A new way of constructing a generalized solution to a mixed problem for a telegraph equation

DOI10.3103/S0278641922030074zbMath1503.35062OpenAlexW4312303443MaRDI QIDQ2107855

I. S. Lomov

Publication date: 5 December 2022

Published in: Moscow University Computational Mathematics and Cybernetics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s0278641922030074

zbMATH Keywords

divergent seriesbiorthogonal system of functionsnon-self-adjoint operatorgeneralized d'Alembert formulaterm-by-term integration of series

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Wave equation (35L05) Series solutions to PDEs (35C10)

Related Items (1)

Divergent series and generalized mixed problems for heat conduction and Schrödinger equations of the simplest form

Cites Work

• Unnamed Item
• Necessary and sufficient conditions for the existence of a classical solution of the mixed problem for the homogeneous wave equation with an integrable potential
• Effective application of the Fourier technique for constructing a solution to a mixed problem for a telegraph equation
• Classical and generalized solutions of a mixed problem for a nonhomogeneous wave equation

This page was built for publication: A new way of constructing a generalized solution to a mixed problem for a telegraph equation