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- Title
Existence of Positive Solutions of a Discrete Elastic Beam Equation.
- Authors
Ruyun Ma; Jiemei Li; Chenghua Gao
- Abstract
Let T be an integer with T ≥ 5 and let 핋2 = {2, 3,…, T}. We consider the existence of positive solutions of the nonlinear boundary value problems of fourth-order difference equations Δ4u(t - 2) - ra(t) f (u(t)) = 0, t ∈ 핋2, u (1) = u(T + 1) = Δ²u(0) = Δ²u(T) = 0, where r is a constant, a : 핋2 → (0, ∞), and f : [0, ∞) → [0, ∞) is continuous. Our approaches are based on the Krein-Rutman theorem and the global bifurcation theorem.
- Subjects
BOUNDARY value problems; DIFFERENTIAL equations; MATHEMATICS; MATHEMATICAL models; TOPOLOGY
- Publication
Discrete Dynamics in Nature & Society, 2010, p1
- ISSN
1026-0226
- Publication type
Article
- DOI
10.1155/2010/582919