Floquet theory and stability of periodic solutions of renewal equations

DOI10.1007/s10884-020-09826-7zbMath1473.45017OpenAlexW3001465095WikidataQ126289705 ScholiaQ126289705MaRDI QIDQ2025670

Davide Liessi, Dimitri Breda

Publication date: 14 May 2021

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10884-020-09826-7

zbMATH Keywords

periodic solutionsPoincaré mapsFloquet theorydelay equationsrenewal equationsprinciple of linearized stabilitysun-star calculusphysiologically structured populationsVolterra functional and integral equations

Mathematics Subject Classification ID

Periodic solutions of integral equations (45M15) Population dynamics (general) (92D25) Stability theory for integral equations (45M10) Abstract integral equations, integral equations in abstract spaces (45N05)

Related Items

Piecewise discretization of monodromy operators of delay equations on adapted meshes, Piecewise orthogonal collocation for computing periodic solutions of renewal equations, Pseudospectral methods for the stability analysis of delay equations. I: The infinitesimal generator approach, Pseudospectral methods for the stability analysis of delay equations. II: The solution operator approach

Uses Software

• Matlab
• DDE-BIFTOOL

Cites Work

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