On analytic periodic solutions to nonlinear differential equations with delay (advance)

DOI10.3103/S1066369X18100043OpenAlexW2893089357MaRDI QIDQ1755894

Alexander Arkad'evich Kosov, Edward Ivanovich Semenov

Publication date: 11 January 2019

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x18100043

zbMATH Keywords

exact solutionperiodic solutionreaction-diffusion systemfirst integralJacobi elliptic functiondifferential equation with delay (advance)reduction to ODE system

Mathematics Subject Classification ID

Dynamical systems and ergodic theory (37-XX) Partial differential equations (35-XX)

Cites Work

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• Nonlinear reaction-diffusion systems with variable diffusivities: Lie symmetries, ansätze and exact solutions
• On the solvability of a class of analytic functions for certain linear systems of functional differential equations in a neighborhood of a regular singular point
• The numerical experiment in the study of polynomial quasisolutions of linear differential-difference equations
• Holomorphic solutions to functional differential equations
• Analytical solutions of Cauchy problem for certain linear systems of functional-differential equations of neutral type

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