The uniformly valid asymptotic expansion of solution for the problem is obtained.

得到了问题解的一致有效的渐近展开式。

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Thus, the fully asymptotic expansion of the homogeneous solution within the accuracy of theory of thin shells is obtained.

这样，轴对称正交异性圆环壳的齐次解第一次有了达到薄壳理论精度的完全的渐近展开。

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The existence and stability of periodic solution are studied by using the bifurcation theory, linear stability theory and the method of asymptotic expansion.

运用分歧理论、固有值的解析摄动理论和渐近展开的方法，获得了共存时间周期解的存在性和稳定性。

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