Existence of Positive Solutions for a Fourth-Order Periodic Boundary Value Problem
The existence results of positive solutions are obtained for the fourth-order periodic boundary value problem u(4)−βu′′+αu=f(t,u,u′′), 0≤t≤1, u(i)(0)=u(i)(1), i=0,1,2,3, where f:[0,1]×R+×R→R+ is continuous, α,β∈R, and satisfy 0<α<((β/2)+2π2)2, β>−2π2,(α/π4)+(β/π2)+1>0. The discussion...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2011-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2011/826451 |