Affiliation:
1. Belarusian State University; Institute of Mathematics of the National Academy of Sciences of Belarus
2. Belarusian State University
Abstract
In this paper we obtain a classical solution of the one-dimensional wave equation with conditions on the characteristics for different areas this problem is considered in. The analytical solution is constructed by the method of characteristics. In addition, the uniqueness of the obtained solution is proved. The necessity and sufficiency of the matching conditions for given functions of the problem are proved. When these conditions are satisfied and the given functions are smooth enough, the classical solution of the considered problem exists.
Publisher
Publishing House Belorusskaya Nauka
Subject
Computational Theory and Mathematics,General Physics and Astronomy,General Mathematics
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