Results 21 to 30 of about 1,208 (288)
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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Analysis and explicit solvability of degenerate tensorial problems
Boundary Value Problems, 2018 We study a two-dimensional boundary value problem described by a tensorial equation in a bounded domain. Once its more general definition is given, we conclude that its analysis is linked to the resolution of an overdetermined hyperbolic problem and ...
Tongxing Li, Giuseppe Viglialoro
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Boundary Value Problems, 2022 In this paper, in a cylindrical domain D = Ω × ( 0 , T ) $D=\Omega \times (0,T)$ with Ω ⊂ R n $\Omega \subset {R}^{n}$ , we consider a mixed Cauchy problem with a potential lateral boundary condition for the following noncharacteristic degenerated ...
Nurbek Kakharman, Tynysbek Kal’menov
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On Local Solutions of a Mildly Degenerate Hyperbolic Equation
Journal of Mathematical Analysis and Applications, 1999 In this paper existence and uniqueness of local solutions for the initial boundary problem associated to a second order hyperbolic equation are established. More precisely, the following problem is considered: \[ \begin{gathered} u_{tt}-M\left(\int_\Omega|Du|^2dx\right)a(x)\Delta u=0\qquad \text{in }\Omega\times\mathbb R_+,\\ u(x,t)\bigl|_{\partial ...
Aassila, Mohammed, Kaya, Dogan
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Causal Gödel-type metrics in non-local gravity theories
European Physical Journal C: Particles and Fields, 2021 It is well known that non-local theories of gravity have been a flourish arena of studies for many reasons, for instance, the UV incompleteness of General Relativity (GR). In this paper we check the consistency of ST-homogeneous Gödel-type metrics within
J. R. Nascimento +2 more
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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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Stability for some classes of degenerate nonlinear hyperbolic equations with time delay [PDF]
We consider several classes of degenerate hyperbolic equations involving delay terms and suitable nonlinearities. The idea is to rewrite the problems in an abstract way and, using semigroup theory and energy method, we study well-posedness and stability.
Fragnelli, Genni +5 more
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BOUNDARY CONTROL PROBLEM FOR ONE DEGENERATE HIBERBOLIC EQUATION [PDF]
Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2019 The paper studies the boundary control problem for a degenerate second-order hyperbolic equation. Necessary and sufficient conditions are established for minimal time controllability over Cauchy data.
Attaev A. Kh.
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A class of abstract quasi-linear evolution equations of second order
, 1999 In this paper we study the abstract quasi-linear evolution equation of second order formula here in a general banach space z. it is well-known that the abstract quasi-linear theory due to kato [10, 11] is widely applicable to quasi-linear partial ...
NAOKI TANAKA, Tanaka, Naoki
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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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