Approximation of eigenvalues of evolution operators for linear coupled renewal and retarded functional differential equations

DOI10.1007/s11587-020-00513-9zbMath1468.34093OpenAlexW3022510165MaRDI QIDQ829229

Davide Liessi, Dimitri Breda

Publication date: 5 May 2021

Published in: Ricerche di Matematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11587-020-00513-9

zbMATH Keywords

stabilityperiodic solutionsequilibriaevolution operatorsretarded functional differential equationseigenvalue approximationrenewal equationspseudospectral collocation

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Population dynamics (general) (92D25) Stability theory of functional-differential equations (34K20) Periodic solutions to functional-differential equations (34K13) Numerical investigation of stability of solutions to ordinary differential equations (65L07) Groups and semigroups of linear operators, their generalizations and applications (47D99) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15) Numerical methods for functional-differential equations (65L03) Stationary solutions of functional-differential equations (34K21) Spectral theory of functional-differential operators (34K08)

Related Items

Piecewise discretization of monodromy operators of delay equations on adapted meshes, Pseudospectral methods for the stability analysis of delay equations. II: The solution operator approach

Uses Software

• Matlab

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