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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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