Uniqueness of positive solutions of a class of ODE with nonlinear boundary conditions
<p/> <p>We study the uniqueness of positive solutions of the boundary value problem <inline-formula><graphic file="1687-2770-2005-756805-i1.gif"/></inline-formula>, <inline-formula><graphic file="1687-2770-2005-756805-i2.gif"/></inline...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2005-01-01
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| Series: | Boundary Value Problems |
| Online Access: | http://www.boundaryvalueproblems.com/content/2005/756805 |
| Summary: | <p/> <p>We study the uniqueness of positive solutions of the boundary value problem <inline-formula><graphic file="1687-2770-2005-756805-i1.gif"/></inline-formula>, <inline-formula><graphic file="1687-2770-2005-756805-i2.gif"/></inline-formula>, <inline-formula><graphic file="1687-2770-2005-756805-i3.gif"/></inline-formula>, <inline-formula><graphic file="1687-2770-2005-756805-i4.gif"/></inline-formula>, where <inline-formula><graphic file="1687-2770-2005-756805-i5.gif"/></inline-formula>, <inline-formula><graphic file="1687-2770-2005-756805-i6.gif"/></inline-formula> and <inline-formula><graphic file="1687-2770-2005-756805-i7.gif"/></inline-formula>, <inline-formula><graphic file="1687-2770-2005-756805-i8.gif"/></inline-formula> with <inline-formula><graphic file="1687-2770-2005-756805-i9.gif"/></inline-formula> on <inline-formula><graphic file="1687-2770-2005-756805-i10.gif"/></inline-formula> and <inline-formula><graphic file="1687-2770-2005-756805-i11.gif"/></inline-formula> satisfy suitable conditions. The proof of our main result is based upon the shooting method and the Sturm comparison theorem.</p> |
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| ISSN: | 1687-2762 1687-2770 |