Semigroups on Frechet spaces and equations with infinite delays

2007/07/14 by T Sengadir, Sengadir, T
Mathematics · #Dynamical Systems (math.DS) #FOS: Mathematics #math.DS

paper · pdf · doi:10.48550/arxiv.0707.2134

14 pages

arxiv created 2007/07/14 · arxiv updated 2009/12/01

Abstract

In this paper, we show existence and uniqueness of a solution to a functional differential equation with infinite delay. We choose an appropriate Frechet space so as to cover a large class of functions to be used as initial functions to obtain existence and uniqueness of solutions.

Related

• Functional differential equation with infinite delay in a space of exponentially bounded and uniformly continuous functions
• Fréchet differentiability in Fréchet spaces, and differential equations with unbounded variable delay
• Asymptotic periodic solutions of differential equations with infinite delay
• Existence and uniqueness of functional differential equations with n delay
• Delay differential equations with differentiable solution operators on open domains in C((-∞,0],ℝⁿ), and processes for Volterra integro-differential equations