Necessary and sufficient conditions are obtained for existence of positive solutions of a nonlinear difference equation. Relations between this equation and an advanced type nonlinear difference equation are also discussed.
On Unbounded Positive Solutions of Second-Order Difference Equations with a Singular Nonlinear Term
β Scribed by Wan-Tong Li; Xian-Ling Fan; Cheng-kui Zhong
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 79 KB
- Volume
- 246
- Category
- Article
- ISSN
- 0022-247X
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π SIMILAR VOLUMES
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A closed form solution of a second order linear homogeneous difference equation with variable coefficients is presented. As an application of this solution, Ε½ . we obtain expressions for cos n and sin n q 1 rsin as polynomials in cos .
## SUMMARY In this paper, we consider the problem of existence of certain global solutions for general discreteβtime backward nonlinear equations, defined on infinite dimensional ordered Banach spaces. This class of nonlinear equations includes as special cases many of the discreteβtime Riccati equ