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In this work, we recall the method of existence of a solution by the upper and lower solution methods, which guarantees the interval of existence.
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The concentrations of extractant were studied and optimized by ultrasonic method in terms of existence of different intermolecular interaction explaining the various acoustic parameters with their deviated values.
Based on the method of semigroups, the existence and uniqueness of mild, strong and classical solutions of semilinear evolution equations were discussed by Pazy [1].
It has been emphasized (Kristeller 1964, 120) that Patrizi's selection of light as the basis of his initial "Aristotelian" method of establishing the existence of God as "First Light" involves a departure from an Aristotelian approach in favor of a more Platonic one, although this has been called into question (Ryan 2002, 192-195).
The demon gives them an elixir of immortality and the method of ending their existence, by "devouring" one another, and grants the summoner Maiza Avaro the formula of the elixir.
On the other hand, the constructive method is dynamical, independent of existence and normalization of stationary distribution.
By the combination of the Galerkin method and the monotonicity-compactness method, the existence of global solutions is obtained with the least amount of a priori estimates.
In particular, in [6], by critical point method, the existence of periodic and subharmonic solutions of equation (1.5).
Furthermore, by an SOS-based method the existence of the proposed controller is given in terms of the solvability of polynomial matrix inequalities (PMIs), which are formulated as SOS constraints and can be solved by the recently developed SOS solvers.
On the basis of fixed point theorems and successive iteration method, the existence of positive solutions was obtained.
The biocatalyst immobilization method, the existence of internal and external mass transfer limitations, the effect of the initial pH and the reuse of immobilized yeasts were particularly evaluated.
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