Sequences of Groups, Hypergroups and Automata of Linear Ordinary Differential Operators
Mathematics, 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
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Krall–Laguerre commutative algebras of ordinary differential operators [PDF]
Annali Di Matematica Pura Ed Applicata, 2011 In 1999, Grünbaum, Haine and Horozov defined a large family of commutative algebras of ordinary differential operators, which have orthogonal polynomials as eigenfunctions.
P. Iliev
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Commutative Ordinary Differential Operators. II. The Identity P$^{n}$ = Q$^{m}$
Proceedings of the Royal Society of London Series A, Mathematical and Physical Sciences, 1931 In a paper previously communicated to the Society we developed the general theory of ordinary differential operators P, Q of interprime orders m, n , which satisfy the commutative identity PQ = QP.
J. L. Burchnall, T. Chaundy
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Spectral properties of ordinary differential operators admitting special decompositions
Communications on Pure and Applied Analysis, 2021 We investigate spectral properties of ordinary differential operators related to expressions of the form \begin{document}$ D^{\epsilon}+a $\end{document} .
K. Stempak
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Advances in Evolutionary Optimization of Quantum Operators
Mendel, 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
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Closed-Form Solutions of Linear Ordinary Differential Equations with General Boundary Conditions
Axioms, 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
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Spectral analysis of singular ordinary differential operators with indefinite weights
Journal of Differential Equations, 2010 J. Behrndt, F. Philipp
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Algorithms, 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
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Invertible linear ordinary differential operators and their generalizations
, 2020 In this paper, the previously obtained description of invertible linear ordinary differential operators is generalized to invertible linear discrete-time operators, unimodular matrices, and transformations of control systems.
V. Chetverikov
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Commuting ordinary differential operators with polynomial coefficients and automorphisms of the first Weyl algebra [PDF]
, 2015 In this paper we study rank two commuting ordinary differential operators with polynomial coefficients and the orbit space of the automorphisms group of the first Weyl algebra on such operators.
A. Mironov, A. Zheglov
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