Results 21 to 30 of about 130,034 (274)
On the approximate solution of the Cauchy problem for the Helmholtz equation on the plane [PDF]
Computational Algorithms and Numerical DimensionsIn this paper, approximate solutions of the Cauchy problem for the Helmholtz equation on a two-dimensional bounded region are found. The problem under consideration belongs to the problems of mathematical physics, in which there is no continuous ...
Davron Juraev +3 more
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An analog of the Cauchy formula for certain Beltrami equations
Учёные записки Казанского университета: Серия Физико-математические науки, 2019 The Beltrami differential equations are intrinsic generalizations of the Cauchy–Riemann system in complex analysis. Their solutions generalize holomorphic functions. As known, solutions to many problems of the complex analysis are based on application of
D.B. Katz, B.A. Kats
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On Problem of Internal Boundary Control for String Vibration Equation
Қарағанды университетінің хабаршысы. Математика сериясы, 2021 The article deals with the vibration control problem described by one dimensional wave equation with integral type boundary condition. As usual, the initial and final moments of time for arbitrary displacements and velocities of the wave are specified ...
A.Kh. Attaev
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Boundary value problems on fractal hypersurfaces for the quaternionic hermitian system in R-4n [PDF]
, 2014 In this paper we formulate and study Dirichlet and jump problems on fractal hypersurfaces in R4n for quaternionic Hermitian monogenic functions, using a circulant matrix approach.
Abreu-Blaya, Ricardo +5 more
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Differential forms and Clifford analysis [PDF]
, 2016 In this paper we use a calculus of differential forms which is defined using an axiomatic approach. We then define integration of differential forms over chains in a new way and we present a short proof of Stokes' formula using distributional techniques.
Sabadini, Irene, Sommen, Franciscus
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A Cauchy kernel for slice regular functions
, 2009 In this paper we show how to construct a regular, non commutative Cauchy kernel for slice regular quaternionic functions. We prove an (algebraic) representation formula for such functions, which leads to a new Cauchy formula.
Colombo, Fabrizio +2 more
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Higher order Borel–Pompeiu representations in Clifford analysis [PDF]
, 2016 In this paper, we show that a higher order Borel–Pompeiu (Cauchy–Pompeiu) formula, associated with an arbitrary orthogonal basis (called structural set) of a Euclidean space, can be extended to the framework of generalized Clifford analysis. Furthermore,
Bory Reyes, Juan +3 more
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CARLEMAN'S FORMULA OF A SOLUTIONS OF THE POISSON EQUATION IN BOUNDED DOMAIN
Ural Mathematical Journal, 2021 We suggest an explicit continuation formula for a solution to the Cauchy problem for the Poisson equation in a domain from its values and values of its normal derivative on a part of the boundary.
Ermamat N. Sattorov, Zuxro E. Ermamatova
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Қарағанды университетінің хабаршысы. Математика сериясы, 2016 The article is devoted to the study analytical formula of solution of boundary value problem with initial jump for a linear integro-diferential equation of n + m order with a small parameter in the highest derivatives.
A.E. Mirzakulova, N. Atakhan
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Cauchy integrals for the p-Laplace equation in planar Lipschitz domains
, 2014 We construct solutions to p-Laplace type equations in unbounded Lipschitz domains in the plane with prescribed boundary data in appropriate fractional Sobolev spaces.
Nyström, Kaj, Rosén, Andreas
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