| 二阶线性中立时滞方程非振动解的存在性 |
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| 引用本文： | 程金发,Annie Z. 二阶线性中立时滞方程非振动解的存在性[J]. 系统科学与数学, 2004, 24(3): 389-397 |
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| 作者姓名： | 程金发 Annie Z |
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| 作者单位： | 1. 厦门大学数学科学学院,厦门,361005
2. Department of Mathematics, Banaras Hindu University, Varanasi 221005, India |
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| 基金项目： | 国家自然科学基金(10271043)资助课题 |
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| 摘 要： | 考虑具有正负系数的中立时滞微分方程这里P∈R和τ∈(0,∞),σ1,σ2∈[0,∞)且Q1,Q2∈C([t0,∞),R+).对于上面方程非振动解的存在性,得到一个用,∫sQids <∞,i=1,2,来表达的充分条件。这个结果去掉了M.R.S.Kulenovic和S.Hadziomerspahic文中一个相当强的假设,改进了其中的相关定理.
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| 关 键 词： | 中立微分方程 振动性 压缩原理 |
| 修稿时间： | 2002-01-04 |
EXISTENCE OF NONOSCILLATORY SOLUTION OF SECOND ORDER LINEAR NEUTRAL DELAY EQUATION |
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| Jin Fa CHENG,Annie Z.. EXISTENCE OF NONOSCILLATORY SOLUTION OF SECOND ORDER LINEAR NEUTRAL DELAY EQUATION[J]. Journal of Systems Science and Mathematical Sciences, 2004, 24(3): 389-397 |
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| Authors: | Jin Fa CHENG Annie Z. |
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| Affiliation: | (1)Department of mathematics,Xiamen University, Xiamen 361005;(2)Department of Mathematics, Banaras Hindu University, Varanasi 221005, India |
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| Abstract: | Conside the neutral delay differential equation with positive andnegative coefficients[frac{d^{2}}{dt^{2}}[x(t)+px(t-tau )]+Q_{1}(t)x(t-sigma_{1})-Q_{2}(t)x(t-sigma _{2})=0,]where $pin R$ and $tau in (0,infty ),sigma _{1,}sigma_{2}in lbrack 0,infty )$ and $Q_{1},Q_{2}in C([t_{0},infty),R^{+}).$Some sufficent conditions for the existence of anonoscillatory solution of the above equation express in the termsof $intlimits_{{}}^{infty}sQ_{i}{rm d}s
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| Keywords: | Neutral differential equation oscillation contract theorem. |
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