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Title of Article

AN ESTIMATE OF THE SOLUTION INCREMENT IN THE CAUCHY PROBLEM FOR THE WAVE EQUATION AT THE VARIATION OF THE LEADING COEFFICIENT


Issue
2
Date
2009

Section
MATHEMATICS

Article type
scientific article
UDC
517.95
Pages
125-127
Keywords
wave equation, Cauchy problem, solution increment, variable leading coefficient


Authors
Belyaeva O.A.
Nizhegorodskiy gosuniversitet im. N.I. Lobachevskogo


Abstract
A Cauchy problem is considered for the one-dimensional wave equation with an absolutely continuous timedependent coefficient for the second spatial derivative. An estimate is given of the solution increment in the Cauchy problem at the variation of the leading coefficient.

File (in Russian)