Asymptotic estimates and exponential stability for higher-order monotone difference equations | Zendy

Eduardo Liz | Zendy; Mihály Pituk | Zendy

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Asymptotic estimates and exponential stability for higher-order monotone difference equations

Author(s) -

Eduardo Liz,

Mihály Pituk

Publication year - 2005

Publication title -

advances in difference equations

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.67

H-Index - 51

eISSN - 1687-1847

pISSN - 1687-1839

DOI - 10.1155/ade.2005.41

Subject(s) - mathematics , monotone polygon , ordinary differential equation , exponential stability , partial differential equation , exponential function , order (exchange) , stability (learning theory) , mathematical analysis , differential equation , nonlinear system , geometry , computer science , physics , quantum mechanics , finance , machine learning , economics

Asymptotic estimates are established for higher-order scalar difference equations and inequalities the right-hand sides of which generate a monotone system with respect to the discrete exponential ordering. It is shown that in some cases the exponential estimates can be replaced with a more precise limit relation. As corollaries, a generalization of discrete Halanay-type inequalities and explicit sufficient conditions for the global exponential stability of the zero solution are given

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