Generalized Laplace transform based on the differentiation operator with piecewise constant coefficients

DOI10.22405/2226-8383-2023-24-4-239-251MaRDI QIDQ6498976

N. Yaremko, O. E. Yaremko, Aleksandr Ivanovich Nizhnikov

Publication date: 8 May 2024

Published in: Chebyshevskiĭ Sbornik (Search for Journal in Brave)

zbMATH Keywords

matrix exponentiald'Alembert formulapiecewise homogeneous mediamatrix integral Fourier transform

Mathematics Subject Classification ID

Laplace transform (44A10) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38)

Cites Work

• A d'Alembert-type formula for longitudinal oscillations of an infinite rod consisting of two segments with different densities and elasticities
• Matrix integral Fourier transforms for problems with discontinuous coefficients and transformation operators
• Transformation operators and boundary value problems
• Transmutation Operators Boundary Value Problems
• Начальные задачи для системы волновых уравнений
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