Stable periodic solutions of difference equations
โ Scribed by R.P. Agarwal; E.Yu. Romanenko
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 218 KB
- Volume
- 11
- Category
- Article
- ISSN
- 0893-9659
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
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
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 boun