Construction of a Generalized Solution of a Mixed Problem for the Telegraph Equation: Sequential and Axiomatic Approaches

Under minimal conditions on the initial data of the mixed problem for the telegraph equation, a generalized solution is obtained in two different ways in the form of a rapidly converging function series—an analog of the well-known d’Alembert formula. The first approach is based on the sequential met...

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Veröffentlicht in:	Differential equations 2022-11, Vol.58 (11), p.1468-1481
1. Verfasser:	Lomov, I. S.
Format:	Artikel
Sprache:	eng
Schlagworte:	Axioms Boundary conditions Convergence Difference and Functional Equations Differential equations Mathematics Mathematics and Statistics Ordinary Differential Equations Partial Differential Equations
Online-Zugang:	Volltext
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