| Stability of Second Order Differential Equation Disturbed with Delays |
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| 作者姓名： | 高国柱 叶海平 俞成 |
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| 作者单位： | Department of Applied Mathematics, Donghua University, Shanghai 200051 |
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| 摘 要： | IntroductionThe stability of the zero solution for the second ordernonlinear differential equations disturbed with delays·x·(t) +p(t) x·(t) +q(t)x(t) +f(t , xt) =0,t≥τ(1)was considered in the paper , wherep( t)andq( t)arecontinuous onτ,+∞) ,f ( t ,)is continuous onτ,+∞)×C, C≡C(-r ,0] , R),for||≡sup|(θ)|,∈C, xt∈Cis defined byxt(θ)=x(t+θ) ,θ∈-r ,0] .Iff≡0,the equation (1) becomes the ordinary differentialequation·x·(t) +p(t) x·(t) +q(t)x(t) =0. (2)The zero so…
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| 关 键 词： | 二阶微分方程 一致稳定性 渐近稳定性 时滞 里亚普诺夫函数 |
| 收稿时间： | 2003-12-25 |
Stability of Second Order Differential Equation Disturbed with Delays |
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| GAO Guo-zhu,YE Hai-ping,YU Cheng.Stability of Second Order Differential Equation Disturbed with Delays[J].Journal of Donghua University,2005,22(3):106-110. |
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| Authors: | GAO Guo-zhu YE Hai-ping YU Cheng |
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| Abstract: | In this paper, stability problems for the second order nonlinear differential equations disturbed with delays are studied. By means of the new stability theorems and Liapunov functional, the authors obtain some results of the zero solution of the equations, some well-known results are extended. |
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| Keywords: | uniform stability asymptotic stability functional differential equations Lia punov functional |
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