Results 11 to 20 of about 38,605 (282)
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 +2 more
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Homogeneous Dirichlet problems for quasilinear anisotropic degenerate parabolic–hyperbolic equations
Journal of Differential Equations, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Li, Yachun, Wang, Qin
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Journal of Optimization, Differential Equations and Their Applications, 2021 In this paper we discuss the problem of boundary exact null controllability for weakly and strongly degenerate linear wave equation defined on star-shaped planar network. The network is represented by a singular measure in a bounded planar domain.
Peter I. Kogut +2 more
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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 Behavior of Solution of Degenerated Hyperbolic Equation [PDF]
ISRN Applied Mathematics, 2012 The purpose of this paper is to learn some features of hyperbolic type of nonlinear equations. It is shown that the solution of the equation approaches to the endlessness in the inside of some initial conditions and time of the special marks. The local existence of the equation’s solution has been proved and the problem of unlimited increasing on the ...
Gadjiev, Tahir +2 more
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Explicit solutions of Cauchy problems for degenerate hyperbolic equations with Transmutations methods [PDF]
Mathematics and Modeling in Finance, 2022 This article's primary goal is to compute an explicit transmutation-based solution to a degenerate hyperbolic equation of second order in terms of time.
Mahdieh Aminian Shahrokhabadi +1 more
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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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Degenerate hyperbolic equations with lower degree degeneracy [PDF]
Proceedings of the American Mathematical Society, 2014 Summary: We prove that the Cauchy problem of degenerate hyperbolic equations is well-posed if leading coefficients are degenerate at a low degree.
Han, Qing, Liu, Yannan
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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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Stochastic non-isotropic degenerate parabolic–hyperbolic equations
Stochastic Processes and their Applications, 2017 35 ...
Benjamin Gess, Panagiotis E. Souganidis
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