Monotone solutions of first order nonlinear differential systems

Electronic Journal of Differential Equations

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