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First-order differential equations with nonlocal boundary conditions

Abstract

We study a first-order boundary value problem subject to some boundary conditions given by Riemann-Stieltjes integrals. Using a monotone iterative method, we formulate sufficient conditions which guarantee the existence of extremal or quasi-solutions in the corresponding region bounded by upper and lower solutions of our problems. The case when a unique solution exists is also investigated. Some examples are given to illustrate our results.

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Category:
Articles
Type:
artykuł w czasopiśmie wyróżnionym w JCR
Published in:
DYNAMIC SYSTEMS AND APPLICATIONS no. 24, edition 1, pages 195 - 210,
ISSN: 1056-2176
Language:
English
Publication year:
2015
Bibliographic description:
Jankowski T.: First-order differential equations with nonlocal boundary conditions// DYNAMIC SYSTEMS AND APPLICATIONS. -Vol. 24, iss. 1 (2015), s.195-210
Verified by:
Gdańsk University of Technology

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