A note on Gronwall type inequality for interval-valued functions

Heriberto Román-Flores; Yurilev Chalco-Cano; G. N. Silva

doi:10.1109/IFSA-NAFIPS.2013.6608616

A note on Gronwall type inequality for interval-valued functions

Heriberto Román-Flores
, Yurilev Chalco-Cano
, G. N. Silva

Department of Mathematics

Universidad de Tarapacá
Universidade Estadual Paulista Júlio de Mesquita Filho

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

55 Scopus citations

Abstract

In this paper, by using the concept of gH-differentiability and Kulisch-Miranker order on intervals, we show a differential Gronwall type lemma for inteval-valued functions defined on a real compact interval T.

Original language	English
Title of host publication	Proceedings of the 2013 Joint IFSA World Congress and NAFIPS Annual Meeting, IFSA/NAFIPS 2013
Pages	1455-1458
Number of pages	4
DOIs	https://doi.org/10.1109/IFSA-NAFIPS.2013.6608616
State	Published - 2013
Event	9th Joint World Congress on Fuzzy Systems and NAFIPS Annual Meeting, IFSA/NAFIPS 2013 - Edmonton, AB, Canada Duration: 24 Jun 2013 → 28 Jun 2013

Publication series

Name	Proceedings of the 2013 Joint IFSA World Congress and NAFIPS Annual Meeting, IFSA/NAFIPS 2013

Conference

Conference	9th Joint World Congress on Fuzzy Systems and NAFIPS Annual Meeting, IFSA/NAFIPS 2013
Country/Territory	Canada
City	Edmonton, AB
Period	24/06/13 → 28/06/13

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10.1109/IFSA-NAFIPS.2013.6608616

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Román-Flores, H., Chalco-Cano, Y., & Silva, G. N. (2013). A note on Gronwall type inequality for interval-valued functions. In Proceedings of the 2013 Joint IFSA World Congress and NAFIPS Annual Meeting, IFSA/NAFIPS 2013 (pp. 1455-1458). Article 6608616 (Proceedings of the 2013 Joint IFSA World Congress and NAFIPS Annual Meeting, IFSA/NAFIPS 2013). https://doi.org/10.1109/IFSA-NAFIPS.2013.6608616

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title = "A note on Gronwall type inequality for interval-valued functions",

abstract = "In this paper, by using the concept of gH-differentiability and Kulisch-Miranker order on intervals, we show a differential Gronwall type lemma for inteval-valued functions defined on a real compact interval T.",

author = "Heriberto Rom{\'a}n-Flores and Yurilev Chalco-Cano and Silva, \{G. N.\}",

year = "2013",

doi = "10.1109/IFSA-NAFIPS.2013.6608616",

language = "English",

isbn = "9781479903474",

series = "Proceedings of the 2013 Joint IFSA World Congress and NAFIPS Annual Meeting, IFSA/NAFIPS 2013",

pages = "1455--1458",

booktitle = "Proceedings of the 2013 Joint IFSA World Congress and NAFIPS Annual Meeting, IFSA/NAFIPS 2013",

note = "9th Joint World Congress on Fuzzy Systems and NAFIPS Annual Meeting, IFSA/NAFIPS 2013 ; Conference date: 24-06-2013 Through 28-06-2013",

}

Román-Flores, H, Chalco-Cano, Y & Silva, GN 2013, A note on Gronwall type inequality for interval-valued functions. in Proceedings of the 2013 Joint IFSA World Congress and NAFIPS Annual Meeting, IFSA/NAFIPS 2013., 6608616, Proceedings of the 2013 Joint IFSA World Congress and NAFIPS Annual Meeting, IFSA/NAFIPS 2013, pp. 1455-1458, 9th Joint World Congress on Fuzzy Systems and NAFIPS Annual Meeting, IFSA/NAFIPS 2013, Edmonton, AB, Canada, 24/06/13. https://doi.org/10.1109/IFSA-NAFIPS.2013.6608616

A note on Gronwall type inequality for interval-valued functions. / Román-Flores, Heriberto; Chalco-Cano, Yurilev; Silva, G. N.
Proceedings of the 2013 Joint IFSA World Congress and NAFIPS Annual Meeting, IFSA/NAFIPS 2013. 2013. p. 1455-1458 6608616 (Proceedings of the 2013 Joint IFSA World Congress and NAFIPS Annual Meeting, IFSA/NAFIPS 2013).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AU - Chalco-Cano, Yurilev

AU - Silva, G. N.

PY - 2013

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N2 - In this paper, by using the concept of gH-differentiability and Kulisch-Miranker order on intervals, we show a differential Gronwall type lemma for inteval-valued functions defined on a real compact interval T.

AB - In this paper, by using the concept of gH-differentiability and Kulisch-Miranker order on intervals, we show a differential Gronwall type lemma for inteval-valued functions defined on a real compact interval T.

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DO - 10.1109/IFSA-NAFIPS.2013.6608616

M3 - Conference contribution

AN - SCOPUS:84886509152

SN - 9781479903474

T3 - Proceedings of the 2013 Joint IFSA World Congress and NAFIPS Annual Meeting, IFSA/NAFIPS 2013

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BT - Proceedings of the 2013 Joint IFSA World Congress and NAFIPS Annual Meeting, IFSA/NAFIPS 2013

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Y2 - 24 June 2013 through 28 June 2013

ER -

A note on Gronwall type inequality for interval-valued functions

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