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One difficulty is related to the basic solution of the physical flow equations and involves choosing appropriate nonlocal open boundary conditions at the outflow boundaries which will adequately bound the computational domain while providing information about the virtual flow behavior outside.
In this paper, we adopt the K-best solution with fixed complexity as the basic solution of the SD.
In part 1, we deduce the exponential stability of the basic solution of the homogeneous equation of (2.1), and in part 2, we employ the fixed point principle to discuss the case of the nonhomogeneous equation.
In Section 3, based on the basic solution of the definite homogeneous fourth-order parabolic equation, by applying the fixed point theory we prove the existence, uniqueness, and pth moment exponential stability of hybrid stochastic fourth-order parabolic equations.
In this section, we will first deduce the exponential stability of the basic solution of the homogeneous equation of (2.1), and then we will use the fixed point principle to discuss the existence and uniqueness of the mild solution to (2.1) and prove the exponential stability results.
The LPT and SPT strategies are considered by Lamiri et al. as a constructive heuristic in order to calculate a basic solution of the planning problem [ 23].
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Supported NiMo/SBA-15 catalysts prepared by pore volume co-impregnation in acidic, neutral and basic solutions of the Ni and Mo precursor salts were characterized to evaluate the textural and structural changes caused by the method of preparation.
To investigate the effect of the basic solution on the morphology of the obtained materials, the morphologies of the synthesized materials were studied by field emission scanning electron microscopy technique.
Once again, heat and the basic solution of soap and water are the keys to loosening the seized breech plug.
Maldonado and co-workers have used a basic solution of GeO2 in the presence of a liquid Hg electrode, forming a supersaturated Ge amalgam in situ, from which crystalline Ge was obtained.
The basic solution of any SOFC operation is given by the reduction of the thermodynamic potential by utilising fuel and oxidant, similar to the cooling of a hot gas flow by extracting heat by a Carnot type engine.
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