| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 1709867 | Applied Mathematics Letters | 2010 | 7 Pages |
Abstract
In this paper, we study the existence of positive solutions of fourth-order boundary value problem u(4)(t)=f(t,u(t),u″(t)),t∈(0,1),u(0)=u(1)=u″(0)=u″(1)=0,u(0)=u(1)=u″(0)=u″(1)=0, where f:[0,1]×[0,∞)×(−∞,0]→[0,∞)f:[0,1]×[0,∞)×(−∞,0]→[0,∞) is continuous. The proof of our main result is based upon the Krein–Rutman theorem and the global bifurcation techniques.
Related Topics
Physical Sciences and Engineering
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Computational Mechanics
Authors
Ruyun Ma, Ling Xu,