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The Barbashin-Ezeilo Problem

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Frequency Methods in Oscillation Theory

Part of the book series: Mathematics and Its Applications ((MAIA,volume 357))

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Abstract

The present chapter is devoted to the study of the existence of cycles of the first and second kind of the third-order equation

$$\dddot \sigma + \alpha \ddot \sigma + \beta \dot \sigma + \varphi \left( \sigma \right) = 0$$
(0.1)

and its various multidimensional analogue. Hera α and β are positive numbers, and φ(σ) is a Δ—periodic function.

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Authors and Affiliations

  1. Department of Mathematics and Mechanics, St Petersburg University, St Petersburg, Russia

    G. A. Leonov & A. I. Shepeljavyi

  2. Tula Technical University, Tula, Russia

    I. M. Burkin

Authors
  1. G. A. Leonov
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  2. I. M. Burkin
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  3. A. I. Shepeljavyi
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© 1996 Kluwer Academic Publishers

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Leonov, G.A., Burkin, I.M., Shepeljavyi, A.I. (1996). The Barbashin-Ezeilo Problem. In: Frequency Methods in Oscillation Theory. Mathematics and Its Applications, vol 357. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-0193-3_6

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  • DOI: https://doi.org/10.1007/978-94-009-0193-3_6

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-6570-2

  • Online ISBN: 978-94-009-0193-3

  • eBook Packages: Springer Book Archive

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