Uniqueness and Parameter Dependence of Positive Solution of Fourth-Order Nonhomogeneous BVPs
<p/> <p>We investigate the following fourth-order four-point nonhomogeneous Sturm-Liouville boundary value problem: <inline-formula> <graphic file="1687-2770-2010-106962-i1.gif"/></inline-formula>, <inline-formula> <graphic file="1687-2770-2010-1...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2010-01-01
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| Series: | Boundary Value Problems |
| Online Access: | http://www.boundaryvalueproblems.com/content/2010/106962 |
| Summary: | <p/> <p>We investigate the following fourth-order four-point nonhomogeneous Sturm-Liouville boundary value problem: <inline-formula> <graphic file="1687-2770-2010-106962-i1.gif"/></inline-formula>, <inline-formula> <graphic file="1687-2770-2010-106962-i2.gif"/></inline-formula>, <inline-formula> <graphic file="1687-2770-2010-106962-i3.gif"/></inline-formula>, where <inline-formula> <graphic file="1687-2770-2010-106962-i4.gif"/></inline-formula> and <inline-formula> <graphic file="1687-2770-2010-106962-i5.gif"/></inline-formula> are nonnegative parameters. Some sufficient conditions are given for the existence and uniqueness of a positive solution. The dependence of the solution on the parameters <inline-formula> <graphic file="1687-2770-2010-106962-i6.gif"/></inline-formula> is also studied.</p> |
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| ISSN: | 1687-2762 1687-2770 |