Results 11 to 20 of about 477,941 (281)
Classification of self-adjoint domains of odd-order differential operators with matrix theory
Open Mathematics, 2023 In this article, we investigate the classification of self-adjoint boundary conditions of odd-order differential operators. We obtain that for odd-order self-adjoint boundary conditions under some assumptions, there are exactly two basic types of self ...
Zhang Maozhu, Hao Xiaoling, Wang Jing
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Differential symmetry breaking operators I : General theory and F-method [PDF]
, 2015 International audienceWe prove a one-to-one correspondence between differential symmetry breaking operators for equivariant vector bundles over two homogeneous spaces and certain homomorphisms for representations of two Lie algebras, in connection with ...
Kobayashi, T., Pevzner, M.
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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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ON DIFFERENTIAL IDEALS OF DIFFERENTIAL RINGS [PDF]
مجلة جامعة الانبار للعلوم الصرفة, 2012 In this paper we introduce two operators denoted by and of a differential ring constructed from a subset of a differential ring. We shall also discuss the relationship between these operators and the differential ideals in differential rings, and Keigher
Yaseen A.W. Alhiti
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Pseudo-Differential Operators Associated with the Jacobi Differential Operator
Journal of Mathematical Analysis and Applications, 1998 The authors consider pseudo-differential operators on \((0,+\infty)\), defined in terms of the Fourier-Jacobi transform: \[ (Ff)(\xi)=\widehat f(\xi)=\int^\infty_0\varphi_\xi(x)f(x)dm(x) \] where \(\varphi_\xi(x)\) is the Jacobi function and \(dm(x)\) the associated measure. Precisely, for a suitable class of symbols \(p(x,\xi)\), one sets \[ p(x,D)f(x)
Ben Salem, N., Dachraoui, A.
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Some Families of Differential Equations Associated with Multivariate Hermite Polynomials
Fractal and Fractional, 2023 In this article, the recurrence relations and shift operators for multivariate Hermite polynomials are derived using the factorization approach. Families of differential equations, including differential, integro–differential, and partial differential ...
Badr Saad T. Alkahtani +2 more
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Functional Analysis and Exterior Calculus on Mixed-Dimensional Geometries [PDF]
, 2019 We are interested in differential forms on mixed-dimensional geometries, in the sense of a domain containing sets of $d$-dimensional manifolds, structured hierarchically so that each $d$-dimensional manifold is contained in the boundary of one or more $d
Boon, Wietse M. +2 more
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Fiberwise linear differential operators [PDF]
Forum Mathematicum, 2021 Abstract We define a new notion of fiberwise linear differential operator on the total space of a vector bundle E. Our main result is that fiberwise linear differential operators on E are equivalent to (polynomial) derivations of an appropriate line bundle over
Fabrizio Pugliese +2 more
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Relatively bounded and compact perturbations of nth order differential operators
International Journal of Mathematics and Mathematical Sciences, 1998 A perturbation theory for nth order differential operators is developed. For certain classes of operators L, necessary and sufficient conditions are obtained for a perturbing operator B to be relatively bounded or relatively compact with respect to L ...
Terry G. Anderson
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Solution of the inverse spectral problem for differential operators on a finite interval with complex weights [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. ИнформатикаNon-self-adjoint second-order ordinary differential operators on a finite interval with complex weights are studied. Properties of spectral characteristics are established, and the inverse problem of recovering operators from their spectral ...
Yurko, Vjacheslav Anatol'evich
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