用李雅普诺夫函数定性分析时间尺度上的动力方程

Differential Equations & Applications Pub Date : 1900-01-01 DOI:10.7153/dea-2022-14-14

E. Messina, Y. Raffoul, A. Vecchio

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引用次数: 1

摘要

．利用李雅普诺夫函数研究了时间尺度上动态方程的有界性和稳定性。我们的大多数李雅普诺夫函数都涉及到项| x |及其Δ -导数。特别地，我们证明了关于时滞动力系统解的定性分析的一般定理，然后用部分包含x的Lyapunov泛函提供了例子。

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Qualitative analysis of dynamic equations on time scales using Lyapunov functions

. We employ Lyapunov functions to study boundedness and stability of dynamic equa- tions on time scales. Most of our Lyapunov functions involve the term | x | and its Δ -derivative. In particular, we prove general theorems regarding qualitative analysis of solutions of delay dynamical systems and then use Lyapunov functionals that partially include | x | to provide ex-amples.

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Differential Equations & Applications

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