Existence of Countably Many Cycles in Hyperbolic Systems of Differential Equations with Transformed Argument


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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


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