Existence of Solution and Positive Solution for a Nonlinear Third-Order <inline-formula> <graphic file="1687-1812-2010-126192-i1.gif"/></inline-formula>-Point BVP
<p/> <p>In this paper, we are concerned with the following nonlinear third-order <inline-formula> <graphic file="1687-1812-2010-126192-i2.gif"/></inline-formula>-point boundary value problem: <inline-formula> <graphic file="1687-1812-2010-126192-...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2010-01-01
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| Series: | Fixed Point Theory and Applications |
| Online Access: | http://www.fixedpointtheoryandapplications.com/content/2010/126192 |
| Summary: | <p/> <p>In this paper, we are concerned with the following nonlinear third-order <inline-formula> <graphic file="1687-1812-2010-126192-i2.gif"/></inline-formula>-point boundary value problem: <inline-formula> <graphic file="1687-1812-2010-126192-i3.gif"/></inline-formula>, <inline-formula> <graphic file="1687-1812-2010-126192-i4.gif"/></inline-formula>, <inline-formula> <graphic file="1687-1812-2010-126192-i5.gif"/></inline-formula>, <inline-formula> <graphic file="1687-1812-2010-126192-i6.gif"/></inline-formula>, <inline-formula> <graphic file="1687-1812-2010-126192-i7.gif"/></inline-formula>. Some existence criteria of solution and positive solution are established by using the Schauder fixed point theorem. An example is also included to illustrate the importance of the results obtained.</p> |
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| ISSN: | 1687-1820 1687-1812 |