Construction of a generalized solution of a mixed problem for the telegraph equation: sequential and axiomatic approaches

DOI10.1134/S00122661220110040zbMath1506.35038OpenAlexW4316088105MaRDI QIDQ2111795

I. S. Lomov

Publication date: 17 January 2023

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s00122661220110040

zbMATH Keywords

nonlocal boundary conditionlinear homogeneous equationrapidly converging function series

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Series solutions to PDEs (35C10)

Cites Work

• Unnamed Item
• On the convergence of the formal Fourier solution of the wave equation with a summable potential
• Resolvent approach in the Fourier method
• Necessary and sufficient conditions for the existence of a classical solution of the mixed problem for the homogeneous wave equation with an integrable potential
• Classical and generalized solutions of a mixed problem for a nonhomogeneous wave equation

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