Monotone Positive Solution of Nonlinear Third-Order BVP with Integral Boundary Conditions
<p/> <p>This paper is concerned with the following third-order boundary value problem with integral boundary conditions <inline-formula> <graphic file="1687-2770-2010-874959-i1.gif"/></inline-formula><inline-formula> <graphic file="1687-2770-2010...
| 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/2010/874959 |
| Summary: | <p/> <p>This paper is concerned with the following third-order boundary value problem with integral boundary conditions <inline-formula> <graphic file="1687-2770-2010-874959-i1.gif"/></inline-formula><inline-formula> <graphic file="1687-2770-2010-874959-i2.gif"/></inline-formula>, where <inline-formula> <graphic file="1687-2770-2010-874959-i3.gif"/></inline-formula> and <inline-formula> <graphic file="1687-2770-2010-874959-i4.gif"/></inline-formula>. By using the Guo-Krasnoselskii fixed-point theorem, some sufficient conditions are obtained for the existence and nonexistence of monotone positive solution to the above problem.</p> |
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| ISSN: | 1687-2762 1687-2770 |