UNIFORM-ULTIMATE POISSON BOUNDEDNESS OF SOLUTIONS OF P-PERTURBED SYSTEMS OF DIFFERENTIAL EQUATIONS

被引：2

作者：

Lapin, Kirill S. ^{[1
]}

Tunc, Cemil ^{[2
]}

机构：

[1] Mordovian State Pedag Inst, Fac Math & Phys, Dept Informat & Comp Engn, 11 A Studencheskaya St, Saransk 430010, Russia

[2] Van Yuzuncu Yil Univ, Fac Sci, Dept Math, 65080 Campus, Van, Turkey

来源：

MISKOLC MATHEMATICAL NOTES | 2020年 / 21卷 / 02期

关键词：

P-perturbed systems; differential equations; uniform-ultimate Poisson boundedness; Lyapunov function; SENSE;

D O I：

10.18514/MMN.2020.3302

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The concept of P-perturbed systems with respect to given system of ordinary differential equations is introduced. Certain sufficient conditions for uniform-ultimate Poisson boundedness of solutions of P-perturbed systems are obtained by using the method of Lyapunov functions. In conclusion, an interesting application of the above sufficient conditions to the standard closed electric RLC circuit with nonlinear elements is given.

引用

页码：959 / 967

页数：9

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