Functional differential inclusions generated by functional differential equations with discontinuities

DOI10.1016/j.na.2011.02.037zbMath1222.34073OpenAlexW1964375425MaRDI QIDQ540233

Irina Shlykova, Arcady Ponosov, Aleksander Bulgakov

Publication date: 1 June 2011

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2011.02.037

zbMATH Keywords

delaygene regulatory networksmultivalued operatorsFilippov's theory

Mathematics Subject Classification ID

Discontinuous ordinary differential equations (34A36) Functional-differential inclusions (34K09)

Cites Work

• Qualitative simulation of genetic regulatory networks using piecewise-linear models
• Singular perturbation analysis and gene regulatory networks with delay
• A methodological basis for description and analysis of systems with complex switch-like interactions
• Analysis and generic properties of gene regulatory networks with graded response functions
• A class of piecewise linear differential equations arising in biological models
• Global analysis of steady points for systems of differential equations with sigmoid interactions
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