Monotone solutions of first order nonlinear differential systems
| dc.contributor.author | Wang, Lianwen | |
| dc.contributor.author | Mubarak, Abdulrahman | |
| dc.date.accessioned | 2022-11-02T14:28:34Z | |
| dc.date.available | 2022-11-02T14:28:34Z | |
| dc.date.issued | 2021-11-23 | |
| dc.description.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. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 16 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | 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. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/16275 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2021, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Monotone solutions | |
| dc.subject | System of differential equations | |
| dc.subject | Boundedness | |
| dc.subject | Nonlinear | |
| dc.subject | Existence | |
| dc.subject | Continuability | |
| dc.title | Monotone solutions of first order nonlinear differential systems | |
| dc.type | Article |