Publication detail

Existence of global solutions to nonlinear mixed-type functional differential equations

DIBLÍK, J. VÁŽANOVÁ, G.

Original Title

Existence of global solutions to nonlinear mixed-type functional differential equations

Type

journal article in Web of Science

Language

English

Original Abstract

The paper considers systems of nonlinear mixed-type functional differential equations. It aims to find conditions for the existence of global solutions with graphs staying in a prescribed domain. A relevant result is proved by Schauder–Tychonoff fixed-point technique with illustrative examples shown. A linear variant of the derived result is formulated, comparisons with known results are discussed and some open problems are formulated.

Keywords

Global solution; Mixed-type functional differential equation; Advance-delay functional differential equation; Schauder–Tychonoff fixed point theorem

Authors

DIBLÍK, J.; VÁŽANOVÁ, G.

Released

1. 6. 2020

Publisher

Elsevier

Location

PERGAMON-ELSEVIER SCIENCE LTD, THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND

ISBN

0362-546X

Periodical

Nonlinear Analysis, Theory, Methods and Applications

Year of study

195

Number

8

State

United Kingdom of Great Britain and Northern Ireland

Pages from

1

Pages to

22

Pages count

22

URL

https://www.sciencedirect.com/science/article/pii/S0362546X19303840?via%3Dihub

BibTex

@article{BUT163719,
  author="Josef {Diblík} and Gabriela {Vážanová}",
  title="Existence of global solutions to nonlinear mixed-type functional  differential equations",
  journal="Nonlinear Analysis, Theory, Methods and Applications",
  year="2020",
  volume="195",
  number="8",
  pages="1--22",
  doi="10.1016/j.na.2019.111731",
  issn="0362-546X",
  url="https://www.sciencedirect.com/science/article/pii/S0362546X19303840?via%3Dihub"
}