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.
本文利用不动点理论，给出了一类非线性延迟积分方程正的概周期型解的存在性条件。
In this paper, we give the conditions of existence of positive almost periodic type solutions for some nonlinear delay integral equations.
在2—距离空间中减弱映射的连续性条件下，给出了扩张映射的不动点定理及扩张映射对的公共不动点定理。
The fixed point theorems for expansion mappings and the common fixed point theorem for a pair of mappings are given in 2 metric spaces under the condition of weakening mappings continuance.
利用两点拉伸型不动点定理给出一阶时滞差分方程周期解存在性的充分条件。
Based on the fixed point theorem of two-point extension type, sufficient conditions are derived for the existence of positive periodic solutions of delay difference equations.
运用不动点定理，研究了一类带积分边界条件的二阶微分方程三个正解的存在性。
By using fixed point theory, in this paper we study the existence of triple positive solutions for a class of second-order differential equations with integral boundary conditions.
保留锥P为正规锥，将增算子A减弱为弱连续。空间E减弱为弱完备，在条件减弱的情况下，仍然得到了增算子不动点的存在性。
In this paper, we retains the cone P normal cone, increasing operator A weaken the weakly continuous operator, space E weaken the weak complete space.
保留锥P为正规锥，将增算子A减弱为弱连续。空间E减弱为弱完备，在条件减弱的情况下，仍然得到了增算子不动点的存在性。
In this paper, we retains the cone P normal cone, increasing operator A weaken the weakly continuous operator, space E weaken the weak complete space.
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