Results 11 to 20 of about 1,923 (164)
Research on One-to-Two Internal Resonance of Sling and Beam of Suspension Sling–Beam System
Buildings, 2023 An approach is presented to investigate the 1:2 internal resonance of the sling and beam of a suspension sling–beam system. The beam was taken as the geometrically linear Euler beam, and the sling was considered to be geometrically nonlinear. The dynamic
Lixiong Gu +5 more
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On Classic Solution of the Problem for a Homogeneous Wave Equation with Fixed End-Points and Zero Initial Velocity [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2019 The paper gives necessary and sufficient conditions of classic solution for a homogeneous wave equation with a summable potential, fixed end-point, and zero initial velocity.
Avgust Petrovich Khromov
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The fractional d'Alembert's formulas
Journal of Functional Analysis, 2019 In this paper we develop generalized d'Alembert's formulas for abstract fractional integro-differential equations and fractional differential equations on Banach spaces. Some examples are given to illustrate our abstract results, and the probability interpretation of these fractional d'Alembert's formulas are also given.
Li, Cheng-Gang +3 more
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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
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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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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
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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
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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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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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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
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