Several Existence Theorems of Nonlinear m-Point BVP for an Increasing Homeomorphism and Homomorphism on Time Scales. (30th April 2008)

• Record Type: Journal Article
• Authors: Sang, Yanbin; Su, Hua; Xiao, Yafeng
• Other Names: Zhang Bing Academic Editor.
• Is Part Of: Discrete dynamics in nature and society. Volume 2008(2008)
• Publication Date: 2008-04-30
• Subjects: System analysis -- Periodicals; Dynamics -- Periodicals; Chaotic behavior in systems -- Periodicals; Differentiable dynamical systems -- Periodicals; 003.05
• DOI: 10.1155/2008/252876
• Languages: English
• ISSNs: 1026-0226

Abstract

Abstract : Several existence theorems of positive solutions are established for nonlinearm -point boundary value problem for the following dynamic equations on time scales( ϕ ( u Δ ) ) ∇ + a ( t ) f ( t, u ( t ) ) = 0, t ∈ ( 0, T ), ϕ ( u Δ ( 0 ) ) = ∑ i = 1 m − 2 a i ϕ ( u Δ ( ξ i ) ), u ( T ) = ∑ i = 1 m − 2 b i u ( ξ i ), whereϕ : R → R is an increasing homeomorphism and homomorphism andϕ ( 0 ) = 0 . As an application, an example to demonstrate our results is given.