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Stability of solutions and the problem of Aizerman for sixth-order differential equations
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- المؤلفون: Boris S. Kalitine
- المصدر:
Журнал Белорусского государственного университета: Математика, информатика, Iss 2, Pp 49-58 (2020)
- الموضوع:
- نوع التسجيلة:
article
- اللغة:
Belarusian
English
Russian
- الدخول الالكتروني :
- معلومة اضافية
- بيانات النشر:
Belarusian State University, 2020.
- الموضوع:
2020
- Collection:
LCC:Mathematics
- نبذة مختصرة :
This article is devoted to the investigation of stability of equilibrium of ordinary differential equations using the method of semi-definite Lyapunov’s functions. Types of scalar nonlinear sixth-order differential equations for which regular constant auxiliary functions are used are emphasized. Sufficient conditions of global asymptotic stability and instability of the zero solution have been obtained and it has been established that the Aizerman problem has a positive solution concerning the roots of the corresponding linear differential equation. Studies highlight the advantages of using semi-definite functions compared to definitely positive Lyapunov’s functions.
- File Description:
electronic resource
- ISSN:
2520-6508
2617-3956
- Relation:
https://journals.bsu.by/index.php/mathematics/article/view/3143; https://doaj.org/toc/2520-6508; https://doaj.org/toc/2617-3956
- الرقم المعرف:
10.33581/2520-6508-2020-2-49-58
- الرقم المعرف:
edsdoj.863bef2214cd58a59de011de511fc
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