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Moreover the least solution of (1.1) in is given by (3.3).
Claim 3. is the least solution of (1.1) in and is the greatest one.
In an analogous way we obtain the least solution of the problem in ([alpha,beta]).
To obtain the least solution of problem (1.1) in ([alpha,beta]) we must redefine operator T, considering the least solution of auxiliar problem ((P_{gamma})) instead of the greatest one, and reasoning like above.
The existence of the least solution of (2.1) in [ σ 1, σ 2 ] follows from a proper redefinition of the operator G. □.
On the other hand, the above assumptions imply that the extremal solutions of (1.1) are given as the infimum of all upper solutions and the supremum of all lower solutions, that is, the least solution of (1.1) is given by (2.2). and the greatest solution is (2.3).
Similar(54)
Similar to the definition of the least energy solution of ( E λ ), we can define the least energy solution of (D) which will be given in Section 4.
But it's the least imperfect solution of them all".
When even a shower fails, I fall back on the least relaxing solution of all: I panic.
The proposed technique consists of eigenvalue parametrization followed by least squares solution of the parametrized problem.
One is based on phenomenological model of the motor and least squares solution of an overdetermined set of linear equations.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com