讨论了一类中立型时滞微分方程所有解的振动性，获得了临界状态下该方程所有解振动的一个充分条件。

Considering a kind of neutral delay differential equations, a sufficient condition for the oscillation of all solutions of neutral delay differential equation in critical state is obtained.

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本文主要利用拓扑度理论中的不动点定理和变分方法中的极小作用原理及其环绕形式的临界点定理在适当的条件下讨论了一类二阶椭圆边值问题的可解性。

The aim of this thesis is to study the existence of weak solutions for semilinear second order elliptic boundary value problems under suitable conditions through topological and variational methods.

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讨论了带变号扰动并且具有一定附加条件的临界椭圆方程的两个正解存在性。

This paper deals with the existence of two positive solutions for critical elliptic equations with a changed sign perturbation and with an auxiliary condition.

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