答了由J.Wiener提出的一个公开待解的问题

【Abstract】 In 1993, J.Wiener brought up an open problem for the study of oscillatory and asympototic properties of neutral functional differential equations with piecewise constant argument [ λt/h ]h. The present paper aims at studying these properties of solutions of nonlinear neutral functional differential equation (y(t)+a(t)y(t-1))′+p(t)f(y())=h(t),t0 and giving a sufficient condition for the existence of nonoscillating solutions of linear equation (y(t)+a(t)y(t-1))′+p(t)y()=h(t),t0 by means of fixed point theory in the case of λ=h =1, where is the greatest integer function.

  • 【文献出处】 北京大学学报(自然科学版) ,ACTA SCICENTIARUM NATURALUM UNIVERSITIS PEKINESIS , 编辑部邮箱 ,1996年03期
  • 【分类号】O175.12
  • 【下载频次】26
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