Functional differential equations of pointwise type: bifurcation

DOI10.1134/S0965542520080047zbMath1471.34127OpenAlexW3092129355MaRDI QIDQ2206362

Yanyan Li

Publication date: 22 October 2020

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542520080047

zbMATH Keywords

initial-boundary value problemfunctional differential equationgrowth properties, characteristic equation, bifurcation

Mathematics Subject Classification ID

Linear functional-differential equations (34K06) Growth, boundedness, comparison of solutions to functional-differential equations (34K12) General theory of functional-differential equations (34K05) Bifurcation theory of functional-differential equations (34K18)

Cites Work

• Equations of advanced-retarded type and solutions of traveling-wave type for infinite-dimensional dynamical systems
• Theory of nonlinear lattices.
• Solvability problems for a linear homogeneous functional-differential equation of the pointwise type
• Functional differential equations. Transl. from the Russian
• The linear theory of functional differential equations: existence theorems and the problem of pointwise completeness of the solutions
• Infinite-dimensional non-linear ordinary differential equations and the KAM theory
• Group singularities of differential equations with deviating arguments and metric invariants related to them.
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