CLASSICAL SOLUTION OF THE MIXED PROBLEM FOR THE WAVE EQUATION WITH THE INTEGRAL CONDITION
Abstract
The mixed problem with the integral condition for the wave equation is considered in the one-dimension case. Existence and uniqueness of the classical solution is proved under certain smoothness and consistency conditions. For numerical solution of a given problem the simple second-type Voltaire integral equations should be solved.
About the Authors
V. I. Korzyuk
Institute of Mathematics of the National Academy of Sciences of Belarus
Belarus
Academician, D. Sc. (Physics and Mathematics), Professor
Belarus
Academician, D. Sc. (Physics and Mathematics), Professor
I. I. Stolyarchuk
Belarusian State University
Belarus
Master of Physics and Mathematics, Postgraduate student of the Mathematical Cybernetics Department of the Mechanics and Mathematics Faculty
Belarus
Master of Physics and Mathematics, Postgraduate student of the Mathematical Cybernetics Department of the Mechanics and Mathematics Faculty
References
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4. Korzyuk V. I. Equations of mathematical physics. Minsk, Belarusian State University Publ., 2011. 459 p. (in Russian)
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