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A Linear Dynamical System Associated To Wave Equation

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PDE and ODe system

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In this paper i try to associate a linear dynamical system dX/dt=AX to the PDE wave equation.So i discretize the space to step h,and set the limited develpment.it is well application also for spherical wave.J.C Willems gives good standing from ODE to PDE,and From PDe to ODE.

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