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Selçuk Journal
of
Applied Mathematics
SPECIAL ISSUE
Summer-Autumn, 2003
Volume 4
Number 2
Research Center
of
Applied Mathematics
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SJAM
Summer-Autumn 2003, Volume 4 - Number 2
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Volterra
integral equation method for solving some hyperbolic equation
problems |
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Valery G. Yakhno, Ali Işık |
Department of Mathematics, Faculty of Arts and Sciences,
Dokuz Eylul
University,
Buca, 35160, Izmir, Turkey;
email :
valery.yakhno@deu.edu.tr ;
a.isik@deu.edu.tr ;
Received: October 30, 2003
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Summary. The Cauchy problem for a hyperbolic
equation with function coefficients of the first partial derivatives
with respect to time and space variables is considered. It is proved
by Sobolev's method that solution of this problem satisfies a 3-D
Volterra integral equation. Using this fact the uniqueness theorem
for an inverse problem is proved. |
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Key
words
hyperbolic equation of the second order, Cauchy problem, Volterra
integral equation, inverse problem.
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Mathematics Subject Classification (2000): 35L15, 35R30,
49D05
*
This research was supported research grant of DEU, project
03.KB.FEN.049.
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Article
in PS format (360 kb) |
Article in ZIP
format (175 kb) |
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