subsolution

The supersolution and subsolution theorems for the equation are established . The conclusions generalize and unify the relevant results in ordinary differential equations , partial differential equations and abstract space differential equatins .

建立了该方程解存在的上、下解定理，所得结果概括和统一了常微分方程，偏微分方程及抽象微分方程中的有关结果。

This paper points out that theorem 9.7 in document [ 1 ] on estimates of the maximum of solution of quasilinear elliptic equations can extend to equations in the form of ( 1 ) on estimates of the maximum of subsolution of non-linear elliptic equations .

本文指出文献[1]中定理9.7关于拟线性椭圆型偏微分方程解的极大值的估计，可以扩充到形如（1）的非线性椭圆型偏微分方程下解的最大值的估计。

Existence and multiplicity of periodic solutions are obtained by using cone mapping theory and supersolution and subsolution method for second order ordinary differential equations in ordered Banach spaces .

利用锥映射的拓扑度理论与上、下解方法获得了有序Banach空间中二阶常微分方程周期边值问题的多解存在性定理。

In this paper , A new results of the sufficient and necessary condition of existence of global solution to a class of nonlinear parabolic systems are given by using method of supersolution and subsolution .

本文应用上下解方法，给出一类非线性抛物方程组整体解存在的充分必要条件的新结果。