On the periodic solutions of a particular Lamé equation
type: Item
instance of: scholarly article
title: On the periodic solutions of a particular Lamé equation
zbMATH Open document ID: 0754.34017
DOI: 10.1007/BF00048454
author: Makhlouf Amar
published in: Celestial Mechanics and Dynamical Astronomy
publication date: 1992-09-27T00:00:00Z
review text: The author considers different special second order linear differential equations ( Lamé, Hill, Ince equation), transforms one to other, presents results concerning Ince equation: expression of solutions in a neighbourhood of the poles in the complex field, periodic solutions, theory of existence; development into Fourier series of solutions of Hill's equations, and compares the results obtained by different techniques.
Mathematics Subject Classification ID: 34B30
Mathematics Subject Classification ID: 34C25
Mathematics Subject Classification ID: 34A30
Mathematics Subject Classification ID: 34M99
Mathematics Subject Classification ID: 34A25
zbMATH DE Number: 60691
zbMATH Keywords: special second order linear differential equations
zbMATH Keywords: Lamé, Hill, Ince equation
zbMATH Keywords: periodic solutions
zbMATH Keywords: existence
zbMATH Keywords: development into Fourier series
reviewed by: Péter F. Moson
MaRDI profile type: Publication
cites work: Q3518180
cites work: On a family of Hill's equations in the complex field
description: scientific article; zbMATH DE number 60691