Search Results - "Korzyuk, V. I."

Classical Solution of the Second Mixed Problem for the Telegraph Equation with a Nonlinear Potential by Korzyuk, V. I., Rudzko, J. V.

“…For the telegraph equation with a nonlinear potential, we consider a mixed problem in the first quadrant in which the Cauchy conditions are specified on the…”
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Classical Solution of the First Mixed Problem for the Telegraph Equation with a Nonlinear Potential in a Curvilinear Quadrant by Korzyuk, V. I., Rudzko, J. V.

“…For the telegraph equation with a nonlinear potential in a curvilinear quadrant, we consider a mixed problem with the Cauchy conditions on a spatial half-line…”
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Classical Solution of the First Mixed Problem for the Wave Equation in a Cylindrical Domain by Korzyuk, V. I., Stolyarchuk, I. I.

“…We consider the first mixed problem for the wave equation in a cylindrical domain. Using the method of characteristics, we obtain an explicit formula for the…”
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Classical Solution of the First Mixed Problem for the Telegraph Equation with a Nonlinear Potential by Korzyuk, V. I., Rudzko, J. V.

“…For the telegraph equation with a nonlinear potential given in the first quadrant, we consider a mixed problem in which the Cauchy conditions are specified on…”
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Classical Solution of the First Mixed Problem for the Wave Equation in a Curvilinear Half-Strip by Korzyuk, V. I., Kozlovskaya, I. S., Naumavets, S. N.

“…We consider the solution of the first mixed problem for the wave equation with two independent variables in a curvilinear half-strip. Under certain smoothness…”
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Classical solution of the first mixed problem for second-order hyperbolic equation in curvilinear half-strip with variable coefficients by Korzyuk, V. I., Stolyarchuk, I. I.

“…The classical solution of the first mixed problem for a second-order hyperbolic equation with variable coefficients in the case of two independent variables in…”
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First mixed problem for a nonstrictly hyperbolic equation of the third order in a bounded domain by Korzyuk, V. I., Mandrik, A. A.

“…We study the classical solution of a boundary value problem for a nonstrictly parabolic equation of the third order in a rectangular domain of two independent…”
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Classical solution of the first mixed problem for the Klein-Gordon-Fock equation in a half-strip by Korzyuk, V. I., Stolyarchuk, I. I.

“…We consider a classical solution of the first boundary value problem for the Klein-Gordon-Fock equation in a half-strip in the one-dimensional case. We prove…”
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Boundary value problems for a nonstrictly hyperbolic equation of the third order by Korzyuk, V. I., Mandrik, A. A.

“…We study classical solutions of boundary value problems for a nonstrictly hyperbolic third-order equation. The equation is posed in a half-strip and a quadrant…”
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Classical solution of a problem with an integral condition for the one-dimensional wave equation by Moiseev, E. I., Korzyuk, V. I., Kozlovskaya, I. S.

“…We find a closed-form classical solution of the homogeneous wave equation with Cauchy conditions, a boundary condition on the lateral boundary, and a nonlocal…”
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Classical solution of the first mixed problem for a third-order hyperbolic equation with the wave operator by Korzyuk, V. I., Mandrik, A. A.

“…We study the classical solution of the boundary value problem for a third-order hyperbolic equation defined on the plane in a half-strip with the Cauchy…”
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Classical Solution to the Cauchy Problem for a Semilinear Hyperbolic Equation in the Case of Two Independent Variables by Korzyuk, V. I., Rudzko, J. V.

“…In the upper half-plane, we consider a semilinear hyperbolic partial differential equation of order higher than two. The operator in the equation is a…”
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Boundary value problems for a weakly loaded operator of a second-order hyperbolic equation in a cylindrical domain by Korzyuk, V. I., Dzhenaliev, M. T., Kozlovskaya, I. S.

“…By using methods of functional analysis, we prove the existence and uniqueness, in appropriate function spaces, of solutions of boundary value problems for a…”
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Cauchy problem for a nonstrictly hyperbolic equation on a half-plane with constant coefficients by Korzyuk, V. I., Kozlovskaya, I. S., Kozlov, A. I.

“…We consider the Cauchy problem for a nonstrictly hyperbolic equation of arbitrary order with constant coefficients. The operator in the equation is a…”
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Development of Fushchich’s Mathematical Model of Heat Transfer by Korzyuk, V. I., Rud’ko, Ya. V.

“…For the fourth-order partial differential equation proposed by Fushchich for mathematical description of heat and mass transfer processes, the class of…”
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Solution of the cauchy problem for a hyperbolic equation with constant coefficients in the case of two independent variables by Korzyuk, V. I., Kozlovskaya, I. S.

“…On the plane, we consider a linear partial differential equation of arbitrary order of hyperbolic type. The operator in the equation is a composition of…”
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Problem of Longitudinal Vibrations of a Maxwell-Type Viscoelastic Rod by Korzyuk, V. I., Rudzko, J. V., Kolyachko, V. V.

“…Well-posedness in the sense of Hadamard is examined for the Cauchy problem of a one-dimensional hyperbolic system of partial differential equations describing…”
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Classical and Mild Solution of the First Mixed Problem for the Telegraph Equation with a Nonlinear Potential by Korzyuk, V. I., Rudzko, J. V.

“…We study the first mixed problem for the telegraph equation with a nonlinear potential in the first quadrant. We pose the Cauchy conditions on the lower base…”
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Mixed Problem with an Integral Condition for the One-Dimensional Biwave Equation by Korzyuk, V. I., Vinh, N. V.

“…We consider a mixed problem for the one-dimensional biwave equation with boundary conditions and a nonlocal integral condition. We prove the existence and…”
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Conditions for the Hyperbolicity of a Linear Third-Order Differential Equation in a One-Dimensional Space by Korzyuk, V. I., Mandrik, A. A.

“…We study the general linear third-order differential equation with constant real coefficients in the case of two independent variables. Necessary and…”
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