Limit cycle's uniqueness for second order ODE's polynomial in (x) over dot

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:381

Article

Sabatini, M.

关键词: Uniqueness;    Limit cycle;    Second order ODEs;    Massera theorem;    Conti-Filippov transformation;   

DOI  :  10.1016/j.jmaa.2011.02.055

来源: Elsevier

【 摘 要 】

We prove a uniqueness result for limit cycles of the second order ODE x + Sigma(J)(j=1) f(j)(x)(x) over dot(j) + g(x) = 0. We extend a uniqueness result proved in Carletti. Rosati and Villari (2007) In The main tool applied is an extension of the Massera theorem proved in Guillamon and Sabatini (2007) [5]. (C) 2011 Elsevier Inc. All rights reserved.

【 授权许可】

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