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In this paper, we clearly study the properties of the Hermite positive definite solutions of a nonlinear matrix equation. The existence of the Hermitian positive definite solutions of the equation are given, which improves the results in [1].
In this paper, we clearly study the properties of the Hermite positive definite solutions of a nonlinear matrix equation and improve a result. We get that if a condition is satisfied, all eigenvalues of the Hermite positive definite solutions of the equation locate in a range.
In this paper, the uniqueness of the weak solutions of the three-dimensional infiltration problem is proved with reduction to absurdity by constructed a special text function.
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