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Using an energy formulation, we derive differential equations that are designed to minimize the skin's surface area, mean curvature, or convex combination of both.
We derive differential inequalities and difference inequalities for Riesz means of eigenvalues of the Dirichlet Laplacian,Rρ z):= ∑k z−λk)+ρ.
To this end, a hexagonal fiber-array model containing a broken fiber is considered in order to derive differential equations based on a shear lag model.
The methods of this section can also be used to derive differential equations for the characters of a certain class of irreducible representations of (mathfrak {gl}(U) simeq mathfrak {g}^{(0)}).
In our prior work [34], we introduce analog rank filters in arbitrary time windows and derive differential and integro-differential equations that enable their implementation in analog feedback circuits.
Since the membrane transfer function is described by an extremal function and its transforms under the symmetry group and since the extremal functions are preserved under this action, it is possible to derive differential equations for the output of the signal.
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The derived differential equations were solved numerically using the finite difference representation.
Differential quadrature (DQ) method is utilized to solve the derived differential equations.
Recently, Cao et al. [1] derived differential Harnack estimates for positive solutions to (1.1) on Riemannian manifolds with nonnegative Ricci curvature.
The estimation of the mechanical properties is carried out through a comparison between the derived differential equations and appropriate elasticity models.
The solution of derived differential equation which we called as Boluk-Balavi dynamic filtration equation expressed the dynamic filtration data of muds perfectly well.
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