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Monotone iterative method to second order differential equations with deviating arguments involving Stieltjes integral boundary conditions
Abstract
We use a monotone iterative method for second order differential equations with deviating arguments and boundary conditions involving Stieltjes integrals. We establish sufficient conditions which guarantee that such problems have extremal solutions in the corresponding region bounded by lower and upper solutions. We also discuss the situation when problems have coupled quasi-solutions. We illustrate our results by three examples.
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- Category:
- Articles
- Type:
- artykuł w czasopiśmie wyróżnionym w JCR
- Published in:
-
DYNAMIC SYSTEMS AND APPLICATIONS
no. 21,
pages 17 - 32,
ISSN: 1056-2176 - Language:
- English
- Publication year:
- 2012
- Bibliographic description:
- Jankowski T., Jankowski R.: Monotone iterative method to second order differential equations with deviating arguments involving Stieltjes integral boundary conditions// DYNAMIC SYSTEMS AND APPLICATIONS. -Vol. 21, (2012), s.17-32
- Verified by:
- Gdańsk University of Technology
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