Results 11 to 20 of about 1,923 (167)
Initial Value Problems for System of Wave Equations
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2009 We present solutions to the Cauchy problem and the Goursat problem for system of wave equations. Discharged analogue d'Alembert formula for system of wave equations.
S. V. Leksina
doaj +1 more source
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
doaj +1 more source
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
openaire +3 more sources
Kowalevski's analysis of the swinging Atwood's machine [PDF]
, 2009 We study the Kowalevski expansions near singularities of the swinging Atwood's machine. We show that there is a infinite number of mass ratios $M/m$ where such expansions exist with the maximal number of arbitrary constants.
Adler M +5 more
core +5 more sources
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 ...
openaire +2 more sources
Singular inextensible limit in the vibrations of post-buckled rods: Analytical derivation and role of boundary conditions [PDF]
, 2014 In-plane vibrations of an elastic rod clamped at both extremities are studied. The rod is modeled as an extensible planar Kirchhoff elastic rod under large displacements and rotations. Equilibrium configurations and vibrations around these configurations
GORIELY, Alain +2 more
core +6 more sources
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.
openaire +2 more sources
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
doaj +1 more source
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
openaire +1 more source
The fundamental theorem of algebra before Carl Friedrich Gauss [PDF]
, 1992 This is a paper about the first attempts of the demonstration of the fundamental theorem of algebra. Before, we analyze the tie between complex numbers and the number of roots of an equation of -n-th degree.
Pla i Carrera, Josep
core +3 more sources