Polynomial differential equations with piecwise linear coefficients

Details Polynomial differential equations with piecwise linear coefficients Polynomial differential equations with piecwise linear coefficients

2010-09-30

arxiv.org/abs/1009.6019v1

Mathematics

Classical Analysis and ODEs

Scientific paper

Cubic and quartic non-autonomous differential equations with continuous
piecewise linear coefficients are considered. The main concern is to find the
maximum possible multiplicity of periodic solutions. For many classes, we show
that the mutiplicity is the same when the coefficients are polynomial functions
of degree n or piecewise linear functions with n segments.

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