Lyapunov Functions, Krasnosel'skii Canonical Domains, and the Existence of Poisson Bounded Solutions

被引：0

作者：

Lapin, K. S. ^{[1
]}

机构：

[1] Mordovia State Pedag Inst, Saransk 430007, Russia

来源：

MATHEMATICAL NOTES | 2020年 / 108卷 / 5-6期

关键词：

Poisson bounded solution; partially bounded solution; existence of solutions; Lyapunov function; Krasnosel’ skii canonical domain; DIFFERENTIAL-EQUATIONS; ULTIMATE BOUNDEDNESS; UNIFORM BOUNDEDNESS; SYSTEMS; STABILITY; SENSE; VARIABLES; RESPECT; PART;

D O I：

10.1134/S0001434620110097

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The notions of Poisson boundedness and Poisson partial boundedness of solutions of systems are introduced. Based on the Lyapunov function method and Krasnosel'skii's method of canonical domains, a sufficient condition for the existence of Poisson bounded solutions is obtained.

引用

页码：716 / 720

页数：5

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