By using a well-known fixed point index theorem, we obtain the existence, multiplicity and nonexistence of positive periodic solution(s) to this equation.

利用一个著名的不动点指标定理，获得了该方程周期正解的存在性、多重性和不存在性。

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S: the process to get the solution of equation.

生：求方程的解的过程叫做解方程。

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Two kinds of mathematical expressions of stock price, one of which based on certain description is the solution of the simplest differential equation(S. D. E. )

在系数的某种等价关系条件下，股价的两类数学表达式，一类是基于明确型描述的由类似固体力学方法导出的最简微分方程（S.D.E。）

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As Mr Livio explains, Galois's achievement was to show that the structure of these symmetries determines whether the equation has a simple solution.

ECONOMIST: The history of mathematics