An Application of the Fixed Point Theory to the Study of Monotonic Solutions for Systems of Differential Equations

Adrian Branga and Ion Marian Olaru
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Ion Marian Olaru: Department of Mathematics and Informatics, Lucian Blaga University of Sibiu, Dr. I. Raţiu Street, No. 5–7, 550012 Sibiu, Romania

Mathematics, 2020, vol. 8, issue 7, 1-7

Abstract: In this paper, we establish some conditions for the existence and uniqueness of the monotonic solutions for nonhomogeneous systems of first-order linear differential equations, by using a result of the fixed points theory for sequentially complete gauge spaces.

Keywords: systems of differential equations; monotonic solutions; existence and uniqueness theorems; fixed point theory; sequentially complete gauge spaces (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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