Connection between continuous and discrete delay and Halanay type inequalities

I. Győri, László Horváth

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

The main results of the paper are complimenting, extending and improving several earlier results obtained for Halanay type discrete difference inequalities. The novel idea is that the discrete time results are derived from our recent related continuous time results by using suitable delay differential inequalities with piecewise constant arguments. The sharpness of the results are illustrated by examples.

Original languageEnglish
Title of host publicationAdvances in Difference Equations and Discrete Dynamical Systems - ICDEA
PublisherSpringer New York LLC
Pages91-111
Number of pages21
Volume212
ISBN (Print)9789811064081
DOIs
Publication statusPublished - Jan 1 2017
Event22nd International Conference on Difference Equations and Applications, ICDEA 2016 - Osaka, Japan
Duration: Jul 24 2016Jul 29 2016

Other

Other22nd International Conference on Difference Equations and Applications, ICDEA 2016
CountryJapan
CityOsaka
Period7/24/167/29/16

Fingerprint

Discrete Delay
Difference Inequalities
Piecewise Constant Argument
Sharpness
Differential Inequalities
Continuous Time
Discrete-time

Keywords

  • Asymptotic behavior of the solutions
  • Delay difference and differential inequalities
  • Piecewise constant arguments

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Győri, I., & Horváth, L. (2017). Connection between continuous and discrete delay and Halanay type inequalities. In Advances in Difference Equations and Discrete Dynamical Systems - ICDEA (Vol. 212, pp. 91-111). Springer New York LLC. https://doi.org/10.1007/978-981-10-6409-8_5

Connection between continuous and discrete delay and Halanay type inequalities. / Győri, I.; Horváth, László.

Advances in Difference Equations and Discrete Dynamical Systems - ICDEA. Vol. 212 Springer New York LLC, 2017. p. 91-111.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Győri, I & Horváth, L 2017, Connection between continuous and discrete delay and Halanay type inequalities. in Advances in Difference Equations and Discrete Dynamical Systems - ICDEA. vol. 212, Springer New York LLC, pp. 91-111, 22nd International Conference on Difference Equations and Applications, ICDEA 2016, Osaka, Japan, 7/24/16. https://doi.org/10.1007/978-981-10-6409-8_5
Győri I, Horváth L. Connection between continuous and discrete delay and Halanay type inequalities. In Advances in Difference Equations and Discrete Dynamical Systems - ICDEA. Vol. 212. Springer New York LLC. 2017. p. 91-111 https://doi.org/10.1007/978-981-10-6409-8_5
Győri, I. ; Horváth, László. / Connection between continuous and discrete delay and Halanay type inequalities. Advances in Difference Equations and Discrete Dynamical Systems - ICDEA. Vol. 212 Springer New York LLC, 2017. pp. 91-111
@inproceedings{76fe888c06ce4f13953e2a4de46ca1f4,
title = "Connection between continuous and discrete delay and Halanay type inequalities",
abstract = "The main results of the paper are complimenting, extending and improving several earlier results obtained for Halanay type discrete difference inequalities. The novel idea is that the discrete time results are derived from our recent related continuous time results by using suitable delay differential inequalities with piecewise constant arguments. The sharpness of the results are illustrated by examples.",
keywords = "Asymptotic behavior of the solutions, Delay difference and differential inequalities, Piecewise constant arguments",
author = "I. Győri and L{\'a}szl{\'o} Horv{\'a}th",
year = "2017",
month = "1",
day = "1",
doi = "10.1007/978-981-10-6409-8_5",
language = "English",
isbn = "9789811064081",
volume = "212",
pages = "91--111",
booktitle = "Advances in Difference Equations and Discrete Dynamical Systems - ICDEA",
publisher = "Springer New York LLC",

}

TY - GEN

T1 - Connection between continuous and discrete delay and Halanay type inequalities

AU - Győri, I.

AU - Horváth, László

PY - 2017/1/1

Y1 - 2017/1/1

N2 - The main results of the paper are complimenting, extending and improving several earlier results obtained for Halanay type discrete difference inequalities. The novel idea is that the discrete time results are derived from our recent related continuous time results by using suitable delay differential inequalities with piecewise constant arguments. The sharpness of the results are illustrated by examples.

AB - The main results of the paper are complimenting, extending and improving several earlier results obtained for Halanay type discrete difference inequalities. The novel idea is that the discrete time results are derived from our recent related continuous time results by using suitable delay differential inequalities with piecewise constant arguments. The sharpness of the results are illustrated by examples.

KW - Asymptotic behavior of the solutions

KW - Delay difference and differential inequalities

KW - Piecewise constant arguments

UR - http://www.scopus.com/inward/record.url?scp=85035078511&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85035078511&partnerID=8YFLogxK

U2 - 10.1007/978-981-10-6409-8_5

DO - 10.1007/978-981-10-6409-8_5

M3 - Conference contribution

AN - SCOPUS:85035078511

SN - 9789811064081

VL - 212

SP - 91

EP - 111

BT - Advances in Difference Equations and Discrete Dynamical Systems - ICDEA

PB - Springer New York LLC

ER -