Abstract
In this paper, the existence of at least three non-negative solutions to non-local boundary-value problems for second-order differential equations with deviating arguments α and ζ is investigated. Sufficient conditions, which guarantee the existence of positive solutions, are obtained using the Avery–Peterson theorem. We discuss our problem for both advanced and delayed arguments. An example is added to illustrate the results.
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- Category:
- Articles
- Type:
- artykuł w czasopiśmie wyróżnionym w JCR
- Published in:
-
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS
pages 119 - 138,
ISSN: 0308-2105 - Language:
- English
- Publication year:
- 2014
- Bibliographic description:
- Jankowski T.: Positive solutions to Sturm–Liouville problems with non-local boundary conditions// PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS. -, nr. 144A (2014), s.119-138
- Verified by:
- Gdańsk University of Technology
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