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After finding maximal and minimal solution thresholds of a nonlinear problem, an approximate solution of the nonlinear equation can be easily achieved using He Chengtian's interpolation.
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A minimal solution is the one that minimizes the summed changes of the 5 variables.
Since is a weakly minimal solution of,.
Then is a weakly minimal solution of.
We now show that is a weakly minimal solution of.
Assume that is not a weakly minimal solution of.
If is a weakly minimal solution of, then (4.13).
and is the minimal solution of this equation.
It is shown that in the isothermal case, the maximal (minimal) solution has the minimal (maximal) effectiveness factor while in the non-isothermal case, the maximal (minimal) temperature solution has the maximal (minimal) effectiveness factor.
It is obvious that this minimal solution is a global solution, since the particle always travels inertially.
Under the hypotheses (H1)–(H4), the IVP (3.4) has the minimal solution and maximal solution in.
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