期刊论文详细信息
Electronic Journal of Differential Equations | |
Monotone solutions of first order nonlinear differential systems | |
article | |
Lianwen Wang1  Abdulrahman Mubarak2  | |
[1] School of Computer Science and Mathematics University of Central Missouri Warrensburg;Department of Mathematics Kuwait University | |
关键词: Monotone solutions; system of differential equations; boundedness; nonlinear; existence; continuability; | |
DOI : 10.58997/ejde.2021.93 | |
学科分类:数学(综合) | |
来源: Texas State University | |
【 摘 要 】
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.
【 授权许可】
CC BY
【 预 览 】
Files | Size | Format | View |
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RO202307120000363ZK.pdf | 309KB | download |