A theorem on equiconvergence for differential operators of higher order with a singularity
type: Item
instance of: scholarly article
title: A theorem on equiconvergence for differential operators of higher order with a singularity
zbMATH Open document ID: 0931.34061
author: P. M. Kudishin
published in: Russian Mathematics
publication date: 1999-11-02T00:00:00Z
review text: The author considers nonselfconjugated boundary value problems \({\mathcal L}\) of the following form: \[ ly=\lambda y,\quad 0< x< T,\quad l\in V,\quad y(x)= O(x^{\mu_{m+1}}),\quad x\to 0, \] \[ V_j(y)\equiv y^{(\tau_j)}(T)+ \sum^{\tau_j- 1}_{k= 0} v_{jk} y^{(k)}(T)= 0,\quad j= 1,\dots, m,\quad 0\leq \tau_j\leq n-1,\quad \tau_j\neq\tau_s\quad (j\neq s). \] He obtains a theorem on the equiconvergence of the expansion of solutions into Fourier series with respect to eigen- and adjoint functions for the boundary value problems inside a finite interval \((0,T)\).
Mathematics Subject Classification ID: 34L10
zbMATH DE Number: 1309952
zbMATH Keywords: solutions
zbMATH Keywords: nonselfconjugated boundary value problems
zbMATH Keywords: equiconvergence
zbMATH Keywords: expansion
zbMATH Keywords: Fourier series
zbMATH Keywords: eigen- and adjoint functions
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1309952