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...
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2011-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2011/826451 |
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