Results 11 to 20 of about 4,356 (261)
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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Products of ordinary differential operators by evaluation and interpolation [PDF]
Proceedings of the twenty-first international symposium on Symbolic and algebraic computation, 2008 It is known that multiplication of linear differential operators over ground fields of characteristic zero can be reduced to a constant number of matrix products. We give a new algorithm by evaluation and interpolation which is faster than the previously-known one by a constant factor, and prove that in characteristic zero, multiplication of ...
Bostan, Alin +2 more
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Commuting Ordinary Differential Operators and the Dixmier Test [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2019 The Burchnall-Chaundy problem is classical in differential algebra, seeking to describe all commutative subalgebras of a ring of ordinary differential operators whose coefficients are functions in a given class. It received less attention when posed in the (first) Weyl algebra, namely for polynomial coefficients, while the classification of commutative
Previato, E., Rueda, S.L., Zurro, M.-A.
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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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On Factorizations of Selfadjoint Ordinary Differential Operators [PDF]
Proceedings of the American Mathematical Society, 1982 Consider an ordinary linear differential operator L L , of order
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Electronic Journal of Qualitative Theory of Differential Equations, 2017 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
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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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Differential difference inequalities related to parabolic functional differential equations [PDF]
Opuscula Mathematica, 2010 Initial boundary value problems for nonlinear parabolic functional differential equations are transformed by discretization in space variables into systems of ordinary functional differential equations.
Milena Netka
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Spectral Curves for Third-Order ODOs
AxiomsSpectral curves are algebraic curves associated to commutative subalgebras of rings of ordinary differential operators (ODOs). Their origin is linked to the Korteweg–de Vries equation and to seminal works on commuting ODOs by I.
Sonia L. Rueda, Maria-Angeles Zurro
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