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Averaging and stabilityстатья
- Автор: Khapaev M.M.
- Сборник: Nelineĭnyĭ analiz i nelineĭnye differentsial’nye uravneniya
- Год издания: 2003
- Место издания: Moskva: FIZMATLIT Moskva
- Первая страница: 317
- Последняя страница: 336
- Аннотация: The systems dx/dt=f(t,x)](1) and dx/dt=f(t,x)+μR(t,x)(2) are considered in the domain G=I×B H ,I=[0,∞),B H ={x∈ℝ n :∥x∥<H},μ≪1. It is supposed that systems (1),(2) have the zero solutions. The zero solution of system (1) is assumed to be nonasymptotically stable. Conditions on R are obtained such that the zero solution of system (2) is stable, asymptotically stable, or unstable, respectively.
- Добавил в систему: Хапаев Михаил Михайлович