Stability of Solutions of Differential Equations under Generalized Pulse Perturbations

A. D. Myshkis

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Stability of Solutions of Differential Equations under Generalized Pulse Perturbations

机译：广义脉冲摄动下微分方程解的稳定性

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Consideration was given to stability of the solution of the system of differential equations to the function of a locally bounded variation added to the right-hand side of the derivative (understood in the general sense). Simple attributes of stability and asymptotic stability were established for different classes of these equations.

机译：考虑了微分方程组解的稳定性与加在导数右边的局部有界变化的函数（在一般意义上是理解的）。针对这些方程的不同类别，建立了稳定性和渐近稳定性的简单属性。

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《Automation and Remote Control》 |2007年第10期|共8页
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A. D. Myshkis;
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1. Stability of Solutions of Differential Equations under Generalized Pulse Perturbations [J] . A. D. Myshkis Automation and Remote Control . 2007,第10期

机译：广义脉冲摄动下微分方程解的稳定性
2. STABILITY ANALYSIS OF STOCHASTIC DYNAMIC SYSTEMS UNDER POISSON PERTURBATIONS. Ⅰ. GENERAL ANALYSIS OF STABILITY OF SOLUTIONS OF STOCHASTIC DIFFERENTIAL EQUATIONS UNDER POISSON PERTURBATIONS [J] . I. V. Darijtchuk, V. K. Jasynsky, E. V. Jasynsky Cybernetics and Systems Analysis . 2005,第4期

机译：泊松摄动下随机动力系统的稳定性分析。 Ⅰ。泊松摄动下随机微分方程解的稳定性一般分析
3. ANALYSIS OF STABILITY OF STOCHASTIC DYNAMIC SYSTEMS UNDER POISSON PERTURBATIONS. Ⅱ. STABILITY OF SOLUTIONS IN QUADRATIC MEAN OF SYSTEMS OF LINEAR STOCHASTIC DIFFERENTIAL EQUATIONS UNDER POISSON PERTURBATIONS [J] . I. V. Darijtchuk, V. K. Jasynsky, A. V. Nikitin Cybernetics and Systems Analysis . 2005,第6期

机译：泊松摄动作用下随机动力系统的稳定性分析。 Ⅱ。泊松扰动线性随机微分方程组二次均值解的稳定性。
4. Generalized exponential stability of differential equations with non-instantaneous impulses [C] . Snezhana Hristova, Krasimira Ivanova, Todor Kostadinov International Conference Applications of Mathematics in Engineering and Economics . 2017

机译：非瞬时脉冲的微分方程的广义指数稳定性
5. The influence of surface perturbations and laminar separation bubble on boundary layer instability by direct numerical solution of the Navier-Stokes equations. [D] . Elli, Shahram. 1992

机译：通过Navier-Stokes方程的直接数值解，表面扰动和层流分离气泡对边界层不稳定性的影响。
6. Perturbations of Discontinuous Solutions of Non-Linear Systems of Differential Equations [O] . Norman Levinson 1947

机译：非线性微分方程组不连续解的摄动
7. On the Practical Stability of the Solutions of Impulsive Systems of Differential-Difference Equations with Variable Impulsive Perturbations [O] . Bainov Drumi D., Stamova Ivanka M. 1996

机译：可变脉冲摄动微分方程脉冲系统解的实用稳定性
8. Lyapunov stability for partial differential equations. Part 1 - Lyapunov stability theory and the stability of solutions to partial differential equations. Part 2 - Contraction groups and equivalent norms [R] . Buis, G. R., Eisen, M. M., Vogt, W. G. 1968

机译：偏微分方程的Lyapunov稳定性。第1部分 - Lyapunov稳定性理论和偏微分方程解的稳定性。第2部分 - 收缩组和等效规范

Stability of Solutions of Differential Equations under Generalized Pulse Perturbations

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