Almost automorphic delayed differential equations and Lasota-Wazewska model

2014/11/12 by Coronel, Aníbal, Maulén, Christopher, Pinto, Manuel +1 · 1 citation
#34G10 #43A60 #Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.1411.3267

Abstract

Existence of almost automorphic solutions for abstract delayed differential equations is established. Using ergodicity, exponential dichotomy and Bi-almost automorphicity on the homogeneous part, sufficient conditions for the existence and uniqueness of almost automorphic solutions are given.

Cited by

• Existence and uniqueness of Remotely Almost Periodic solutions of differential equations and applications

Related

• On almost automorphic type solutions of abstract Integral equations, a Bohr-Neugebauer type property and some applications
• Discontinuous Almost Automorphic Functions and Almost Automorphic Solutions of Differential Equations with Piecewise Constant Argument
• Existence Results for Some Nonautonomous Integro-differential Equations
• Compact almost automorphic dynamics of non-autonomous differential equations with exponential dichotomy and applications to biological models with delay
• Almost automorphic distributions