Mathematical Theory and Modeling
ON STABILITY AND SOME STATISTICAL PROPERTIES TO THE DYNAMIC SOLUTIONS OF DAMPED WAVE EQUATION
Abstract
in this paper we discuss and study stability of damped wave equation take the formula
utt = c2uxx -ɣut (1)
using the concept of “ Lypunove stability” , and we study some statistical properties to explain its dynamic behavior after solving it using separation of variable and turn it into a probability density function (pdf) in order to calculate the first and second moment and then the variance.
Key words asymptoticallystable, dynamic solution , statistical property , damped wave equation.
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ISSN (Paper)2224-5804 ISSN (Online)2225-0522
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