Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
471066 | Computers & Mathematics with Applications | 2010 | 8 Pages |
Abstract
In this paper, we study the following functional dynamic equation on time scales: {[Φ(uΔ(t))]∇+a(t)f(u(t),u(μ(t)))=0,t∈(0,T)T,u(t)=φ(t),t∈[−r,0)T,u(0)−B0(uΔ(0))=0,uΔ(T)=0, where Φ:R→RΦ:R→R is an increasing homeomorphism and a positive homomorphism and Φ(0)=0Φ(0)=0. By using the well-known Leggett–Williams fixed point theorem, existence criteria for multiple positive solutions are established. An example is also given to illustrate the main results.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Da-Bin Wang, Jian-Ping Sun, Wen Guan,