Results 11 to 20 of about 3,819,966 (316)
Dunkl Hyperbolic Equations [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2008 We introduce and study the Dunkl symmetric systems. We prove the well-posedness results for the Cauchy problem for these systems. Eventually we describe the finite speed of it. Next the semi-linear Dunkl-wave equations are also studied.
Hatem Mejjaoli
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Hyperbolic Methods for Einstein’s Equations [PDF]
Living Reviews in Relativity, 1998 I review evolutionary aspects of general relativity, in particular those related to the hyperbolic character of the field equations and to the applications or consequences that this property entails.
Reula Oscar
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Contact Geometry of Hyperbolic Equations of Generic Type [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2008 We study the contact geometry of scalar second order hyperbolic equations in the plane of generic type. Following a derivation of parametrized contact-invariants to distinguish Monge-Ampère (class 6-6), Goursat (class 6-7) and generic (class 7-7 ...
Dennis The
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Existence of pseudo almost periodic solutions to some classes of partial hyperbolic evolution equations [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2007 The paper examines the existence of pseudo almost periodic solutions to some classes of partial hyperbolic evolution equations. Namely, some sufficient conditions for the existence and uniqueness of pseudo almost periodic solutions to those classes of ...
Toka Diagana
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Inverse problems for hyperbolic equations [PDF]
, 2006 We give a survey of author's results on the inverse hyperbolic problems with time-dependent and time-independent coefficients. We consider the case of hyperbolic equations with Yang-Mills potentials and the case of domains with obstacles. In particular, we gave a stability estimate for the broken X-ray transform in the case of one convex obstacle in ...
G. Eskin
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Quasilinear hyperbolic equations with hysteresis
Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2002 Plasticity, ferromagnetism, ferroelectricity and other phenomena lead to quasi-linear hyperbolic equations of the form \frac{\partial ^{2}}{\partial t^{2}}\left[u + F\left(u\right)\right] + Au = f, where is a (possibly discontinuous) hysteresis operator, and
A. Visintin
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Asymptotics of the solution of the hyperbolic system with a small parameter
MANAS: Journal of Engineering, 2022 Asymptotic study of singularly perturbed differential equations of hyperbolic type has received relatively little attention from researchers. In this paper, the asymptotic solution of the singularly perturbed Cauchy problem for a hyperbolic system is ...
Asan Omuraliev, Ella Abylaeva
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The Fuchsian approach to global existence for hyperbolic equations [PDF]
Communications in Partial Differential Equations, 2019 We analyze the Cauchy problem for symmetric hyperbolic equations with a time singularity of Fuchsian type and establish a global existence theory along with decay estimates for evolutions toward the singular time under a small initial data assumption. We,
F. Beyer +2 more
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Nonlinear Engineering, 2023 Two numerical regimes for the one- and two-dimensional hyperbolic telegraph equations are contrasted in this article. The first implemented regime is uniform algebraic trigonometric tension B-spline DQM, while the second implemented regime is uniform ...
Kapoor Mamta
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On the Superstability of the Pexider Type Trigonometric Functional Equation
Journal of Inequalities and Applications, 2010 We will investigate the superstability of the (hyperbolic) trigonometric functional equation from the following functional equations: f(x+y)±g(x−y)=λf(x)g(y) andf(x+y)±g(x−y)=λg(x)f(y), which can be considered ...
Gwang Hui Kim
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