Search Results - "Yurchuk, N. I."
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Cauchy Problem for the Euler–Poisson–Darboux Equation with a Dirac Potential Concentrated at Finitely Many Given Points
Published in Differential equations (2020)“…In a strip, we consider an equation with the Euler–Poisson–Darboux operator containing a real positive parameter. We prove an energy inequality and the…”
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Classical and generalized solutions of problems for the telegraph equation with a Dirac potential
Published in Differential equations (01-10-2015)“…We obtain classical and strong generalized solutions of the Cauchy problem and the second mixed problem as well as a strong generalized solution (there does…”
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Directional Derivative Problem for the Telegraph Equation with a Dirac Potential
Published in Differential equations (01-09-2018)“…In the domain Q = [0,∞)×[0,∞) of the variables ( x , t ), for the telegraph equation with a Dirac potential concentrated at a point ( x 0 , t 0 ) ∈ Q , we…”
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Cauchy problem and the second mixed problem for parabolic equations with the Dirac potential
Published in Differential equations (01-06-2015)“…We obtain classical solutions of the Cauchy problem and the second mixed problem for parabolic equations in which the free term has the form γδ ( x 0 , t 0 ) u…”
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Mixed problem for the string vibration equation with a time-dependent oblique derivative in the boundary condition
Published in Differential equations (01-08-2009)“…We obtain formulas for the classical solution of the mixed problem for the equation of vibrations of a half-bounded string for the case in which the boundary…”
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A Classical Solution Weakened on the Axis for a Centrally Symmetric Mixed Problem for a Three-Dimensional Hyperbolic Equation of Even Order in Hölder Spaces
Published in Differential equations (01-05-2004)“…(ProQuest: Abstract omitted; see image)[PUBLICATION ABSTRACT]…”
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A priori estimates and continuous dependence of solutions of mixed problems for parabolic equations as nonlocal boundary conditions pass into local ones
Published in Differential equations (01-03-2008)“…In the rectangle G = (0, 1) × (0, T ), we consider the family of problems . It is well known that, for α = 0 and α = 1, the corresponding problems with local…”
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An Application of the Contour Integral Method to a Mixed Problem of Dynamic Impact Theory
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A Classical Solution, Weakened on the Axis, of a Centrally Symmetric Mixed Problem for a Three-Dimensional Hyperbolic Equation in Hölder Spaces
Published in Differential equations (01-06-2001)“…(ProQuest: Abstract omitted; see image)[PUBLICATION ABSTRACT]…”
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Method for Solving Nonstationary Heat Problems with Mixed Discontinuous Boundary Conditions on the Boundary of a Half-Space
Published in Differential equations (01-08-2001)“…(ProQuest: Abstract omitted; see image)[PUBLICATION ABSTRACT]…”
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The classical solution, weakened on the axis, of the centrally symmetric third mixed problem for a three-dimensional hyperbolic equation of even order in Hölder spaces
Published in Differential equations (01-10-2006)“…(ProQuest: Abstract omitted; see image)[PUBLICATION ABSTRACT]…”
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Cauchy Problem and the Second Mixed Problem for Parabolic Equations with a Dirac Potential Concentrated at Finitely Many Given Points
Published in Differential equations (01-03-2019)“…We prove the existence and uniqueness of a classical solution of the Cauchy problem and the second mixed problem for parabolic equations whose potential is a…”
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Ivan Vasil’evich Gaishun (A tribute in honor of his sixtieth birthday)
Published in Differential equations (01-10-2006)Get full text
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One approach to the analytical solution of a two-dimensional nonstationary problem of heat conduction in regions with moving boundaries on the model of a half-space
Published in Journal of engineering physics and thermophysics (2002)“…With the use of the solution of the Dirichlet nonstationary problem with discontinuous unmixed boundary conditions on the surface of an isotropic half-space a…”
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REGULARIZATION BY NONLOCAL CONDITIONS OF THE INCORRECT PROBLEMS FOR DIFFERENTIAL‐OPERATOR EQUATIONS OF THE FIRST ORDER
Published in Mathematical modelling and analysis (15-12-1997)“…„Regularization by nonlocal conditions of the incorrect problems for differential-operator equations of the first order" Mathematical Modelling Analysis, 2(1),…”
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A method of paired integral equations in the region of laplace transforms for solving nonstationary heat conduction problems with mixed discontinuous boundary conditions
Published in Journal of engineering physics and thermophysics (01-05-1999)“…On the basis of the method developed, the solutions of four problems of mathematical physics are obtained for an infinite plate (a plane layer of thickness z =…”
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International Conference “Analytic Methods of Analysis and Differential Equations” (AMADE’99) (September 14–18, 1999, Minsk, Belarus)
Published in Differential equations (01-02-2000)“…(ProQuest: Abstract omitted; see image)[PUBLICATION ABSTRACT]…”
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Heat conduction of orthotropic half-space for mixed discontinuous boundary conditions
Published in Journal of engineering physics and thermophysics (01-09-1996)Get full text
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