Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
471097 | Computers & Mathematics with Applications | 2009 | 11 Pages |
Abstract
In this paper, several existence theorems of positive solutions are established for nonlinear mm-point boundary value problem for the following dynamic equations on time scales (ϕ(uΔ))∇+a(t)f(t,u(t))=0,t∈[0,T],ϕ(uΔ(0))=∑i=1m−2aiϕ(uΔ(ξi)),u(T)=∑i=1m−2biu(ξi), where ϕ:R⟶Rϕ:R⟶R is an increasing homeomorphism and homomorphism and ϕ(0)=0ϕ(0)=0. The nonlinear term ff may change sign. As an application, an example to demonstrate our results is given.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Yanbin Sang, Hua Su, Fuyi Xu,