Hypercyclicity of solutions of a transport equation with delays

DOI10.1016/S0362-546X(96)00192-7zbMath0899.34046MaRDI QIDQ4379692

Janet Dyson, Rosanna Villella-Bressan, Glenn F. Webb

Publication date: 17 November 1998

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

delaylinear operatorshypercyclic semigroupsnonlinear transport equation

Mathematics Subject Classification ID

Functional-differential equations in abstract spaces (34K30) Groups and semigroups of linear operators (47D03) Functional-differential equations (including equations with delayed, advanced or state-dependent argument) (34K99)

Related Items (10)

Linear dynamics of semigroups generated by differential operators ⋮ Universal families and hypercyclic operators ⋮ The work of Glenn F. Webb ⋮ Blood Cell Dynamics: Half of a Century of Modelling ⋮ A nonlinear age and maturity structured model of population dynamics. II: Chaos ⋮ A nonlinear age and maturity structured model of population dynamics. I: Basic theory ⋮ Hypercyclic semigroups generated by Ornstein-Uhlenbeck operators ⋮ Chaotic backward shift operator on Chebyshev polynomials ⋮ CHAOS FOR BACKWARD SHIFT OPERATORS ⋮ On stability and hypercyclicity for cell population models

Cites Work

• Theory of functional differential equations. 2nd ed
• Autonomous nonlinear functional differential equations and nonlinear semigroups
• Global Existence and Boundedness of Solutions to a Model of Chemotaxis
• Stable and chaotic solutions of a first order partial differential equation
• Notes on chaos in the cell population partial differential equation
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