New Qualitative Outcomes for Ordinary Differential Systems of Second Order

被引：0
作者：
Gtizen, Melek [1 ]
机构：
[1] Van Yuzuncu Yil Univ, Dept Business Adm, Fac Management, TR-65080 Ercis Van, Turkiye
来源：
CONTEMPORARY MATHEMATICS | 2023年 / 4卷 / 04期
关键词：
differential system; second order; the second method of Lyapunov; integrability; stability; boundedness; ASYMPTOTIC STABILITY; BOUNDEDNESS PROPERTIES; EQUATIONS; CRITERIA;
D O I：
10.37256/cm.4420233045
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper deals with a nonlinear ordinary differential system of second order. In the paper, qualitative properties of solutions of the system called asymptotic stability (AS), uniform stability (US), boundedness, ultimately boundedness (UB) and integrability of solutions, are investigated by using the second method of Lyapunov. We give four new qualitative results and an example as a numerical application of the results. The results of this article extend and improve some earlier ones in the literature.
引用
收藏
页码：1210 / 1221
页数：12
相关论文
共 49 条
[1]   Stability and Boundedness of Solutions to a Certain Second-Order Nonautonomous Stochastic Differential Equation [J].
Ademola, A. T. ;
Moyo, S. ;
Ogundare, B. S. ;
Ogundiran, M. O. ;
Adesina, O. A. .
INTERNATIONAL JOURNAL OF ANALYSIS, 2016,
[2]  
Ademola AT, 2015, Differential Equations and Control Processes, V3, P38
[3]  
Adeyanju A.A., 2023, Ann. Univ. Ferrara, V69, P81, DOI [10.1007/s11565-022-00402-z, DOI 10.1007/S11565-022-00402-Z]
[4]   ON STABILITY AND BOUNDEDNESS PROPERTIES OF SOLUTIONS OF CERTAIN SECOND ORDER NON-AUTONOMOUS NONLINEAR ORDINARY DIFFERENTIAL EQUATION [J].
Alaba, J. G. ;
Ogundare, B. S. .
KRAGUJEVAC JOURNAL OF MATHEMATICS, 2015, 39 (02) :255-266
[5]   Numeric-Analytic Solutions for Nonlinear Oscillators via the Modified Multi-Stage Decomposition Method [J].
Az-Zo'bi, Emad A. ;
Al-Khaled, Kamel ;
Darweesh, Amer .
MATHEMATICS, 2019, 7 (06)
[6]  
Barinova T, 2014, MEM DIFFER EQU MATH, V63, P79
[7]  
Bellman R., 1997, Classics in Applied Mathematics, V19, DOI [10.1137/1.9781611971170, DOI 10.1137/1.9781611971170]
[8]  
Berezansky L, 2009, Functional Differential Equations, V16, P169
[9]  
Chicone C., 2006, Texts Appl. Math., V34, DOI DOI 10.1007/0-387-35794-7
[10]   On the Stability of the Zero Solution of a Differential Equation of the Second Order in a Critical Case [J].
Dorodenkov, A. A. .
VESTNIK ST PETERSBURG UNIVERSITY-MATHEMATICS, 2021, 54 (04) :345-350
12345