Monotone solutions of first order nonlinear differential systems
Texas State University, Department of Mathematics
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.
Monotone solutions, System of differential equations, Boundedness, Nonlinear, Existence, Continuability
Wang, L., & Mubarak, A. (2021). Monotone solutions of first order nonlinear differential systems. <i>Electronic Journal of Differential Equations, 2021</i>(93), pp. 1-16.