Back to Search
Start Over
Existence and Uniqueness of Positive Solution for Discrete Multipoint Boundary Value Problems.
- Source :
-
ISRN Otolaryngology . 2014, p1-6. 6p. - Publication Year :
- 2014
-
Abstract
- It is expected in this paper to investigate the existence and uniqueness of positive solution for the following difference equation: -Δ²u(t - 1) = f(t, u(t)) + g(t, u(t)), t ∈ Z1, T, subject to boundary conditions either u(0) - βΔu(0) = 0, u(T + 1) = αu(η) or Δu(0) = 0,u(T + 1) = αu(η), where 0 < α < 1, β > 0, and η ∈2, T-1. The proof of the main result is based upon a fixed point theorem of a sum operator. It is expected in this paper not only to establish existence and uniqueness of positive solution, but also to show a way to construct a series to approximate it by iteration. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 20905742
- Database :
- Academic Search Index
- Journal :
- ISRN Otolaryngology
- Publication Type :
- Academic Journal
- Accession number :
- 100568200
- Full Text :
- https://doi.org/10.1155/2014/531978