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A suitable Taylor expansion offers an approximation of the utility function by a quasilinear function.
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The toe region is followed by a quasilinear region where collagen fibres reversibly deform.
The time-dependent elastic behavior is modeled by a quasilinear viscoelastic model to describe the sigmoidal shape stress-strain relationship for both Nephila clavipes and Argiope aurantia spider silk in spite of the difference in maximum stress and strain levels.
Diagonal operators also appears by the linearization of a quasilinear differential equations.
Very recently, Zhou [10] considered the initial boundary value problem for a quasilinear parabolic equation with a generalized Lewis function which depends on both spacial variable and time.
To achieve that, they define the nonlinear pressure using the hyperbolic tangent function and solve the model with a "quasilinear" iterative method in frequency domain.
The asymptotic behavior and energy decay of the solutions for a quasilinear viscoelastic problems were studied by many authors [20 22], and Kang [23] proved the exponential decay for quasilinear von Karman equation with memory.
In [27], the existence and uniqueness of the classical solutions for the initial value problems and the first boundary problems of a quasilinear wave equation are proved by the Galerkin method.
A quasilinear PDE was attained due to the logarithmic transformation of the value function, though the equation was difficult to solve.
Cencelj and Repovs̆ studied the perturbation by a critical term and a superlinear subcritical nonlinearity of a quasilinear elliptic equation containing a singular potential in [24].
As matter of fact, messenger RNA exists in a quasilinear molecular configuration which is easily hydrolyzed by the resident RNases.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com