<abstract xmlns="http://www.w3.org/1999/xhtml"><p> One-dimensional propagation phenomena of physics and technology are described by boundary value problems for hyperbolic partial differential equations in one space dimension. Since the paper of J. Bernoulli published in 1728, functional equations are usually associated with such problems, the best known in the last decades being the neutral differential equations with deviated arguments. The distortionless propagation corresponds to the case of the equations with pointwise (lumped) time delays. The present paper will consider some applications of these equations in nuclear and power engineering, engineering mechanics, hydraulics. The basic model validation steps (basic theory, invariant sets, inherent stability) are discussed.</p></abstract>

One-dimensional propagation phenomena of physics and technology are described by boundary value problems for hyperbolic partial differential equations in one space dimension. Since the paper of J. Bernoulli published in 1728, functional equations are usually associated with such problems, the best known in the last decades being the neutral differential equations with deviated arguments. The distortionless propagation corresponds to the case of the equations with pointwise (lumped) time delays. The present paper will consider some applications of these equations in nuclear and power engineering, engineering mechanics, hydraulics. The basic model validation steps (basic theory, invariant sets, inherent stability) are discussed.

Functional differential equations and one-dimensional distortionless propagation

Department of Automatic Control Faculty of Automation, Computers and Electronics University of Craiova A. I. Cuza Str. No. 13 RO–200585-Craiova ROMANIA

Tatra Mountains Mathematical Publications

{"article-title":"Functional differential equations and one-dimensional distortionless propagation"}

One-dimensional propagation phenomena of physics and technology are described by boundary value problems for hyperbolic partial differential equations in one...

Functional differential equations and one-dimensional distortionless propagation

Published Online: Nov 12, 2012

Page range: 215 - 228

DOI: https://doi.org/10.2478/v10127-009-0039-0

Keywords
hyperbolic partial differential equations, boundary value problems, neutral functional equations, lumped time delays

This content is open access.

Functional differential equations and one-dimensional distortionless propagation

Published Online: Nov 12, 2012

Page range: 215 - 228

DOI: https://doi.org/10.2478/v10127-009-0039-0

Keywordshyperbolic partial differential equations, boundary value problems, neutral functional equations, lumped time delays

This content is open access.

Keywords
hyperbolic partial differential equations, boundary value problems, neutral functional equations, lumped time delays