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Generating Resonant and Repeated Root Solutions to Ordinary Differential Equations Using Perturbation Methods

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Publication:5075843
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DOI10.1137/21M1395922zbMath1495.34002WikidataQ115246867 ScholiaQ115246867MaRDI QIDQ5075843

Howard A. Stone, Bernardo Gouveia

Publication date: 12 May 2022

Published in: SIAM Review (Search for Journal in Brave)


zbMATH Keywords

ordinary differential equationsresonancerepeated roots


Mathematics Subject Classification ID

Theoretical approximation of solutions to ordinary differential equations (34A45) Explicit solutions, first integrals of ordinary differential equations (34A05) Perturbations, asymptotics of solutions to ordinary differential equations (34E10)


Related Items

Resonantly Forced ODEs and Repeated Roots ⋮ Unnamed Item


Uses Software

  • DLMF


Cites Work

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  • Generalization of resonant equations for the Laguerre- and Legendre-type polynomials to equations of the fourth order
  • Resonant equations with classical orthogonal polynomials. II
  • Dynamics of elastocapillary rise
  • The instability of an annular thread of fluid
  • Introduction to Quantum Mechanics
  • On the derivative of the Legendre function of the first kind with respect to its degree
  • Resonant equations and special functions
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