Analyticity of Bounded Solutions of Analytic State-Dependent Delay Differential Equations

2017/08/27 by Qingwen Hu, Hu, Qingwen
Mathematics · #Dynamical Systems (math.DS) #FOS: Mathematics #Nonlinear Differential Equations Analysis #Numerical methods for differential equations #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.1708.08024

openalex publication_date 2017/08/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the analyticity of bounded solutions of systems of analytic state-dependent delay differential equations. We obtain the analyticity of solutions by transforming the system of state-dependent delay equations into an abstract ordinary differential equation in a subspace of the sequence space l^∞(ℝ^N+1) and prove the existence of complex extension of the bounded solutions. An example is given to illustrate the general results.

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