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    STUDIA MATHEMATICA - Issue no. 1 / 2021  
         
  Article:   ON THE EXISTENCE OF A PERIODIC SOLUTION OF THE LIÉNARD SYSTEM.

Authors:  ALEXANDER IGNATYEV.
 
       
         
  Abstract:  
DOI: 10.24193/subbmath.2021.1.04

Published Online: 2021-03-20
Published Print: 2021-03-30
pp. 47-53

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ABSTRACT.
The Liénard system $frac{dx}{dt}=y,quad frac{dy}{dt}=-f(x)y-g(x)$ is considered.
Under some assumptions on functions $f(x)$ and $g(x)$, we estimate the domain of location of the unique stable limit cycle of the Liénard system.
This estimation has the form $alpha_2Mathematics Subject Classification (2010): 34C05, 34C07, 34C25, 34C15, 34A26.
Keywords: Liénard system, a periodic solution.
 
         
     
         
         
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