Results 21 to 30 of about 855 (241)

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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Goursat problem for loaded degenerate second order hyperbolic equation with Gellerstedt operator in principal part

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2016
In the paper we study a loaded degenerate hyperbolic equation of the second order with variable coefficients. The principal part of the equation is the Gellerstedt operator.
Anatoly H Attaev
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Recovering Degenerate Kernels in Hyperbolic Integro-Differential Equations

Zeitschrift für Analysis und ihre Anwendungen, 2002
The problem of recovering a degenerate operator kernel in a hyperbolic integro-differential operator equation is studied. Existence, uniqueness and stability for the solution are proved. A conditional convergence of a sequence of solutions corresponding to degenerate kernels to a solution corresponding to a non-degenerate kernel is shown.
J. Janno, A. Lorenzi
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A boundary value problem for a third order hyperbolic equation with degeneration of order inside the domain

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2017
In this paper we study the boundary value problem for a degenerating third order equation of hyperbolic type in a mixed domain. The equation under consideration in the positive part of the domain coincides with the Hallaire equation, which is a ...
Ruzanna Kh Makaova
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Global Weak Solution, Uniqueness and Exponential Decay for a Class of Degenerate Hyperbolic Equation

Communications in Advanced Mathematical Sciences, 2022
This paper deals with existence, uniqueness and energy decay of solutions to a degenerate hyperbolic equations given by \begin{align*} K(x,t)u'' - M\left(\int_\Omega |\nabla u|^2\,dx \right) \Delta u - \Delta u' = 0, \end{align*} with operator ...
Carlos Raposo, Ducival Pereira
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Holographic thermal correlators for hyperbolic CFTs

Journal of High Energy Physics, 2023
We use holography to compute the exact form of retarded Green’s functions for a scalar operator with conformal dimension ∆ in a thermal CFT and in its related counterpart with chemical potential in R 1 × H 3.
Atanu Bhatta, Shankhadeep Chakrabortty, Taniya Mandal, Arpit Maurya   +3 more
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Solvability of a nonlocal problem for a hyperbolic equation with degenerate integral conditions

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2019
In this paper, we consider a nonlocal problem with integral conditions for hyperbolic equation. Close attention focuses on degenerate integral conditions, namely, on the second kind integral conditions which degenerate into the first kind conditions at ...
Ludmila Stepanovna Pulkina, Vitaliya Aleksandrovna Kirichek   +1 more
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A boundary-value problem with shift for a hyperbolic equation degenerate in the interior of a region

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2014
For a degenerate hyperbolic equation in characteristic region (lune) a boundary-value problem with operators of fractional integro-differentiation is studied.
Oleg A Repin, Svetlana K Kumykova
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Global attractor for degenerate damped hyperbolic equations

Journal of Mathematical Analysis and Applications, 2017
This paper deals with the asymptotic behavior of the solutins of the following problem: \[ \partial_{tt} u(x,t) +\beta u_t(x,t) =\mathcal{L} u(x,t) + f(u(x,t)) \quad x\in \Omega, \;t>0 \] \[ u(x,t) =0 \quad x\in \partial \Omega, \;t>0 \] and \[ u(x,0)=u_0(x), \;\;u_t(x,0) = u_1(x), \quad x\in \Omega, \] where \(\Omega\) is bounded domain in \(\mathbb{R}
Li, Dandan, Sun, Chunyou, Chang, Qingquan   +2 more
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On the Cauchy problem of degenerate hyperbolic equations [PDF]

Transactions of the American Mathematical Society, 2005
The paper refers to the existence of smooth solutions for the Cauchy problem for a \(n\)-dimensional degenerate hyperbolic equation. The degeneracy occurs since the function \(K(x,t)\) multiplying the linear combination of second order spatial derivatives is allowed to vanish.
Han, Q., Hong, J. X., Lin, C. S.
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