Results 101 to 110 of about 116 (113)
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d’Alembert Formula for Poroelasticity System Described by Three Elastic Parameters
Journal of Mathematical Sciences, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Rakhimov, Abror M. +1 more
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Analytical transient analysis of temporal boundary value problems using the d’Alembert formula
Optics Letters, 2021Temporal boundary value problems (TBVPs) provide the foundation for analyzing electromagnetic wave propagation in time-varying media. In this paper, we point out that TBVPs fall into the category of unbounded initial value problems, which have traveling wave solutions.
Wending Mai, Douglas H. Werner
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Generalization of the d'Alembert formula and the Fourier method
Semigroup Forum, 1999zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yakubov, Sasun, Yakubov, Yakov
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D’Alembert Formula for Diffusion-Wave Equation
Lobachevskii Journal of Mathematics, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A D’Alembert Formula for Flat Surfaces in the 3-Sphere
Journal of Geometric Analysis, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Aledo, Juan A. +2 more
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Generalized d’Alembert Formula for the Wave Equation with Discontinuous Coefficients
Differential Equations, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Anikonov, D. S., Konovalova, D. S.
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D'ALEMBERT FORMULA AND THE DIRECT OR INVERSE PROBLEMS FOR WAVE EQUATION
Acta Mathematica Scientia, 1990Summary: A new proof of the D'Alembert formula for Cauchy problems for the wave equation is proposed. Some D'Alembert-type formulas for a Cauchy problem with discontinuous coefficients or a semi-infinite initial boundary value problem are proposed. The characteristic methods for the direct and inverse problems of the stress wave equation for a uniform ...
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On the Solution Theory of Factored Cauchy Problems and the Abstract d'Alembert's Formula
SemiGroup Forum, 2000The paper deals with the mild solutions of \(n-\)th order factored (or iterated) abstract Cauchy problems in the following sense. Considering on the Banach space \((X,\|\cdot\|)\) a sequence \(A_1,\dots,A_n\) of infinitesimal generator of the semigroups \((T_1(t))_{t\geq 0},\dots, (T_n(t))_{t\geq 0}\) respectively.
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Doklady Mathematics, 2009
The author continues earlier studies of longitudinal oscillations and now examines transverse oscillations. He seeks solution to the Cauchy problem for discontinuous wave equation. This solution belongs to \(W^2_{2, loc} \) class in each of quadrants \({x \leq 0, t \geq 0}, {x \geq 0, t \geq 0}\) and satisfies the conjugation conditions and initial ...
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The author continues earlier studies of longitudinal oscillations and now examines transverse oscillations. He seeks solution to the Cauchy problem for discontinuous wave equation. This solution belongs to \(W^2_{2, loc} \) class in each of quadrants \({x \leq 0, t \geq 0}, {x \geq 0, t \geq 0}\) and satisfies the conjugation conditions and initial ...
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Doklady Mathematics, 2009
The author seeks solution to the Cauchy problem for discontinuous wave equation. This solution belongs to \(W^2_{2, loc} \) class in each of quadrants \({x \leq 0, t \geq 0}, {x \geq 0, t \geq 0}\) and satisfies the conjugation conditions and initial conditions at any moment \(t\geq 0\) and for any \(x\).
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The author seeks solution to the Cauchy problem for discontinuous wave equation. This solution belongs to \(W^2_{2, loc} \) class in each of quadrants \({x \leq 0, t \geq 0}, {x \geq 0, t \geq 0}\) and satisfies the conjugation conditions and initial conditions at any moment \(t\geq 0\) and for any \(x\).
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