Positive solutions to Sturm–Liouville problems with non-local boundary conditions

Tadeusz Jankowski

Positive solutions to Sturm–Liouville problems with non-local boundary conditions

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.

Author (1)

Tadeusz Jankowski prof. dr hab.

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Keywords

EXISTENCE OF AT LEAST THREE NON-NEGATIVE SOLUTIONS

Details

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