Results 31 to 40 of about 3,187,807 (353)
On Differential Operators and Connections [PDF]
Transactions of the American Mathematical Society, 1961 In this paper we construct, for an arbitrary principal bundle (with group a real Lie group) over a differentiable manifold, a sheaf of germs of linear differential operators of first order operating on the sheaf of germs of sections of any differentiable vector bundle associated with the given principal bundle. The commutators of these operators define
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Linear Differential Operator with an Involution as a Generator of an Operator Group [PDF]
, 2018 We use the method of similar operators to study a mixed problem for a differential equation with an involution and an operator-valued potential function.
A. Baskakov, I. Krishtal, N. Uskova
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Resolvent for Non-Self-Adjoint Differential Operator with Block-Triangular Operator Potential
Abstract and Applied Analysis, 2016 A resolvent for a non-self-adjoint differential operator with a block-triangular operator potential, increasing at infinity, is constructed. Sufficient conditions under which the spectrum is real and discrete are obtained.
Aleksandr Mikhailovich Kholkin
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Third-order differential subordination and superordination involving a fractional operator
Open Mathematics, 2015 The third-order differential subordination and the corresponding differential superordination problems for a new linear operator convoluted the fractional integral operator with the Carlson-Shaffer operator, are investigated in this study.
Ibrahim Rabha W. +2 more
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On the “splitting” effect for multipoint differential operators with summable potential
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2017 We study the differential operator of the fourth order with multipoint boundary conditions. The potential of the differential operator is summable function on a finite segment.
Sergey I Mitrokhin
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New Differential Operator for Holomorphic Functions
Earthline Journal of Mathematical Sciences, 2019 In this paper, by making use of binomial series, we define a new differential operator of holomorphic functions in the open unit disk. Also, we introduce and investigate two new classes containing this new operator associated with differential ...
A. Wanas
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Axioms, 2020 A class of Briot–Bouquet differential equations is a magnificent part of investigating the geometric behaviors of analytic functions, using the subordination and superordination concepts. In this work, we aim to formulate a new differential operator with
Rabha W. Ibrahim +2 more
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A New Subclass of Analytic Functions Defined by Using Salagean q-Differential Operator
Mathematics, 2019 In our present investigation, we use the technique of convolution and quantum calculus to study the Salagean q-differential operator. By using this operator and the concept of the Janowski function, we define certain new classes of analytic functions ...
M. Naeem +4 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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Differential operators on a hypersurface [PDF]
Nagoya Mathematical Journal, 1986 We study differential operators on an affine algebraic variety, especially a hypersurface, in the context of Nakai’s Conjecture. We work over a field k of characteristic zero. Let X be a reduced affine algebraic variety over k and let A be its coordinate ring. Let be the A-module of differential operators of A over k of order ≤ n.
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