Characterising small solutions in delay differential equations through numerical approximations

DOI10.1016/S0096-3003(01)00144-8zbMath1030.34059OpenAlexW2080921136MaRDI QIDQ1855786

Sjoerd M. Verduyn Lunel, Neville J. Ford

Publication date: 28 January 2003

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0096-3003(01)00144-8

zbMATH Keywords

finite-dimensional approximationsspectrumsmall solutions

Mathematics Subject Classification ID

Related Items (3)

Analytical and numerical treatment of oscillatory mixed differential equations with differentiable delays and advances ⋮ Numerical treatment of oscillatory functional differential equations ⋮ An algorithm to detect small solutions in linear delay differential equations

Cites Work

• The discrete Lyapunov function for scalar differential delay equations
• Series expansions and small solutions for Volterra equations of convolution type
• A sharp version of Henry's theorem on small solutions
• Introduction to functional differential equations
• Numerical bifurcation analysis of delay differential equations
• Series expansions for functional differential equations
• Delay equations. Functional-, complex-, and nonlinear analysis
• About completeness for a class of unbounded operators
• Small solutions of linear autonomous functional differential equations
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