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Periodic solutions of difference equations with general periodicity

โœ Scribed by R.P. Agarwal; Weinian Zhang

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
389 KB
Volume
42
Category
Article
ISSN
0898-1221

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โœฆ Synopsis

Motivated by [1], we study the existence of periodic solutions of a perturbed continuous difference equation of first order without the assumptions of one-periodicity. Moreover, we generalize our results to the case of higher-order difference equations. We also give an algorithm to estimate the bound of the parameter for which periodic solutions exist.

๐Ÿ“œ SIMILAR VOLUMES

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โœ Taishan Yi; Zhan Zhou ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 178 KB

Consider the difference equation arising as a discrete-time network of single neuron, where ฮฒ 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