Exponential stability results for variable delay difference equations

• Autorzy: Yankson Ernest

Identyfikatory

DOI

10.7494/OpMath.2021.41.1.145

• Języki publikacji: EN

Abstrakty

EN

Sufficient conditions that guarantee exponential decay to zero of the variable delay difference equation [formula] are obtained. These sufficient conditions are deduced via inequalities by employing Lyapunov functionals. In addition, a criterion for the instability of the zero solution is established. The results in the paper generalizes some results in the literature.

Słowa kluczowe

EN

exponential stability Lyapunov functional instability

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2021
• Tom: Vol. 41, no. 1
• Strony: 145--155
• Opis fizyczny: Bibliogr. 7 poz.

Twórcy

autor

Yankson Ernest

• Department of Mathematics University of Cape Coast Cape Coast, Ghana

• https://orcid.org/0000-0002-5621-1048

Bibliografia

• [1] I. Berezansky, E. Braverman, Exponential stability of difference equations with several delays: Recursive approach, Adv. Difference Edu. 2009 (2009), Article ID 104310, 13 pp.
• [2] H.A. El-Morshedy, New explicit global asymptotic stability criteria for higher order difference equations, J. Math. Anal. Appl. 336 (2007), 262-276.
• [3] S. Elaydi, An introduction to Difference Equations, Springer Verlage, New York, 3rd ed., 2005.
• [4] W. Kelley, A. Peterson, Difference Equations: An Introduction with Applications, 2nd ed., Academic Press, New York, 2001.
• 5] M. Islam, E. Yankson, Boundedness and stability in nonlinear delay difference equations employing fixed point theory, Electron. J. Qual. Theory Differ. Equ. 26 (2005), 1-18
• [6] Y. Raffoul, Stability and periodicity in discrete delay equations, J. Math. Anal. Appl. 324 (2006), 1356-1362.
• [7] Y. Raffoul, Inequalities that lead to exponential stability and instability in delay difference equations, J. Inequal. Pure Appl. Math. 10 (2009), no. 3, Article 70, 9 pp.

Uwagi

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021).