Autonomous linear neutral equations with bounded Borel functions as initial data
Dynamical Systems
2020-01-31 v1
Abstract
For equations with the neutral term strictly delayed we construct the fundamental solution, derive a variation-of-constants formula for inhomogeneous equations, and prove growth estimates. Only unavoidable measure and integration theory, up to the Riesz Representation Theorem, is used. A key notion is pointwise convergence of bounded sequences of continuous functions.
Cite
@article{arxiv.2001.11288,
title = {Autonomous linear neutral equations with bounded Borel functions as initial data},
author = {Hans-Otto Walther},
journal= {arXiv preprint arXiv:2001.11288},
year = {2020}
}
Comments
44 pages