Results 1 to 10 of about 5,963 (300)
Reconstruction of Higher-Order Differential Operators by Their Spectral Data
This paper is concerned with inverse spectral problems for higher-order (n>2) ordinary differential operators. We develop an approach to the reconstruction from the spectral data for a wide range of differential operators with either regular or ...
Natalia P. Bondarenko
doaj +3 more sources
Computing Almost-Commuting Basis of Ordinary Differential Operators
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.
Antonio Jimenez-Pastor +2 more
exaly +2 more sources
Sequences of Groups, Hypergroups and Automata of Linear Ordinary Differential Operators
The main objective of our paper is to focus on the study of sequences (finite or countable) of groups and hypergroups of linear differential operators of decreasing orders.
Jan Chvalina +3 more
doaj +3 more sources
Characterization of domains of self-adjoint ordinary differential operators of any order, even or odd [PDF]
We characterize the domains of very general ordinary differential operators of any order, even or odd, with complex coefficients and arbitrary deficiency index.
Xiaoling Hao +3 more
doaj +2 more sources
Spectral analysis of singular ordinary differential operators with indefinite weights
In this paper we develop a perturbation approach to investigate spectral problems for singular ordinary differential operators with indefinite weight functions.
Jussi Behrndt, Friedrich Philipp
exaly +2 more sources
Perturbation of ordinary differential operators
A perturbation theorem is proved which enables us to extend the results of J. Schwartz and others, to the effect that a wide class of boundary value problems for ordinary differential operators with operator valued coefficients generate unbounded ...
Turner, Robert E.L
core +3 more sources
A note on generalized resolvents for ordinary differential operators [PDF]
We give an explicit construction for the kernel of an arbitrary generalized resolvent for an ordinary symmetric differential operator. In particular, this avoids the use of approximation of selfadjoint operators on compact intervals.
Sung J. Lee
core +2 more sources
Normal forms for ordinary differential operators, I
In this paper we develop the generalised Schur theory offered in the recent paper by the second author in dimension one case, and apply it to obtain two applications in different directions of algebra/algebraic geometry.
Guo, J., Zheglov, A. B.
core +4 more sources
Green's Functions for Singular Ordinary Differential Operators
There are several ways to approach the eigenfunction expansion problem for ordinary differential operators via the spectral theorem for self-ad joint linear operators in Hilbert space. One can examine the resolvent, which requires a detailed study of the
Fred Brauer
core +3 more sources
On weighted positivity of ordinary differential operators
Some elliptic differential operators possess a weighted positivity property, where the weight is a fundamental solution of the operator. This property has interesting applications to partial differential operators.
Eilertsen Stefan
doaj +1 more source

