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General theorems for uniform asymptotic stability and boundedness in finitely delayed difference systems
Published online by Cambridge University Press: 27 May 2024
Abstract
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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- © The Author(s), 2024. Published by Cambridge University Press on behalf of Canadian Mathematical Society