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

Author

Listed:
  • Adrian Nicolae Branga

    (Department of Mathematics and Informatics, Lucian Blaga University of Sibiu, Dr. I. Raţiu Street, No. 5–7, 550012 Sibiu, Romania
    These authors contributed equally to this work.)

  • Ion Marian Olaru

    (Department of Mathematics and Informatics, Lucian Blaga University of Sibiu, Dr. I. Raţiu Street, No. 5–7, 550012 Sibiu, Romania
    These authors contributed equally to this work.)

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.

Suggested Citation

  • Adrian Nicolae Branga & Ion Marian Olaru, 2020. "An Application of the Fixed Point Theory to the Study of Monotonic Solutions for Systems of Differential Equations," Mathematics, MDPI, vol. 8(7), pages 1-7, July.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:7:p:1183-:d:386405
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    References listed on IDEAS

    as
    1. Sujitra Sanhan & Winate Sanhan & Chirasak Mongkolkeha, 2018. "New Existence of Fixed Point Results in Generalized Pseudodistance Functions with Its Application to Differential Equations," Mathematics, MDPI, vol. 6(12), pages 1-14, December.
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