The phrase "a class of implicit" is not correct as it stands and lacks clarity in written English.
It may be used in contexts discussing categories or types of implicit concepts, but it requires additional context to be meaningful.
Example: "In our study, we identified a class of implicit biases that affect decision-making processes."
Alternatives: "a category of implicit" or "a type of implicit".
In this paper, we consider design of observers for a class of implicit systems.
A class of implicit finite element upwind schemes for solving Euler equations is presented.
Next, a class of implicit factorized schemes, which require scalar matrix inversions, is presented.
This paper deals with the problem of observer design for a class of implicit nonlinear systems of index one.
A class of implicit, yet explicitly implementable, numerical schemes is obtained by substituting a Maxwellian distribution in place of the high order terms in the expansion.
Under the same assumptions, we prove that a class of implicit, A-stable Runge Kutta semidiscretizations in time of such equations are smooth as maps from open subsets of the highest rung into the lowest rung of the scale.
Rosenbrock methods are a class of linear implicit methods for solving such stiff systems of ODEs.
This paper studies the stability of the solution for a class of quasilinear implicit dynamic equations on time scales of the form.
Recently Huang et al. (Math. Comput. Model. 43 1267-1274, 2006 introduced a class of parametric implicit vector equilibrium problems (for shortPIVEP) and they presented some existence results for a solution of PIVEP.
In this paper, we investigate four different types of Ulam stability, i.e., Ulam-Hyers stability, generalized Ulam-Hyers stability, Ulam-Hyers-Rassias stability and generalized Ulam-Hyers-Rassias stability for a class of nonlinear implicit fractional differential equations with non-instantaneous integral impulses and nonlinear integral boundary condition.
The aim of this paper is to establish sufficient conditions for the existence, uniqueness and Ulam-type stability for a class of nonlinear implicit fractional differential equations with non-instantaneous integral impulses and nonlinear integral boundary condition, via generalized Diaz-Margolis's fixed point theorem.
