Asymptotic behavior of Volterra difference equations
β Scribed by R. Medina
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 399 KB
- Volume
- 41
- Category
- Article
- ISSN
- 0898-1221
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π SIMILAR VOLUMES
We give sufficient conditions for the existence of a bounded (resp. convergent) solution of a class of difference equations and Volterra difference equation.
The concept of h-stability is studied and compared with the classical stabilities. Basically, the h-stability is applied to obtain a uniform treatment for the concept of stability in difference equations.
Matrix Riccati difference equations are investigated on the infinite index set. Under natural assumptions an existence and uniqueness theorem is proven. The existence of the asymptotic expansion of the solution and computability of its coefficients are shown, provided the coefficients of the equatio