Results 21 to 30 of about 328,940 (311)
Современная 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
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A unified approach to Darboux transformations [PDF]
, 2009 We analyze a certain class of integral equations related to Marchenko equations and Gel'fand-Levitan equations associated with various systems of ordinary differential operators.
Ablowitz M J +22 more
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Some Results on Ordinary Differential Operators with Periodic Coefficients [PDF]
, 2014 For a general ordinary differential operator $$\mathcal {L}$$L with periodic coefficients we prove that the characteristic polynomial of the Floquet matrix is irreducible over the field of meromorphic functions.
V. Papanicolaou
semanticscholar +1 more source
Inverse Spectral Problems for Arbitrary-Order Differential Operators with Distribution Coefficients
Mathematics, 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
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The Friedrichs extension of certain singular differential operators, II
Electronic 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
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Construction of an Infinite Cyclic Group Formed by Artificial Differential Neurons
Mathematics, 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
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Reconstruction of Higher-Order Differential Operators by Their Spectral Data
Mathematics, 2022 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
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Explicit Solutions of Singular Differential Equation by Means of Fractional Calculus Operators
Abstract and Applied Analysis, 2013 Recently, several authors demonstrated the usefulness of fractional calculus operators in the derivation of particular solutions of a considerably large number of linear ordinary and partial differential equations of the second and higher orders.
Resat Yilmazer, Okkes Ozturk
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Weighted Fractional Calculus: A General Class of Operators
Fractal and Fractional, 2022 We conduct a formal study of a particular class of fractional operators, namely weighted fractional calculus, and its extension to the more general class known as weighted fractional calculus with respect to functions.
Arran Fernandez, Hafiz Muhammad Fahad
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Semi-boundedness of Ordinary Differential Operators
Journal of Differential Equations, 1995 The paper concerns the boundedness from below and above of very general symmetric quasi-differential operators. These operators are induced by (regular or singular) symmetric quasi-differential expressions which are generated by a certain class of matrices whose elements are only assumed to be locally integrable.
Möller, M., Zettl, A.
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