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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
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Extensions of dissipative operators with closable imaginary part [PDF]
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
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Advances in Evolutionary Optimization of Quantum Operators
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
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Closed-Form Solutions of Linear Ordinary Differential Equations with General Boundary Conditions
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
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Commutative Ordinary Differential Operators [PDF]
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
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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
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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
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Inverse Spectral Problems for Arbitrary-Order Differential Operators with Distribution Coefficients
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
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The Friedrichs extension of certain singular differential operators, II
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
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Construction of an Infinite Cyclic Group Formed by Artificial Differential Neurons
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
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