Positive Solutions of a Nonlinear Three-Point Integral Boundary Value Problem
<p/> <p>We study the existence of positive solutions to the three-point integral boundary value problem <inline-formula> <graphic file="1687-2770-2010-519210-i1.gif"/></inline-formula>, <inline-formula> <graphic file="1687-2770-2010-519210-i2.gif...
| 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/2010/519210 |
| Summary: | <p/> <p>We study the existence of positive solutions to the three-point integral boundary value problem <inline-formula> <graphic file="1687-2770-2010-519210-i1.gif"/></inline-formula>, <inline-formula> <graphic file="1687-2770-2010-519210-i2.gif"/></inline-formula>, <inline-formula> <graphic file="1687-2770-2010-519210-i3.gif"/></inline-formula>, <inline-formula> <graphic file="1687-2770-2010-519210-i4.gif"/></inline-formula>, where <inline-formula> <graphic file="1687-2770-2010-519210-i5.gif"/></inline-formula> and <inline-formula> <graphic file="1687-2770-2010-519210-i6.gif"/></inline-formula>. We show the existence of at least one positive solution if <it>f</it> is either superlinear or sublinear by applying the fixed point theorem in cones.</p> |
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| ISSN: | 1687-2762 1687-2770 |