Solutions of the neutral differential-difference equation \(\alpha{}x'(t) + \beta{}x'(t-r) + \gamma{}x(t) + \delta{}x(t-r) = f(t)\)
type: Item
instance of: scholarly article
title: Solutions of the neutral differential-difference equation \(\alpha{}x'(t) + \beta{}x'(t-r) + \gamma{}x(t) + \delta{}x(t-r) = f(t)\)
zbMATH Open document ID: 0765.34048
DOI: 10.1155/S0161171292001005
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 1993-04-01T00:00:00Z
full work available at URL: https://eudml.org/doc/46808
review text: The author studies the particular solutions and complementary functions for the neutral differential-difference equation \(\alpha x'(t)+\beta x'(t-r)+\gamma x(t)+\delta x(t-r)=f(t)\), where \(\alpha,\beta,\gamma,\delta\in\mathbb{R}\) with \(\alpha,\beta\neq 0\). The solutions defined on the whole real axis are obtained in the forms of a convolution type integral and of infinite series.
Mathematics Subject Classification ID: 34K05
Mathematics Subject Classification ID: 34K40
zbMATH DE Number: 147585
zbMATH Keywords: neutral differential-difference equation
zbMATH Keywords: convolution type integral
zbMATH Keywords: infinite series
author: Ll. G. Chambers
reviewed by: Teodor-Dumitru Havarneanu
MaRDI profile type: Publication
Wikidata QID: Q115243295
OpenAlex ID: W2211799211
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description: scientific article; zbMATH DE number 147585