Results 21 to 30 of about 1,214 (284)
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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Nonlocal problems for hyperbolic equations with degenerate integral conditions
Electronic Journal of Differential Equations, 2016 In this article, we consider a problem for hyperbolic equation with standard initial data and nonlocal condition. A distinct feature of this problem is that the nonlocal second kind integral condition degenerates and turns into a first kind.
Ludmila S. Pulkina
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Entropy solutions for nonlinear degenerate elliptic-parabolic-hyperbolic problems
Electronic Journal of Differential Equations, 2014 We consider the nonlinear degenerate elliptic-parabolic-hyperbolic equation $$ \partial_t g (u) - \Delta b (u) - \hbox{div} \Phi(u) = f (g (u) ) \quad \text{in } (0,T) \times \Omega, $$ where g and b are nondecreasing continuous functions, $\Phi$
Ning Su, Li Zhang
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Isolated periodic wave trains in a generalized Burgers–Huxley equation
Electronic Journal of Qualitative Theory of Differential Equations, 2022 We study the isolated periodic wave trains in a class of modified generalized Burgers–Huxley equation. The planar systems with a degenerate equilibrium arising after the traveling transformation are investigated.
Qinlong Wang +3 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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On the unique solvability of a nonlocal boundary value problem with the poincaré condition [PDF]
E3S Web of Conferences, 2023 As is known, it is customary in the literature to divide degenerate equations of mixed type into equations of the first and second kind. In the case of an equation of the second kind, in contrast to the first, the degeneracy line is simultaneously the ...
Abdullaev A. A. +2 more
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Delta-problems for the generalized Euler-Darboux equation
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2017 Degenerate hyperbolic equations are dealing with many important issues for applied nature. While a variety of degenerate equations and boundary conditions, successfully matched to these differential equation, most in the characteristic coordinates ...
Irina N Rodionova +2 more
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The fractional porous medium equation on the hyperbolic space [PDF]
, 2020 We consider a nonlinear degenerate parabolic equation of porous medium type, whose diffusion is driven by the (spectral) fractional Laplacian on the hyperbolic space.
Bonforte M. +3 more
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The Dirichlet Problem for Stochastic Degenerate Parabolic-Hyperbolic Equations
Communications in Mathematical Analysis and Applications, 2022 Summary: We consider the Dirichlet problem for a quasilinear degenerate parabolic stochastic partial differential equation with multiplicative noise and nonhomogeneous Dirichlet boundary condition. We introduce the definition of kinetic solution for this problem and prove existence and uniqueness of solutions. For the uniqueness of kinetic solutions we
Frid, Hermano +4 more
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Solution of the non-local problem for the hyperbolic equation in the closed form
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2007 The non-local boundary value problem for the degenerate hyperbolic equation in the area D, which is the union of two areas in the upper and lower half-planes, is examined.
R. N. Salikhov
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