Results 81 to 90 of about 54,965 (200)
On differential operators and differential equations on torus
Summary: In this paper, we consider periodic boundary value problems for a differential equation whose coefficients are trigonometric polynomials. The spaces of generalized functions are constructed, in which the problems considered have solutions, in particular, the solvability space of a periodic analogue of the Mizohata equation is constructed.
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Encoding and recovery of operator values
We formulate the problem of recovery values of the operator y = Ax with the help of discrete information which is taken from the element x. Concrete situations are considered where A is the mth differentiation operator or the convolution operator, and ...
Korneichuk, N.P
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Weighted Differentiation Composition Operator from Logarithmic Bloch Spaces to Zygmund-Type Spaces [PDF]
Let H() denote the space of all holomorphic functions on the unit disk of ℂ, u∈H() and let n be a positive integer, φ a holomorphic self-map of , and μ a weight.
Yongmin Liu, Shulei Cheng, Huiying Qu
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Saigo Fractional q-Differentiation Operator Involving Generalized q-Mittag–Leffler Function
The purpose of this study is to obtain the images of the generalized q-analogue of Mittag–Leffler functions under the Saigo fractional q-differentiation operator, where its argument consists of a factor xζxq−μ+ξ−θ.
Mulugeta Dawud Ali, D. L. Suthar
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Supercyclic properties of extended eigenoperators of the differentiation operator on the space of entire functions [PDF]
A continuous linear operator L defined on the space of entire functions H(C) is said to be an extended λ-eigenoperator of the differentiation operator D provided DL = λLD.
León Saavedra, Fernando +4 more
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Parabolic equation with exponential nonlinearity as the condition of joint venture linear system
An attempt is made to construct a 2 + 1 - dimensional nonlinear model that is a condition for the compatibility of a system of two first - order linear differential equations. The resulting equation is related to the operator L, A to the pair and the Lax
Olesya Borisovna Surneva +1 more
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State Entropy and Differentiation Phenomenon
In the formalism of quantum theory, a state of a system is represented by a density operator. Mathematically, a density operator can be decomposed into a weighted sum of (projection) operators representing an ensemble of pure states (a state distribution)
Masanari Asano +3 more
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We investigate the conditions of the $n$-similarity of the $n^{m th}$ degreeof the differentiation operator to an operatorwhich is left inverse to the $n^{m th}$ degree of the integration operator in the spaces ofanalytic functions.
Zvozdetskyi T.I.
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Operator Calculus of Differential Chains and Differential Forms [PDF]
68 pages, 14 figures. First posted on the arxiv in 2012, published in Springer's First online 05 September 2013 and published in The Journal of Geometric Analysis, January 2015. Since this paper was posted, two unrelated applications have been published: arXiv:1310.0508 and Seguin and Fried, Math. Models Methods Appl. Sci. 24, 1729 (2014).
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Solvability of fractional analogues of the Neumann problem for a nonhomogeneous biharmonic equation
In this article we study the solvability of some boundary value problems for inhomogenous biharmobic equations. As a boundary operator we consider the differentiation operator of fractional order in the Miller-Ross sense.
Batirkhan Kh. Turmetov
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