利用微分不等式理论得到了问题解的渐近性态。

And the asymptotic behavior of solution for the problem is obtained by using the theory of differential inequality.

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利用微分不等式理论，得到了原初始边值问题解的一致有效的渐近解。

The uniformly valid asymptotic solution to the original initial boundary value problems was obtained by the theory of differential inequalities.

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适当的条件下，利用微分不等式理论，讨论了原边值问题解的存在性和渐近性态。

Under suitable conditions, using the theory of differential inequalities, the existence and asymptotic behavior of solution for the boundary value problems are studied.

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