Existence of countably many cycles in hyperbolic systems of differential equations with transformed argument

DOI10.1007/s10958-016-2842-xzbMath1343.35157OpenAlexW2343622898MaRDI QIDQ726455

I. I. Klevchuk

Publication date: 11 July 2016

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-016-2842-x

zbMATH Keywords

periodic boundary conditionstime-periodic solutions

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) KdV equations (Korteweg-de Vries equations) (35Q53) Periodic solutions to PDEs (35B10) First-order nonlinear hyperbolic equations (35L60) Initial-boundary value problems for first-order hyperbolic systems (35L50)

Related Items (1)

Bifurcation of self-excited vibrations for parabolic systems with retarded argument and weak diffusion

Cites Work

• Dynamics of periodic modes for the phenomenological equation of Spin combustion
• Bifurcation of singular points of differential-functional equations
• Theory of functional differential equations. 2nd ed
• Averaging methods for differential equations with retarded arguments and a small parameter
• Existence of countably many stable cycles in media with dispersion
• Integral sets and the reduction principle for differential-functional equations
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