Stability of nonlinear Volterra equations

• Autorzy: Ngoc P. H. A. , Hieu L. T.

Identyfikatory

DOI

10.1515/bpasts-2017-0037

• Języki publikacji: EN

Abstrakty

EN

Using a novel approach, we present some new explicit criteria for global exponential stability of the zero solution of general nonlinear time-varying Volterra difference equations. Furthermore, an explicit stability bound for equations subject to nonlinear time-varying perturbations is given. Finally, the obtained results are used to study uniform attraction of equilibrium of discrete-time bidirectional associative memory (BAM) neural networks. Some illustrative examples are given.

Słowa kluczowe

EN

global exponential stability; Volterra equations

PL

globalna stabilność wykładnicza; równanie Volterra

• Wydawca: Polska Akademia Nauk, Wydział IV Nauk Technicznych
• Czasopismo: Bulletin of the Polish Academy of Sciences. Technical Sciences
• Rocznik: 2017
• Tom: Vol. 65, nr 3
• Strony: 333--340
• Opis fizyczny: Bibliogr. 24 poz.

Twórcy

autor

Ngoc P. H. A.

• Department of Mathematics, Vietnam National University-HCMC, International University, Saigon, Vietnam

autor

Hieu L. T.

• Department of Mathematics, Dong Thap University, Cao Lanh city, Dong Thap, Vietnam

Bibliografia

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Uwagi

PL

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017).