Oscillation of Neutral Functional Differential Equations

被引:0
作者
Y. Zhou
机构
[1] Xiangtan University,Department of Mathematics
来源
Acta Mathematica Hungarica | 2000年 / 86卷
关键词
Differential Equation; Recent Result; Functional Differential Equation; Neutral Functional Differential Equation;
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摘要
Consider the neutral functional differential equation \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} $${{dt}}\left[ {x\left( t \right) - p\left( t \right)x\left( {t - r} \right)} \right] + q\left( t \right)x\left( {t - T\left( t \right)} \right) = 0$$ \end{document} where p, q, T ∈ C(R+, R+), r ∈ R+. We establish new criteria for the oscillation of all solutions of equation (1) which do not require that \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} $$q\left( t \right) \geqq k >{\text{0}}\quad {\text{and}}\quad {\text{0}} \leqq p\left( t \right) \leqq 1.$$ \end{document} Our results improve some recent results in the literature.
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页码:205 / 212
页数:7
相关论文
共 12 条
[1]  
Chen S.(1991)On a conjecture of Hunt and Yorke J. Math. Anal. Appl. 159 469-484
[2]  
Huang Q.(1984)On the oscillatory behaviour of solutions of certain nonlinear and linear delay differential equations Nonlinear Anal. 8 429-439
[3]  
Győri I.(1984)When all solutions of J. Diff. Eqs. 53 139-145
[4]  
Hunt B. R.(1994)′( Funkcialaj Ekvacioj 37 383-394
[5]  
Yorke J. A.(1997)) = −Σ J. Math. Anal. Appl. 207 61-72
[6]  
Lu W.(1993)( J. Math. Anal. Appl. 172 11-23
[7]  
Sun J.(1993)) Nat. Sci. J. Xiangtan Univ. 15 1-5
[8]  
Wang J.(undefined)( undefined undefined undefined-undefined
[9]  
Zhang B. G.(undefined) − undefined undefined undefined-undefined
[10]  
Yu J. S.(undefined)( undefined undefined undefined-undefined