一类超前型微分差分方程的有界解及其渐近性质

留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名

邮箱

手机号码

标题

留言内容

验证码

The Bounded Solution of a Class of Differential-Difference Equation of Advanced Type and Its Asymptotic Behavior

摘要: 本文考虑具有扰动项的超前型微分差分方程,证明了当退化方程具有负指数阶的有界解且扰动项满足一定条件时,扰动方程也具有负指数阶的有界解.

Abstract: In this paper, we consider the differential-difference equation of advanced type with perturbation term. It is shown that if the bounded solution of the reduced equation has negative exponential order and the perturbation term f satisfies certain condition, then the bounded solution of the perturbation equation has negative exponential order.

[1]	Doss,S.and S.K.Nasr,On the functional equation dy/dx=f(x,y(x),y(x+h)),h>0,Amer.J.Math.,75(1953),713-716.
[2]	Sugiyama,S.,On some problems of functional-differential equations With advanced argument,Proc.U.S.Japan seminar Differential and Functional Equations,Minnesota,June(1967),Benjamin,New York(1967),367-382.
[3]	Anderson,C.H.,Asymptotic oscillation results for solutions to first-order nonlinear differential-difference equations of advanced type,J.Math.Anal.Appl.,24(1968),430-439.
[4]	Kato,T.and J.B.Mcleod,The functional-differential equation y'(x)=ay(λx)+by(x),Bull.Amer.Math.Soc.,77(1971),891-937.
[5]	Kusano,T.and H.Onose,Nonlinear oscillation of second order functional differential equations with advanced argument,J.Math.Soc.Japan,29(1977),541-559.
[6]	Onose,H.,Oscillatory properties of the first order differential inequalities with deviating arguments,Funkcial.Ekvac.,26(1983),189-195.
[7]	郑祖麻,林宜中,具超前变元微分方程的基本存在性定理,福建师范大学学报(自然科学版),2(1983),17-24.
[8]	林宜中,具超前变元微分方程的几个问题,福建师范大学学报(自然科学版),1(1986),9-16.