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Under some natural regularity and consistency conditions on the input data, the existence, uniqueness and continuous dependence upon the data of the solution are shown.
Under some natural regularity and consistency conditions on the input data, the existence, uniqueness, convergence of the weak generalized solution, and also continuous dependence upon the data of the solution are shown by using the generalized Fourier method.
In this study, we prove the existence, uniqueness convergence of the weak generalized solution, continuous dependent upon the data of the solution; and we construct an iteration algorithm for the numerical solution of this problem.
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This study presents the impact of uncertain data on the solution obtained by using a superstructure-based optimization approach in synthesis and design of biorefinery processing networks.
Finally, we prove the uniqueness and continuous dependence of the initial data of the solutions.
The numerical data of the solutions (45 - 47 45 - 47 is obtained whichthe help of Mathematisa, have been discussed throbtainedphs.
The investigation in [1] showed that the continuous dependence on the initial data of the solutions to the compressible Navier-Stokes equations with vacuum failed.
In this section, we will present some results on the boundedness, uniqueness, and continuous dependence on initial data of the solutions of the Volterra-Fredholm type difference equation shown in (1).
The pressure and the temperature coefficients of the solubility were thermodynamically estimated using relevant data of the solute and the solution in literature.
We present the orbit determination results, focusing on the benefits of adding GPS data to the solution.
Resetting fixed mutant allele frequencies in this manner caused difficulties in calling trajectories that would not be encountered with biological sequence data; details of the solution applied in this instance are given in Supporting Information, File S1.
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