时滞微分方程依照两种测度的稳定性

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基金项目: 国家自然科学基金资助项目(19831030)

Stability Criteria in Terms of Two Measures for Delay Differential Equations

Department of Applied Mathematics, Shanghai Jiaotong University, Shanghai 200240

摘要: 运用变异Liapunov方法,讨论了时滞微分方程依照两种测度的稳定性。借助于中间测度h^*(t,x),在未扰动系统为常微分方程的情形下,得到了关于时滞微分方程非一致和一致稳定性的判定定理。
- 时滞微分方程 /
- 变异Liapunov方法 /
- 稳定性 /
- 两种测度
Abstract: By using the variational Liapunov method,stability properties in terms of two measures for delay differential equations are discussed.In the case that the unperturbed systems are ordinary differential systems,employing auxiliary measure h^*(t,x),criteria on nonuniform and uniform stability in terms of two measures for delay differential equations are established.
- delay differential equations /
- variational Lyapunov method /
- stability /
- two measures

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