Existence and control of weighted pseudo almost periodic solutions for abstract nonlinear vibration systems-Reference-Cited by-同舟云学术

Existence and control of weighted pseudo almost periodic solutions for abstract nonlinear vibration systems

Published:2018-12-18 Issue:2 Volume:38 Page:765-773
ISSN:1461-3484
Container-title:Journal of Low Frequency Noise, Vibration and Active Control
language:en
Short-container-title:Journal of Low Frequency Noise, Vibration and Active Control

Author:

Guo Yingxin¹^ORCID,Wang Fei¹,Xin Luyao¹

Affiliation:

1. School of Mathematical Sciences, Qufu Normal University, China

Abstract

In many vibration problems, it is very important to know precisely the bounds of the stability/instability frequencies and the associated amplitude ranges. This paper investigates the solvability and control of some weighted pseudo almost periodic solutions of abstract nonlinear vibration differential systems. Some sufficient conditions for the solvability and exponential stability of these systems are obtained. Moreover, the precise bound of Lyapunov exponents is estimated.

Funder

Natural Science Foundation of Shandong Province

Publisher

SAGE Publications

Subject

Mechanical Engineering,Geophysics,Mechanics of Materials,Acoustics and Ultrasonics,Building and Construction,Civil and Structural Engineering

Link

http://journals.sagepub.com/doi/pdf/10.1177/1461348418817989

Reference25 articles.

1. Overview of Mechanics of Pipes Conveying Fluids—Part I: Fundamental Studies

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