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n-fold Fourier series expansion in root functions of a differential pencil with n-fold multiple characteristic

n-fold Fourier series expansion in root functions of a differential pencil with n-fold multiple... On a finite interval, we consider a parametric differential pencil of the singular irregular type with an n-fold multiple characteristic and with boundary conditions all of which except for the last are posed at the left end of the interval. We solve the problem on the n-fold expansion of n arbitrary functions in series in Keldysh derived chains of eigenfunctions and associated functions (root functions) of the pencil. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Differential Equations Springer Journals

n-fold Fourier series expansion in root functions of a differential pencil with n-fold multiple characteristic

Differential Equations , Volume 52 (5) – Jun 16, 2016

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References (19)

Publisher
Springer Journals
Copyright
Copyright © 2016 by Pleiades Publishing, Ltd.
Subject
Mathematics; Ordinary Differential Equations; Partial Differential Equations; Difference and Functional Equations
ISSN
0012-2661
eISSN
1608-3083
DOI
10.1134/S0012266116050013
Publisher site
See Article on Publisher Site

Abstract

On a finite interval, we consider a parametric differential pencil of the singular irregular type with an n-fold multiple characteristic and with boundary conditions all of which except for the last are posed at the left end of the interval. We solve the problem on the n-fold expansion of n arbitrary functions in series in Keldysh derived chains of eigenfunctions and associated functions (root functions) of the pencil.

Journal

Differential EquationsSpringer Journals

Published: Jun 16, 2016

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