Some stability conditions for scalar Volterra difference equations

• Autorzy: Berezansky L. , Migda M. , Schmeidel E.

Identyfikatory

DOI

10.7494/OpMath.2016.36.4.459

• Języki publikacji: EN

Abstrakty

EN

New explicit stability results are obtained for the following scalar linear difference equation [formula] and for some nonlinear Volterra difference equations.

Słowa kluczowe

EN

linear and nonlinear Volterra difference equations; boundedness of solutions; exponential and asymptotic stability

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2016
• Tom: Vol. 36, no. 4
• Strony: 459--470
• Opis fizyczny: Bibliogr. 19 poz.

Twórcy

autor

Berezansky L.

• Ben-Gurion University of Negev Department of Mathematics Beer-Sheva, 84105 Israel

autor

Migda M.

• Poznań University of Technology Institute of Mathematics Piotrowo 3A, 60-965 Poznań, Poland

autor

Schmeidel E.

• [e-mail]
• University of Białystok Institute of Mathematics Faculty of Mathematics and Computer Science Ciołkowskiego 1M, 15-245 Białystok, Poland

Bibliografia

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• [2] M.R. Crisci, V.B. Kolmanovskii, E. Russo, A. Vecchio, Boundedness of discrete Volterra equations, J. Math. Anal. Appl. 211 (1997) 1, 106-130.
• [3] M.R. Crisci, V.B. Kolmanovskii, E. Russo, A. Vecchio, Stability of difference Volterra equations: direct Liapunov method and numerical procedure, Advances in difference equations, II. Comput. Math. Appl. 36 (1998) 10-12, 77-97.
• [4] M.R. Crisci, V.B. Kolmanovskii, E. Russo, A. Vecchio, On the exponential stability of discrete Volterra systems, J. Differ. Equations Appl. 6 (2000) 6, 667-680.
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Uwagi

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