Results 261 to 270 of about 328,940 (311)

Regular Ordinary Differential Operators with Involution

Mathematical Notes, 2019
The paper under review deals with the operators defined on a finite closed interval by differential expressions of the form \[L(y)=JP(y)+Q(y), \quad y=y(x), \quad x\in[-1,1],\] where \[P(y)=y^{(n)}(x)+\sum_{k=1}^{n} p_k (x)y^{(n-k)},\;\; Q(y)=y^{(m)}(x)+\sum_{k=1}^{m} q_k (x)y^{(m-k)};\] \(J\) is the involution operator \(Jy(x)=y(-x)\) and the ...
V. E. Vladykina, A. Shkalikov
semanticscholar   +2 more sources

Spectral Properties of Ordinary Differential Operators with Involution

Doklady Mathematics, 2019
Let P and Q be ordinary differential operators of order n and m generated by s = max{n; m} boundary conditions on a nite interval [a; b]. We study operators of the form L = JP + Q, where J is the involution operator in the space L2[a; b]. We consider three cases n > m, n < m, and n = m, for which we dene concepts of regular, almost regular, and ...
V. E. Vladykina, A. Shkalikov
semanticscholar   +3 more sources

Self-adjoint commuting ordinary differential operators

Inventiones mathematicae, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
A. Mironov
semanticscholar   +3 more sources

Computing Almost-Commuting Basis of Ordinary Differential Operators

ACM Communications in Computer Algebra, 2023
An effective computation of a basis of a nontrivial centralizer of a differential operator is the first step towards a Picard-Vessiot theory for spectral problems of ordinary differential operators. The set of almost-commuting operators enjoys a richer structure that allows the computation of these centralizers. We present a method to calculate a basis
Jiménez-Pastor, Antonio; id_orcid 0000-0002-6096-0623, Rueda, Sonia L., Zurro, Maria Angeles   +2 more
openaire   +4 more sources

Ordinary Differential Operators

Mathematical Surveys and Monographs, 2019
Aiping Wang, A. Zettl
semanticscholar   +2 more sources

An algorithm for construction of commuting ordinary differential operators by geometric data

Lobachevskii Journal of Mathematics, 2017
D. A. Pogorelov, A. Zheglov
semanticscholar   +3 more sources

Minimum Moduli of Ordinary Differential Operators

Proceedings of the London Mathematical Society, 1971
S. Goldberg, A. Meir
semanticscholar   +2 more sources

Commuting pairs of linear ordinary differential operators of orders four and six

Physica D: Nonlinear Phenomena, 1988
F. Grünbaum
semanticscholar   +3 more sources

On commuting ordinary differential operators with polynomial coefficients corresponding to spectral curves of genus two

, 2016
The group of automorphisms of the first Weyl algebra acts on commuting ordinary differential operators with polynomial coefficient. In this paper we prove that for fixed generic spectral curve of genus two the set of orbits is infinite.
V. N. Davletshina, A. Mironov
semanticscholar   +1 more source

Eigenfunctions of Ordinary Differential Euler Operators

Journal of Mathematical Sciences, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources