Existence of positive solution for nonlinear fourth-order difference equations
β Scribed by Ruyun Ma; Youji Xu
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 285 KB
- Volume
- 59
- Category
- Article
- ISSN
- 0898-1221
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β¦ Synopsis
Let T be an integer with T β₯ 5 and let T 2 = {2, 3, . . . , T }. We show the existence and multiplicity of positive solutions of the boundary value problem of nonlinear fourth-order difference equation
π SIMILAR VOLUMES
In this paper we study the uniqueness question of positive solutions of the two X Ε½ . proved when f satisfies 0f uuf u for u ) 0. Some examples are also given.
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.
We consider the nonlinear neutral differential equations. This work contains some sufficient conditions for the existence of a positive solution which is bounded with exponential functions. The case when the solution converges to zero is also treated.