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Periodic solutions of Volterra difference equations and attractivity

✍ Scribed by Tetsuo Furumochi

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
442 KB
Volume
47
Category
Article
ISSN
0362-546X

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πŸ“œ SIMILAR VOLUMES

Periodic solutions of difference equatio
Periodic solutions of difference equations
✍ Taishan Yi; Zhan Zhou πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 178 KB

Consider the difference equation arising as a discrete-time network of single neuron, where Ξ² is the internal decay rate, g is a signal function with McCulloch-Pitts nonlinearity. For any positive integers k and m, necessary and sufficient conditions are obtained for ( \* ) has a periodic solution

Periodic Solutions of Periodic Delay Lot
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✍ Yongkun Li; Yang Kuang πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 136 KB

By using the continuation theorem of coincidence degree theory, sufficient and realistic conditions are obtained for the existence of positive periodic solutions for both periodic Lotka᎐Volterra equations and systems with distributed or statedependent delays. Our results substantially extend and imp

Limiting periodicity of the solutions fo
Limiting periodicity of the solutions for some volterra difference equations
✍ V.B. Kolmanovskii πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 138 KB

Conditions of the limiting of periodicity of the solutions for some Volterra di erence equations are derived. These conditions are formulated immediately in terms of the coe cients of equations and their resolvent, using the second Liapunov method and ΓΏxed point theorem.