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This set of equations is a system of second order differential equations with time dependent coefficients.
A system of second order equations with weak quadratic and cubic non-linearities is considered.
The system of second order differential equations is transformed into a system of first order differential equations.
Applying the Fourier transformation with respect to space variables to these equations, we obtain a system of second order ordinary differential equations whose coefficients depend on Fourier parameters.
To design a stochastic estimator for online estimation of Wiener system of second order, this paper utilizes differential mean value theorem and the results of stochastic contraction theory.
Then, the time response problem solution is reduced to a simpler system of second order linear differential equations decoupled in the modal space of the undamped problem.
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The result is a system of second-order strongly degenerate parabolic hyperbolic convection diffusion equations.
The problem is described by a coupled system of second-order elliptic partial differential equations.
Penalty-based numerical formulation for the moving beam results in a system of second-order differential equations with periodic coefficients.
So it is small wonder that MPs have followed his lead with their own unseemly demands for public reimbursement and shocking system of second-home scams.
The resulting system of second-order ordinary differential equation with harmonically varying coefficients is solved using the method of harmonic balance.
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