On a regularisation of a nonlinear differential equation related to the non-homogeneous Airy equation

Galina Filipuk; Thomas Kecker; Federico Zullo

doi:10.2478/9788366675360-008

On a regularisation of a nonlinear differential equation related to the non-homogeneous Airy equation

Galina Filipuk
, Thomas Kecker
, Federico Zullo

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

105 Downloads (Pure)

Abstract

In this paper we study a nonlinear differential equation related to a non-homogeneous Airy equation. The linear equation has two families of solutions. We apply a procedure of resolution of points of indeterminacy to a system of first order differential equations equivalent to the nonlinear equation and study how the corresponding families of solutions are transformed.

Original language	English
Title of host publication	Proceedings of the Conference Contemporary Mathematics in Kielce 2020, February 24-27 2021
Editors	Szymon Walczak
Publisher	Sciendo
Pages	99-106
Number of pages	8
ISBN (Electronic)	9788366675360
ISBN (Print)	9788366675360
DOIs	https://doi.org/10.2478/9788366675360-008
Publication status	Published - 31 Dec 2021
Event	Contemporary Mathematics in Kielce 2020 - Jan Kochanowski University, Kielce, Poland Duration: 24 Feb 2021 → 27 Feb 2021

Conference

Conference	Contemporary Mathematics in Kielce 2020
Country/Territory	Poland
City	Kielce
Period	24/02/21 → 27/02/21

Access to Document

10.2478/9788366675360-008

9788366675360-008Final published version, 292 KBLicence: CC BY-NC-ND

Cite this

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title = "On a regularisation of a nonlinear differential equation related to the non-homogeneous Airy equation",

abstract = "In this paper we study a nonlinear differential equation related to a non-homogeneous Airy equation. The linear equation has two families of solutions. We apply a procedure of resolution of points of indeterminacy to a system of first order differential equations equivalent to the nonlinear equation and study how the corresponding families of solutions are transformed.",

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editor = "Szymon Walczak",

booktitle = "Proceedings of the Conference Contemporary Mathematics in Kielce 2020, February 24-27 2021",

publisher = "Sciendo",

address = "Poland",

note = "Contemporary Mathematics in Kielce 2020 ; Conference date: 24-02-2021 Through 27-02-2021",

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Filipuk, G, Kecker, T & Zullo, F 2021, On a regularisation of a nonlinear differential equation related to the non-homogeneous Airy equation. in S Walczak (ed.), Proceedings of the Conference Contemporary Mathematics in Kielce 2020, February 24-27 2021. Sciendo, pp. 99-106, Contemporary Mathematics in Kielce 2020, Kielce, Poland, 24/02/21. https://doi.org/10.2478/9788366675360-008

On a regularisation of a nonlinear differential equation related to the non-homogeneous Airy equation. / Filipuk, Galina; Kecker, Thomas; Zullo, Federico.
Proceedings of the Conference Contemporary Mathematics in Kielce 2020, February 24-27 2021. ed. / Szymon Walczak. Sciendo, 2021. p. 99-106.

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

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AU - Filipuk, Galina

AU - Kecker, Thomas

AU - Zullo, Federico

PY - 2021/12/31

Y1 - 2021/12/31

N2 - In this paper we study a nonlinear differential equation related to a non-homogeneous Airy equation. The linear equation has two families of solutions. We apply a procedure of resolution of points of indeterminacy to a system of first order differential equations equivalent to the nonlinear equation and study how the corresponding families of solutions are transformed.

AB - In this paper we study a nonlinear differential equation related to a non-homogeneous Airy equation. The linear equation has two families of solutions. We apply a procedure of resolution of points of indeterminacy to a system of first order differential equations equivalent to the nonlinear equation and study how the corresponding families of solutions are transformed.

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DO - 10.2478/9788366675360-008

M3 - Conference contribution

SN - 9788366675360

SP - 99

EP - 106

BT - Proceedings of the Conference Contemporary Mathematics in Kielce 2020, February 24-27 2021

A2 - Walczak, Szymon

PB - Sciendo

T2 - Contemporary Mathematics in Kielce 2020

Y2 - 24 February 2021 through 27 February 2021

ER -

On a regularisation of a nonlinear differential equation related to the non-homogeneous Airy equation

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