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Abstract
This paper concerns the application of the monotone iterative technique for first-order differential equations involving Stieltjes integrals conditions. We discuss such problems at resonance when the measure in the Stieltjes integral is positive and also when this measure changes the sign. Sufficient conditions which guarantee the existence of extremal, unique and quasi-solutions are given. Three examples illustrate the results.
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- Category:
- Articles
- Type:
- artykuł w czasopiśmie wyróżnionym w JCR
- Published in:
-
APPLIED MATHEMATICS AND COMPUTATION
no. 233,
pages 20 - 28,
ISSN: 0096-3003 - Language:
- English
- Publication year:
- 2014
- Bibliographic description:
- Jankowski T.: Monotone iterative method for first-order differential equations at resonance// APPLIED MATHEMATICS AND COMPUTATION. -Vol. 233, (2014), s.20-28
- DOI:
- Digital Object Identifier (open in new tab) 10.1016/j.amc.2014.01.123
- Verified by:
- Gdańsk University of Technology
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