Results 11 to 20 of about 16,348 (266)
ON THE SOLUTION OF THE HOMOGENEOUS LINEAR CONJUGATION PROBLEM WITH SINGULARITIES OF NONINTEGER ORDER [PDF]
Advances in Differential Equations and Control Processes, 2018 Summary: In this article, we deal with the homogeneous problem of the linear conjugation in the exceptional case (with singularities of noninteger order) on the real axis. A closed-form representation of the solution is obtained, and the problem solvability conditions are described.
Urbanovich, T., Muradoglu, Z.
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Journal of Optimization, Differential Equations and Their Applications, 2022 Finite-element solutions of the initial-boundary value problem for a nonlinear parabolic equation in an inhomogeneous domain with the conjugation condition of a non-ideal contact were found.
Olha R. Michuta, Petro M. Martyniuk
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On solvability of linear conjugation problem in weighted holder spaces [PDF]
AIP Conference Proceedings, 2018 For analytic vector-functions from a family of Holder spaces with a power weight at the nodes of an arbitrary piecewise-Lyapunov curve, a boundary-value problem for the linear conjugation on the curve is considered. Under the assumption that the boundary-value coefficient is a triangular matrix-function, we describe necessary and sufficient solvability
Soldatov, A. P., Alexander P. Soldatov
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On Feller semigroup generated by solution of nonlocal parabolic conjugation problem
Karpatsʹkì Matematičnì Publìkacìï, 2018 The paper deals with the problem of construction of Feller semigroup for one-dimensional inhomogeneous diffusion processes with membrane placed at a point whose position on the real line is determined by a given function that depends on the time variable.
B.I. Kopytko, R.V. Shevchuk
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A conjugation problem for the heat equation in the field where the boundary moves in linear order
Қарағанды университетінің хабаршысы. Математика сериясы, 2019 A well - known analogy of the flow of viscous incompressible fluid and incompressible elastic medium. According to this analogy, the solution of the equations of the elasticity theory with the Poisson’s ratio v = 0, 5 and for any fixed shear modulus µ ...
U.K. Koilyshov, K.A. Beisenbaeva
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Exceptional case of the linear conjugation problem in weighted Hölder classes [PDF]
Differential Equations, 2015 We study the linear conjugation problem for the case in which the coefficient of the problem may have finitely many zeros and/or pole singularities on the contour. All studies are carried out in weighted H¨older classes with complex weight. We obtain a closed-form expression for the solution and the solvability conditions.
Urbanovich, T.
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Karpatsʹkì Matematičnì Publìkacìï, 2010 We consider the question of existence in Holder class of a solution of an initial-boundary problem for linear parabolic second-degree equation with discontinuous coefficients with a boundary condition and a conjugation condition which are defined by ...
Tsapovska Zh.Ya. +2 more
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Linear conjugation problems [PDF]
, 2020 We investigate the linear conjugation problem for polyanalytic functions using function theory and Cauchy-type integrals. We explicitly construct a canonical matrix-function by using the recurrence procedure and use it to study the linear conjugation ...
Tran Quang Vuong
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Boundary value problems with displacement for one mixed hyperbolic equation of the second order
Қарағанды университетінің хабаршысы. Математика сериясы, 2023 The paper studies two nonlocal problems with a displacement for the conjugation of two equations of second-order hyperbolic type, with a wave equation in one part of the domain and a degenerate hyperbolic equation of the first kind in the other part. As
Zh.A. Balkizov
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Two-stage spline-approximation in linear structure routing
Российский технологический журнал, 2021 In the article, computer design of routes of linear structures is considered as a spline approximation problem. A fundamental feature of the corresponding design tasks is that the plan and longitudinal profile of the route consist of elements of a given ...
D. A. Karpov, V. I. Struchenkov
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