Vector Lyapunov Functions and Ultimate Poisson Boundedness of Solutions of Systems of Differential Equations

被引:0
作者
K. S. Lapin
机构
[1] Evsev’ev Mordovian State Pedagogical University,
来源
Mathematical Notes | 2018年 / 104卷
关键词
boundedness of solutions; Poisson boundedness of solutions; vector Lyapunov function; partial boundedness of solutions; partially controlled initial conditions;
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学科分类号
摘要
Various forms of uniform-ultimate Poisson boundedness of solutions and of ultimate Poisson equiboundedness of solutions are introduced. Sufficient conditions for various forms of uniform-ultimate Poisson boundedness and of ultimate Poisson equiboundedness of solutions are obtained by using the method of vector Lyapunov functions.
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页码:63 / 73
页数:10
相关论文
共 10 条
[1]  
Yoshizawa T.(1959)Liapunov’s function and boundedness of solutions Funkcial. Ekvac. 2 95-142
[2]  
Lapin K. S.(2013)Ultimate boundedness with respect to part of the variables of solutions of systems of differential equations with partially controlled initial conditions Differ. Uravn. 49 1281-1286
[3]  
Lapin K. S.(2014)Partial uniform boundedness of solutions of systems of differential equations with partially controlled initial conditions Differ. Uravn. 50 309-316
[4]  
Lapin K. S.(2014)Uniform boundedness in part of the variables of solutions to systems of differential equations with partially controllable initial conditions Mat. Zametki 96 393-404
[5]  
Lapin K. S.(2016)Lyapunov vector functions and partial boundedness of solutions with partially controlled initial conditions Differ.Uravn. 52 572-578
[6]  
Lapin K. S.(2016)Partial total boundedness of solutions to systems of differential equations with partially controlled initial conditions Mat. Zametki 99 239-247
[7]  
Vorotnikov V. I.(2010)On partial stability theory of nonlinear dynamic systems Izv. Ross. Akad. Nauk, Teor. Sist. Upravl. 5 23-31
[8]  
Martyshenko Yu. G.(2014)Stability in part of the variables of "partial" equilibria of systems with aftereffect Mat. Zametki 96 496-503
[9]  
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