积分判别法

给出了判定一类数列收敛的定理，并由此定理得到一系列结论：（1）级数敛散性的积分判别法；

The convergence theorem for a type of series is given , from which a number of conclusions are obtained such as ( 1 ) convergence and divergence of a series with integral test ;

证明了Directly-Riemann积分Dirichlet判别法和Abel判别法的必要性，而Directly-Riemann积分的Dirichlet判别法和Abel判别法充分性熊启才已有证明，由此说明这2个重要判别法不仅充分而且必要。

Necessary on Dirichlet and Abel distinguish methods of the Directly-Riemann integral is proved and its sufficient was proved by XIONG Qi-cai , therefore it shows that Dirichlet and Abel distinguish methods are not only sufficient but also necessary .

在众多情况下它可以取极限形式。这一微分判别法也是一般函数项级数和无穷限反常积分的判别法。

This differential test is also a test of the series of functions and one of the infinite integral .

本文所考虑的是二阶非定常系统稳定性的积分不等式判别法。

In this paper we shall discuss the criteria of stability for second-order linear nonautonomous , systems using the integral inequality .

无穷积分的比值判别法及其推论

Ratio Test for Infinite Integral and Its Corollary

本文提出了一个无穷限积分条件收敛的判别法。

This article deals with the method of the determination of convergence of infinite integral .