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D'ALEMBERT FORMULA AND THE DIRECT OR INVERSE PROBLEMS FOR WAVE EQUATION

Acta Mathematica Scientia, 1990
Summary: 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 ...
Liu Ru-xun
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Generalized d'Alembert formula for the telegraph equation

Итоги науки и техники Серия «Современная математика и ее приложения Тематические обзоры», 2021
И. С. Ломов
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On The Solutions of Wave Equation in Three Dimensions using D'alembert Formula

International Journal of Mathematics Trends and Technology, 2017
Mustafa A Sabri, Maan A Rasheed
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d’Alembert Formula for Poroelasticity System Described by Three Elastic Parameters

Journal of Mathematical Sciences, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Rakhimov, Abror M., Imomnazarov, Kholmatzhon Kh.   +1 more
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Analytical transient analysis of temporal boundary value problems using the d’Alembert formula

Optics Letters, 2021
Temporal 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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D’Alembert Formula for Diffusion-Wave Equation

Lobachevskii Journal of Mathematics, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Optimization of Parameters in the Generalized D’alembert Formula for a Function of Two Variables

Cybernetics and Systems Analysis, 2021
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Sergienko, I. V., Lytvyn, O. M., Lytvyn, O. O., Tkachenko, O. V., Biloborodov, A. A.   +4 more
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Generalized d’Alembert Formula for the Wave Equation with Discontinuous Coefficients

Differential Equations, 2019
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Anikonov, D. S., Konovalova, D. S.
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A D’Alembert Formula for Flat Surfaces in the 3-Sphere

Journal of Geometric Analysis, 2009
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Aledo, Juan A., Gálvez, José A., Mira, Pablo   +2 more
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On the Solution Theory of Factored Cauchy Problems and the Abstract d'Alembert's Formula

SemiGroup Forum, 2000
The 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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