We study the dependence of the zeros of solutions of the Airy equation on two parameters introduced in the equation. The parameters characterize the general solution of the equation. A system of infinitely many nonlinear evolution differential equations is obtained, displaying interesting properties.

On the dynamics of the zeros of solutions of the Airy equation

Federico Zullo
2020-01-01

Abstract

We study the dependence of the zeros of solutions of the Airy equation on two parameters introduced in the equation. The parameters characterize the general solution of the equation. A system of infinitely many nonlinear evolution differential equations is obtained, displaying interesting properties.
2020
2019
Ateneo di appartenenza
PE1_12 Mathematical physics
PE1_10 ODE and dynamical systems
Esperti anonimi
Inglese
Internazionale
176
312
318
7
Airy equation, Zeros of entire functions, Value distribution, Dynamics of the zeros
https://www.sciencedirect.com/science/article/pii/S0378475419302174
no
Not applicable
1
info:eu-repo/semantics/article
262
Zullo, Federico
1 Contributo su Rivista::1.1 Articolo in rivista
open
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Descrizione: Mathematics and Computers in Simulation 176 (2020) 312–318
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Licenza: Creative commons
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11379/523447
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