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arXiv · 2001.11288

Autonomous linear neutral equations with bounded Borel functions as initial data

Hans-Otto Walther
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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.

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Hans-Otto Walther. 2020-01-30. Autonomous linear neutral equations with bounded Borel functions as initial data. https://arxiv.org/abs/2001.11288

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