Center Problem for Several Differential Equations via Cherkas' Method

Armengol Gasull; Joan Torregrosa

doi:https://doi.org/10.1006/jmaa.1998.6112

Center Problem for Several Differential Equations via Cherkas' Method

Armengol Gasull, Joan Torregrosa

Department of Mathematics

Research output: Contribution to journal › Article › Research › peer-review

39 Citations (Scopus)

Abstract

Cherkas' method characterizes centers for analytic Liénard differential equations. We extend his method to degenerate Liénard differential equations and we apply this extension to solve the center problem for several families of polynomial differential equations. In particular, we give all centers for some differential equations given by a vector field which is the sum of two quasi-homogeneous ones. © 1998 Academic Press.

Original language	English
Pages (from-to)	322-343
Journal	Journal of Mathematical Analysis and Applications
Volume	228
DOIs	https://doi.org/10.1006/jmaa.1998.6112
Publication status	Published - 15 Dec 1998

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title = "Center Problem for Several Differential Equations via Cherkas' Method",

abstract = "Cherkas' method characterizes centers for analytic Li{\'e}nard differential equations. We extend his method to degenerate Li{\'e}nard differential equations and we apply this extension to solve the center problem for several families of polynomial differential equations. In particular, we give all centers for some differential equations given by a vector field which is the sum of two quasi-homogeneous ones. {\textcopyright} 1998 Academic Press.",

author = "Armengol Gasull and Joan Torregrosa",

year = "1998",

month = dec,

day = "15",

doi = "https://doi.org/10.1006/jmaa.1998.6112",

language = "English",

volume = "228",

pages = "322--343",

journal = "Journal of Mathematical Analysis and Applications",

issn = "0022-247X",

publisher = "Academic Press Inc.",

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TY - JOUR

T1 - Center Problem for Several Differential Equations via Cherkas' Method

AU - Gasull, Armengol

AU - Torregrosa, Joan

PY - 1998/12/15

Y1 - 1998/12/15

N2 - Cherkas' method characterizes centers for analytic Liénard differential equations. We extend his method to degenerate Liénard differential equations and we apply this extension to solve the center problem for several families of polynomial differential equations. In particular, we give all centers for some differential equations given by a vector field which is the sum of two quasi-homogeneous ones. © 1998 Academic Press.

AB - Cherkas' method characterizes centers for analytic Liénard differential equations. We extend his method to degenerate Liénard differential equations and we apply this extension to solve the center problem for several families of polynomial differential equations. In particular, we give all centers for some differential equations given by a vector field which is the sum of two quasi-homogeneous ones. © 1998 Academic Press.

U2 - https://doi.org/10.1006/jmaa.1998.6112

DO - https://doi.org/10.1006/jmaa.1998.6112

M3 - Article

VL - 228

SP - 322

EP - 343

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

SN - 0022-247X

ER -