有限延迟差分系统中均匀渐近稳定性和有界性的一般定理

Canadian Mathematical Bulletin Pub Date : 2024-05-27 DOI:10.4153/s0008439524000353

Youssef N. Raffoul

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摘要

论文涉及解的有界性和零解的均匀渐近稳定性。在我们目前的工作中，我们旨在解决作者在其著作《Volterra 差分方程定性理论》（2018 年，Springer, Cham）中提出的两个未决问题。我们的方法以找到满足特定条件的适当 Lyapunov 函数为中心，并结合了楔的概念。

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General theorems for uniform asymptotic stability and boundedness in finitely delayed difference systems

The paper deals with boundedness of solutions and uniform asymptotic stability of the zero solution. In our current undertaking, we aim to solve two open problems that were proposed by the author in his book Qualitative theory of Volterra difference equations (2018, Springer, Cham). Our approach centers on finding the appropriate Lyapunov functional that satisfies specific conditions, incorporating the concept of wedges.

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Canadian Mathematical Bulletin

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