In this paper we discussed the existence and uniqueness theorems for third-order boundary value problems, using the method of upper and lower solutions.
本文利用上、下解方法证明了两类三阶边值问题解的存在性和唯一性。
A kind of polynomial satisfying the displacement boundary conditions is designed, which makes it possible to evaluate the upper limit of fundamental freqrency by Ritz method.
文中还设计了一种能满足位移边界条件的多项式作为振型试函数，从而用里兹法得到相应的上限值。
The existence theorem of a class of periodic boundary value problems for first order nonlinear integrodifferential equations is obtained through the method of lower and upper solutions.
研究了一类纯量形式非线性积分微分方程周期边值问题，利用上下解法证明了解的存在性。
Thfi existence and uniqueness theorems of weak solutions of initial-boundary value problems for nonlinear degenerate parabolic systems were established by lower-upper solution method.
应用上、下解方法证明非线性退缩抛物型方程组初边值问题弱解的存在唯一性。
We obtain the existence of extremal solutions of the boundary value problem by using the method of lower and upper solutions coupled with monotone iterative technique.
研究一类四阶微分方程解的存在性，利用上下解及单调迭代的方法，得出这类四阶方程的最大解和最小解的存在。
The method of quasi-upper and lower solution for second order Neumann boundary value problems in Banach space;
本文利用上、下解方法证明了两类三阶边值问题解的存在性和唯一性。
The method of quasi-upper and lower solution for second order Neumann boundary value problems in Banach space;
本文利用上、下解方法证明了两类三阶边值问题解的存在性和唯一性。
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