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If (h_{0}=h_{1}=0), (h_{2}), (h_{3}), (h_{4}) are arbitrary constants, the system does not admit any solution of this group.
Yet even he admits this is a short-term solution to Brazil's problem.
However, he admitted this was just a temporary solution, AP says.
Obviously, equations (19) admit a solution (psi_{alpha }^{1,2}=0).
Equations (1) admit a solution (psi=0), (u=0), which refers to the normal phase.
A model that does not admit periodic solutions, for this reason, is not an adequate representation of the system of interest.
The system does not admit solutions of this group.
The second problem does not admit any optimal solution except for L="1/2.
So, F does not admit a positive solution.
First we consider system of a general form and estimate its solutions by use of a solution of an auxiliary scalar difference inequality assuming that this solution admits certain properties.
A modification of Paris and Vinogradov (2016, formula (4.4) and footnote 2) implies that this solution admits the following representation in terms of the "reduced" Wright function ϕ introduced by formula (5): t_{s0}(w) = left{ w - log~left int_{0}^{infty} frac{e^{-w y}}{y (1 + y)}phi left -frac{r}{r + 1}, 0; - frac{1 + y}{y^{r/(r + 1)}}right) dyright) right}^{1/(r + 1)}.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com