. This paper is concerned with a class of higher order nonlinear difference equations. Necessary and sufficient conditions are obtained for the differenece equation to admit the existence of nonoscillatory solutions with special asymptotic properties. Also, necessary and sufficient conditions for os
Asymptotic behavior of certain Riccati difference equations
โ Scribed by K. Balla
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 483 KB
- Volume
- 36
- Category
- Article
- ISSN
- 0898-1221
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โฆ Synopsis
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 equation have such an expansion. (~) 1998 Elsevier Science Ltd. All rights reserved.
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