Center Problem for Several Differential Equations via Cherkas' Method

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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 languageEnglish
Pages (from-to)322-343
JournalJournal of Mathematical Analysis and Applications
Volume228
DOIs
Publication statusPublished - 15 Dec 1998

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