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The strength condition is a classical condition applied to the theory of beams for assumed allowable stress.
The stability condition serves also as a classical condition for lateral buckling, taking the warping torsion into account.
The following coercive condition is a classical condition introduced by Rabinowitz and his co-author [20].
According to the data, enrolled patients were found to be in a classical condition of oxidative stress.
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The following growth condition is a classical superquadratic condition known as the ((AR)) condition.
This condition is a generalization of the classical condition (1.10).
The nonlocal condition, which is a generalization of the classical condition, was motivated by physical problems.
Moreover, when dealing with superlinear problem, one usually needs a growth condition together with the following classical condition which was introduced by Ambrosetti and Rabinowitz in [16].
For instance, AcrB still crystallised at concentrations of C12M a hundred times higher than in the classical condition.
Indeed, they deal with a monotone (either order-preserving or order-reversing) mapping satisfying, with some restriction, a classical contractive condition, and such that for some, either or, where is a self-map on metric space.
In fact, these results deal with a monotone (either order-preserving or order-reversing) self-mapping T satisfying, with some restrictions, a classical contractive condition and such that for some x 0 ∈ X, either x 0 ⪯ T x 0 or T x 0 ⪯ x 0. The first result in this direction was given by Ran and Reurings [[11], Theorem 2.1].
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com