Results 141 to 144 of about 175 (144)
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d’Alembert-type formula for transverse oscillations of an infinite rod consisting of two segments with different densities

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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A d’Alembert-type formula for longitudinal oscillations of an infinite rod consisting of two segments with different densities and elasticities

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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Generalized d'Alembert formula for the telegraph equation

Итоги науки и техники Серия «Современная математика и ее приложения Тематические обзоры», 2021
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