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The proposed conditions are derived through solutions of some types of Riccati differential equations.
The controller is designed through solutions of Diophantine equations in the ring of stable and proper retarded quasipolynomial meromorphic functions.
This study examines the diffusion of small methylated and hydroxylated siloxanes through solutions of polymer and crosslinker molecules.
The study is performed through solutions of Short-time Reynolds-Averaged Navier-Stokes equations (TRANS) with turbulence modelled by a two-equation k ω model.
However, the Fourier wavelet method developed here is more flexible and, in particular, applies to anisotropic spectra generated through solutions of differential equations.
Finally, we should note that the approach of Hörmander, namely using the Lax Milgram Lemma instead of passing through solutions of the (bar{partial } -Laplace Beltrami operator, does not necessarily produce the minimal solution, but it does produce a solution with the same estimate.
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As time advances, the possible movements of particles are computed through solution of the governing equations.
The radiated noise is predicted through solution of the Ffowcs Williams–Hawkings equation.
Both techniques are illustrated through solution of examples in this chapter.
The first line is headed by Raghuveer and Nikias [13], who have parametrized the bispectrum through solution of a cumulant matrix equation.
This deficiency is rectified earlier (briefly described and used later in the present analysis) through solution of an auxiliary bending problem (Vijayakumar 2013).
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