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The negative solution was more of a mystery; it seemed to describe electrons with positive rather than negative charge.
This solution gives a negative solution to the 10th problem in the famous list presented by Hilbert at the International Mathematical Congress in 1900.
If (19) holds, then we obtain a negative solution.
(3) The inequality (3.3) has an eventually negative solution.
In case is a frequently negative solution of (1.6), then.
A similar argument gives a negative solution of system (1.1).
Similar(10)
Thus our problem (21) has a unique non-negative solution.
Let w be a non-negative solution of (1.1).
Then equation (1.3) has a non-negative solution.
But the Riccati equation has a non-negative solution only when γ−2 is small enough.
On getting one non-negative solution, we can modify the argument from [26].
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Justyna Jupowicz-Kozak
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