Results 11 to 20 of about 138,809 (284)
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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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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Correlation functions of disorder operators in massive ghost theories [PDF]
, 2002 The two-dimensional ghost systems with negative integral central charge received much attention in the last years for their role in a number of applications and in connection with logarithmic conformal field theory.
Bernard D +9 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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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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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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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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Symbolic Analysis for Boundary Problems: From Rewriting to Parametrized Groebner Bases [PDF]
, 2012 We review our algebraic framework for linear boundary problems (concentrating on ordinary differential equations). Its starting point is an appropriate algebraization of the domain of functions, which we have named integro-differential algebras.
Buchberger, Bruno +3 more
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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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Commutative ordinary differential operators [PDF]
Proceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character, 1928 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. The second section of the paper includes proofs of
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