Publication detail

Some remarks on functional differential equations in abstract spaces

ŠREMR, J.

English title

Some remarks on functional differential equations in abstract spaces

Type

journal article in Web of Science

Language

en

Original abstract

The aim of this paper is to present some remarks concerning a functional differential equation in a Banach space. It is proved, in particular, that both initial value problems (Darboux and Cauchy) for the hyperbolic functional differential equation with a Carathéodory right-hand side on the rectangle can be rewritten as certain initial value problems for abstract functional differential equation.

English abstract

The aim of this paper is to present some remarks concerning a functional differential equation in a Banach space. It is proved, in particular, that both initial value problems (Darboux and Cauchy) for the hyperbolic functional differential equation with a Carathéodory right-hand side on the rectangle can be rewritten as certain initial value problems for abstract functional differential equation.

Keywords in English

Functional differential equation in a Banach space;hyperbolic functional differential equation;initial value problem

Released

08.12.2017

ISSN

1512-0015

Volume

2017

Number

72

Pages from–to

103–118

Pages count

16

BIBTEX


@article{BUT142310,
  author="Jiří {Šremr},
  title="Some remarks on functional differential equations in abstract spaces",
  year="2017",
  volume="2017",
  number="72",
  month="December",
  pages="103--118",
  issn="1512-0015"
}