Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
470204 | Computers & Mathematics with Applications | 2006 | 22 Pages |
Abstract
We consider the following boundary value problem,(−1)n−1yΔn(t)=(−1)p+1F(t,y(σn−1(t))),t∈[a,b]∩T,yΔi(a)=0,0≤i≤p−1,yΔi(σ(b))=0,p≤i≤n−1,where n ≥ 2, 1 ⩽ p ⩽ n - 1 is fixed and T is a time scale. Criteria for the existence of single, double, and multiple positive solutions of the boundary value problem are developed. Upper and lower bounds for these positive solutions are established for two special cases that arise from some physical phenomena. We also include several examples to illustrate the usefulness of the results obtained.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
K.L. Boey, Patricia J.Y. Wong,