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Sequences of Groups, Hypergroups and Automata of Linear Ordinary Differential Operators

open access: yesMathematics, 2021
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

Extensions of dissipative operators with closable imaginary part [PDF]

open access: yesOpuscula Mathematica, 2021
Given a dissipative operator \(A\) on a complex Hilbert space \(\mathcal{H}\) such that the quadratic form \(f \mapsto \text{Im}\langle f, Af \rangle\) is closable, we give a necessary and sufficient condition for an extension of \(A\) to still be ...
Christoph Fischbacher
doaj   +1 more source

Advances in Evolutionary Optimization of Quantum Operators

open access: yesMendel, 2021
A comparative study is presented regarding the evolutionary design of quantum operators in the form of unitary matrices.A comparative study is presented regarding the evolutionary design of quantum operators in the form of unitary matrices.
Petr Žufan, Michal Bidlo
doaj   +3 more sources

Closed-Form Solutions of Linear Ordinary Differential Equations with General Boundary Conditions

open access: yesAxioms, 2021
This paper deals with the solution of boundary value problems for ordinary differential equations with general boundary conditions. We obtain closed-form solutions in a symbolic form of problems with the general n-th order differential operator, as well ...
Efthimios Providas   +2 more
doaj   +1 more source

Commutative Ordinary Differential Operators [PDF]

open access: yesProceedings of the London Mathematical Society, 1923
Abstract The paper is conveniently divided into two sections. The first contains the general argument and the main propositions unencumbered by proof: in the first paragraph of this section is collected material already published; the succeeding paragraphs of the section are devoted to new results.
J. L. Burchnall, T. W. Chaundy
openaire   +1 more source

A Procedure for Factoring and Solving Nonlocal Boundary Value Problems for a Type of Linear Integro-Differential Equations

open access: yesAlgorithms, 2021
The aim of this article is to present a procedure for the factorization and exact solution of boundary value problems for a class of n-th order linear Fredholm integro-differential equations with multipoint and integral boundary conditions.
Efthimios Providas   +1 more
doaj   +1 more source

Direct and Inverse Problems of Spectral Analysis for Arbitrary-Order Differential Operators with Nonintegrable Regular Singularities

open access: yesСовременная математика: Фундаментальные направления, 2021
A short review is presented of results on the spectral theory of arbitrary order ordinary differential operators with non-integrable regular singularities.
V. A. Yurko
doaj   +1 more source

Inverse Spectral Problems for Arbitrary-Order Differential Operators with Distribution Coefficients

open access: yesMathematics, 2021
In this paper, we propose an approach to inverse spectral problems for the n-th order (n≥2) ordinary differential operators with distribution coefficients.
Natalia P. Bondarenko
doaj   +1 more source

The Friedrichs extension of certain singular differential operators, II

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2009
We study the Friedrichs extension for a class of $2n$th order ordinary differential operators. These selfadjoint operators have compact inverses and the central problem is to describe their domains in terms of boundary conditions.
G. M. Ballard, J. V. Baxley
doaj   +1 more source

Construction of an Infinite Cyclic Group Formed by Artificial Differential Neurons

open access: yesMathematics, 2022
Infinite cyclic groups created by various objects belong to the class to the class basic algebraic structures. In this paper, we construct the infinite cyclic group of differential neurons which are modifications of artificial neurons in analogy to ...
Jan Chvalina   +2 more
doaj   +1 more source

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