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Positive solutions for second order impulsive differential equations involving Stieltjes integral conditions
Abstract
In this paper we investigate integral boundary value problems for fourth order differentialequations with deviating arguments.Wediscuss our problem both for advanced or delayedarguments. We establish sufficient conditions under which such problems have positivesolutions. To obtain the existence of multiple (at least three) positive solutions, we use afixed point theorem due to Avery and Peterson. An example is also included to illustratethat corresponding assumptions are satisfied. The results are new.
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- Category:
- Articles
- Type:
- artykuł w czasopiśmie wyróżnionym w JCR
- Published in:
-
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
no. 73,
pages 1289 - 1299,
ISSN: 0362-546X - Language:
- English
- Publication year:
- 2011
- Bibliographic description:
- Jankowski T.: Positive solutions for second order impulsive differential equations involving Stieltjes integral conditions// NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS. -Vol. 73, nr. iss. 15 (2011), s.1289-1299
- Verified by:
- Gdańsk University of Technology
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