School of Computer Science and Mathematics
University of Central Missouri
Warrensburg, MO 64093, USA
email: lwang@ucmo.edu
Department of Mathematics
Kuwait University, P.O. Box 5969
Safat- 3060, Kuwait
email: abdulrahman.mubarak@ku.edu.kw
Lianwen Wang, Abdulrahman Mubarak
Abstract:
This article concerns the classification, continuablity, boundedness, and existence
of solutions for a system of first order nonlinear differential equations.
First, we prove that all solutions of the system are eventually monotonic and can
be separated into two classes. Then we discuss the continuability of solutions.
After that we establish necessary and sufficient conditions for the boundedness of
all solutions. Also, we study the existence of monotone solutions in certain classes.
Submitted August 7, 2020. Published November 23, 2021.
Math Subject Classifications: 34C11, 34C12.
Key Words: Monotone solutions; system of differential equations; boundedness;
nonlinear; existence; continuability
DOI: https://doi.org/10.58997/ejde.2021.93
Show me the PDF file (317 KB), TEX file for this article.
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Lianwen Wang School of Computer Science and Mathematics University of Central Missouri Warrensburg, MO 64093, USA email: lwang@ucmo.edu |
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Abdulrahman Mubarak Department of Mathematics Kuwait University, P.O. Box 5969 Safat- 3060, Kuwait email: abdulrahman.mubarak@ku.edu.kw |
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