| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 842004 | Nonlinear Analysis: Theory, Methods & Applications | 2010 | 11 Pages |
Abstract
We study the second order singular boundary value problem u″+λf(t,u)=0,t∈(0,1),u(0)=∫01u(s)dξ(s),u(1)=∫01u(s)dη(s). Sufficient conditions are obtained for the existence and uniqueness of positive solutions. The dependence of positive solutions on the parameter λλ is also studied. Moreover, application of our theory to a special problem is discussed. To prove our theorem, we utilize some results from the mixed monotone operator theory.
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Authors
Lingju Kong,