Results 11 to 20 of about 32,830 (265)
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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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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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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Computation of Pseudo-Differential Operators [PDF]
SIAM Journal on Scientific Computing, 1996 Summary: A simple algorithm is described for computing general pseudo-differential operator actions. Our approach is based on the asymptotic expansion of the symbol together with the fast Fourier transform. The idea is motivated by the characterization of the pseudo-differential operator algebra.
Gang Bao, William W. Symes
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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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Splines and fractional differential operators [PDF]
International Journal of Wavelets, Multiresolution and Information Processing, 2020 Several classes of classical cardinal B-splines can be obtained as solutions of operator equations of the form [Formula: see text] where [Formula: see text] is a linear differential operator of integral order. In this paper, we consider classes of generalized B-splines consisting of cardinal polynomial B-splines of complex and hypercomplex orders and ...
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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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A Characterization of Differential Operators [PDF]
Proceedings of the American Mathematical Society, 1967 In this paper we shall give an algebraic characterization of differential-difference operators, i.e. a characterization of those continuous linear operators from D(Rn) into L2(Rn) which can be constructed by combining partial differential operators, multiplications by locally L functions, and translation operators.
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On Inequalities for Differential Operators [PDF]
Proceedings of the American Mathematical Society, 1958 In this paper we study the following problem: Given that certain functionals of u u and its derivatives belong to given L ...
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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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