The phrase "a class of initial" is not correct in standard written English.
It seems to be an incomplete or unclear expression, and without additional context, its intended meaning is ambiguous.
Example: "In our study, we examined a class of initial responses to the survey questions."
Alternatives: "a category of initial" or "a type of initial".
The method is demonstrated for a class of initial data such that outside the computational domain it behaves like a continuous-wave.
Besides kinematics, for a prescribed final part shape, schemes to optimize a preform shape out of a class of initial configurations and also to define the evolution of shapes and boundary tractions were developed.
We construct a class of initial values for which the corresponding solution is global and decays as t→∞, like t−N2 if ℑλ="0 and like (tlogt)−N2 if Iλ<0.
For a class of initial value problems, whose solution is known to be described by free oscillations or free oscillations of high frequency with forced oscillations of low frequency superimposed, the new pair seem to offer clear advantages with respect to older pairs.
Recently, Lan and Cui [15] studied a class of initial value problems of nonlinear first-order implicit impulsive integro-differential equations in Banach space.
In this paper, sufficient conditions for the existence and uniqueness of solution are studied for a class of initial value problem of fractional order, involving the Caputo-type derivative of a hypergeometric fractional operator applying fixed point theory.
In this paper we are interested in a rigorous analysis of the solution of a class of initial-value problems with singularities.
In this paper, we propose practical numerical methods for solving a class of initial-boundary value problems of space-time fractional advection-diffusion equations.
In this paper an integral transform approach for solving a class of initial-boundary-value problems involving linear stochastic partial differential equations (SPDEs) encountered in engineering mechanics applications is presented.
In this paper, we examine a practical numerical method which is second-order accurate in time and in space to solve a class of initial-boundary value fractional diffusive equations with variable coefficients on a finite domain.
They also derived out the representation of the solutions for a class of linear initial valued IDEs.
