具分段常数变元的脉冲微分方程的振动性
Oscillatory Impulsive Delay Differential Equations with Piecewise Constant Argument
摘要
研究了一类具有分段常数变元的脉冲时滞微分方程的振动性与非振动性。
The present paper is devoted to the oscillations and nonoscillations of a kind of impulsive delay differential equations with piecewise constant argument.
出处
《嘉应学院学报》
2006年第3期12-16,共5页
Journal of Jiaying University
关键词
脉冲微分方程
分段常数变元
振动
非振动
impulsive delay differential equation
piecewise constant argument
oscillation
nonoscillation
参考文献7
-
1A.R.Aftabizadeh and J.Wiener,Oscillatory and periodic solutions for systems of two first order linear differential equations with piecewise constant argument[J].Appl.Anal,1988,26:327-338.
-
2A.R.Aftabizadeh,J.Wiener and J.M.Xu,Oscillatory and periodic solutions of delay differential equations with piecewise constant argument[J].Proc.Amer.Math.Soc,1987,99:673-679.
-
3K.L.Cooke and J.Wiener,Retarded differential equations with piecewise constant delays[J].Math.Anal.Appl,1984,99:265 -297.
-
4G.Papaschinopoulos and J.Schinas,Existence stability and oscillation of the solutions of first order neutral delay differential equations with piecewise constant argument.[J].Appl.Anal,1992,44:99 -111.
-
5J.Wiener and K.L.Cooke,Oscillations in systems of differential equations with piecewise constant argument[J].Math.Anal.Appl,1989,137:221-239.
-
6J.H.Shen and I.P.Stavroulakis,Oscillatory and nonoscillatory delay equations with piecewise constant argument[J].Math.Anal.Appl,2000,248:385-401.
-
7T.Fort,Finite Differences and Difference Equations in the Real Domain[M].London:Oxford Univ.Press,1948.
-
1何平.具有分段常数变元的非线性微分方程[J].昆明冶金高等专科学校学报,2000,16(4):35-38.
-
2何平.具有分段常数变元的非线性微分方程的振动性和非振动性[J].云南师范大学学报（自然科学版）,2004,24(2):16-20.
-
3戴斌祥.一类中立型微分方程解的振动性新的充分条件[J].湖南大学学报（自然科学版）,1998,25(5):4-9. 被引量：2
-
4张孝理.一类脉冲时滞微分方程的周期边值问题[J].湖南师范大学自然科学学报,2004,27(1):5-8.
-
5李小平.带有分段常数变元的时滞微分方程解的振动性[J].Journal of Mathematical Research and Exposition,2002,22(3):505-506.
-
6陈晓春,梁经珑.具有分段常数变元的时滞微分方程的振动解[J].娄底师专学报,2001(4):11-14.
-
7罗美红.具分段常数变元的脉冲微分方程周期解的存在性[J].数学理论与应用,2005,25(1):117-121.
-
8陈仕洲.分段常数变元的中立型方程的振动性[J].纯粹数学与应用数学,2004,20(3):255-258.
-
9林诗仲,俞元洪.带有分段常数变元的时滞微分方程解的稳定性和振动性[J].高校应用数学学报（A辑）,1996(1):7-14. 被引量：3
-
10王志伟,邓志云.具有非线性中立型项的二阶非线性差分方程非振动解的存在性[J].井冈山大学学报（自然科学版）,2012,33(4):11-14. 被引量：1
