On a class of Differential Equations whose solutions satisfy Integral Equations
On a class of Differential Equations whose solutions satisfy Integral Equations
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关于一类解满足积分方程的微分方程
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影响因子：
0.7
通讯作者：
Edmund Taylor Whittaker
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作者：
Edmund Taylor Whittaker
借助于从函数论中借来的思想，微分方程的解的科学在很大程度上已经系统化了，方程是根据其解所具有的奇异性来分类的。在二阶线性微分方程的情况下，除了在函数q（x）和r（x）的奇点处（也可能在x = ∞处），解可以没有奇点：因此，这些方程可以简单地根据这些奇点的数量和性质来分类。
The science of the solution of Differential Equations has been in great measure systematized by the aid of ideas borrowed from the Theory of Functions, the equations being classified according to the singularities possessed by their solutions. In the case of linear Differential Equations of the second order the solutions can have no singularities except at the singularities of the functions q(x) and r(x) (and possibly also at x = ∞ ): these equations may therefore be classified simply according to the number and nature of these singularities.