Geodesic
General theorems for uniform asymptotic stability and boundedness in finitely delayed difference systems
Canadian mathematical bulletin, Tome 67 (2024) no. 4, pp. 1046-1058

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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.
DOI : 10.4153/S0008439524000353
Mots-clés : Finite delay, Lyapunov functional, uniform asymptotic stability, uniform boundedness, nonlinear 
Raffoul, Youssef N. General theorems for uniform asymptotic stability and boundedness in finitely delayed difference systems. Canadian mathematical bulletin, Tome 67 (2024) no. 4, pp. 1046-1058. doi: 10.4153/S0008439524000353
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     title = {General theorems for uniform asymptotic stability and boundedness in finitely delayed difference systems},
     journal = {Canadian mathematical bulletin},
     pages = {1046--1058},
     year = {2024},
     volume = {67},
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     doi = {10.4153/S0008439524000353},
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