Existence of Countably Many Cycles in Hyperbolic Systems of Differential Equations with Transformed Argument
- Authors: Klevchuk I.I.1
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Affiliations:
- Fed’kovych Chernivtsi National University
- Issue: Vol 215, No 3 (2016)
- Pages: 341-349
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/237594
- DOI: https://doi.org/10.1007/s10958-016-2842-x
- ID: 237594
Cite item
Abstract
We prove the existence of countably many periodic solutions of a hyperbolic system of first-order differential equations with periodic condition. The problems of existence and stability of traveling waves are investigated for a quasilinear Korteweg–de Vries equation with transformed argument and for the equation of spin combustion.
About the authors
I. I. Klevchuk
Fed’kovych Chernivtsi National University
Author for correspondence.
Email: klevchuk@yandex.ru
Ukraine, Kotsyubyns’kyi Str., 2, Chernivtsi, 58012