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Characteristic frequencies of zeros of a sum of two harmonic oscillations

Characteristic frequencies of zeros of a sum of two harmonic oscillations We completely describe the characteristic frequencies of zeros of a sum of two harmonic oscillations with distinct frequencies and partly describe the characteristic frequencies of zeros of sums of arbitrarily many oscillations. As a corollary, we show that the set of characteristic frequencies of zeros of a linear equation can be infinite and moreover have continuum measure even in the case of an equation with constant coefficients. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Differential Equations Springer Journals

Characteristic frequencies of zeros of a sum of two harmonic oscillations

Goritskii, A.; Fisenko, T.
Differential Equations , Volume 48 (4) – May 28, 2012
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References (3)

Publisher
Springer Journals
Copyright
Copyright © 2012 by Pleiades Publishing, Ltd.
Subject
Mathematics; Partial Differential Equations; Difference and Functional Equations; Ordinary Differential Equations
ISSN
0012-2661
eISSN
1608-3083
DOI
10.1134/S0012266112040039
Publisher site
See Article on Publisher Site

Abstract

We completely describe the characteristic frequencies of zeros of a sum of two harmonic oscillations with distinct frequencies and partly describe the characteristic frequencies of zeros of sums of arbitrarily many oscillations. As a corollary, we show that the set of characteristic frequencies of zeros of a linear equation can be infinite and moreover have continuum measure even in the case of an equation with constant coefficients.

Journal

Differential Equations – Springer Journals

Published: May 28, 2012

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