Uniform-Ultimate Poisson Boundedness of Solutions of P-Perturbed Systems of Differential Equations

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Date

2020

Journal Title

Journal ISSN

Volume Title

Publisher

Univ Miskolc inst Math

Abstract

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.

Description

Lapin, Kirill/0000-0002-8367-4494

Keywords

P-Perturbed Systems, Differential Equations, Uniform-Ultimate Poisson Boundedness, Lyapunov Function

Turkish CoHE Thesis Center URL

WoS Q

Q2

Scopus Q

Q3

Source

Volume

21

Issue

2

Start Page

959

End Page

967