Positive Solutions of Singular Complementary Lidstone Boundary Value Problems
<p/> <p>We investigate the existence of positive solutions of singular problem <inline-formula> <graphic file="1687-2770-2010-368169-i1.gif"/></inline-formula>, <inline-formula> <graphic file="1687-2770-2010-368169-i2.gif"/></inline-fo...
| 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/2010/368169 |
| Summary: | <p/> <p>We investigate the existence of positive solutions of singular problem <inline-formula> <graphic file="1687-2770-2010-368169-i1.gif"/></inline-formula>, <inline-formula> <graphic file="1687-2770-2010-368169-i2.gif"/></inline-formula>, <inline-formula> <graphic file="1687-2770-2010-368169-i3.gif"/></inline-formula>, <inline-formula> <graphic file="1687-2770-2010-368169-i4.gif"/></inline-formula>. Here, <inline-formula> <graphic file="1687-2770-2010-368169-i5.gif"/></inline-formula> and the Carathéodory function <inline-formula> <graphic file="1687-2770-2010-368169-i6.gif"/></inline-formula> may be singular in all its space variables <inline-formula> <graphic file="1687-2770-2010-368169-i7.gif"/></inline-formula>. The results are proved by regularization and sequential techniques. In limit processes, the Vitali convergence theorem is used.</p> |
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| ISSN: | 1687-2762 1687-2770 |