Results 11 to 20 of about 116 (113)
A d’Alembert Formula for Hopf Hypersurfaces [PDF]
Results in Mathematics, 2011 A Hopf hypersurface in complex hyperbolic space CH^n is one in which the complex structure applied to the normal vector is a principal direction at each point. In this paper, Hopf hypersurfaces for which the corresponding principal curvature is small (relative to the ambient sectional curvature) are studied by means of a generalized Gauss map into a ...
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Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2014 We consider the Cauchy problem for the hyperbolic differential equation of the forth order with nonmultiple characteristics. We generalize this problem from the similar Cauchy problem for the hyperbolic differential equation of the third order with ...
Aleksandr A Andreev, Julia O Yakovleva
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D'Alembert formula on finite one-dimensional networks
Journal of Mathematical Analysis and Applications, 2003 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cattaneo, C, Fontana, L
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Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2016 In the paper the problem of Cauchy is considered for the hyperbolic differential equation of the n-th order with the nonmultiple characteristics. The Cauchy problem is considered for the hyperbolic differential equation of the third order with the ...
Aleksandr A Andreev, Julia O Yakovleva
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A matrix D'Alembert formula for coupled wave initial value problems
Computers & Mathematics with Applications, 1998 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jódar, L., Goberna, D.
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Structure of Solutions to Linear Evolution Equations: Extensions of d'Alembert's Formula
Journal of Mathematical Analysis and Applications, 1996 The authors start from a factored equation \(\prod^N_{j=1} ({d\over dt}- A_j)u(t)=0\) with commuting generators \(A_j\) and the corresponding d'Alembert formula for the solutions \(u(t)= \sum^N_{j=1} e^{tA_j}x_j\). They find the appropriate generalization in the case of nonautonomous and inhomogeneous equations. Interesting examples are given.
Goldstein, Gisèle Ruiz +2 more
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Spectral Approach to Derive the Representation Formulae for Solutions of the Wave Equation
Journal of Applied Mathematics, 2012 Using spectral properties of the Laplace operator and some structural formula for rapidly decreasing functions of the Laplace operator, we offer a novel method to derive explicit formulae for solutions to the Cauchy problem for classical wave equation in
Gusein Sh. Guseinov
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Construction of algebraic-analytic discrete approximations for linear and nonlinear hyperbolic equations in R^{2}. Part I [PDF]
Opuscula Mathematica, 2007 An algebraic-analytic method for constructing discrete approximations of linear hyperbolic equations based on a generalized d'Alembert formula of the Lytvyn and Riemann expressions for Cauchy data is proposed.
Mirosław Luśtyk, Mykola Prytula
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Computer Graphics Forum, EarlyView.Abstract We introduce mixed super‐circles, a position‐curvature formulation of the original dynamic 2D super‐helix model. Compared to the latter, purely curvature‐based model – the so‐called chained formulation –, the mixed formulation that we propose here drastically reduces the algorithmic complexity of the solving scheme – from quadratic to quasi ...
Emile Hohnadel +2 more
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Weak Solutions for a Class of Nonlocal Singular Problems Over the Nehari Manifold
Mathematical Methods in the Applied Sciences, Volume 49, Issue 11, Page 12360-12378, 30 July 2026.ABSTRACT In this paper, we consider a nonlocal model of dilatant non‐Newtonian fluid with a Dirichlet boundary condition. By using the Nehari manifold and fibering map methods, we obtain the existence of at least two weak solutions, with sign information.
Zhenfeng Zhang +2 more
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