Upper lower solutions method and monotone iterative technique are applied to initial value problem.
对于初值问题，采用上下解的单调迭代方法求解。
Using the method of upper lower solutions we construct two monotone sequences for the finite difference equations.
把上下解方法应用到相应有限差分系统上，得到两个迭代序列。
In this paper, by using generalized R-KKM type theorems in topological Spaces, some existence theorems of solutions for equilibrium problem with lower and upper bounds are obtained.
应用拓扑空间中的广义r -KK M型定理，对拓扑空间中有上下界的平衡问题，证明了解的存在性定理。
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。
The method of upper and lower solutions, coupled with the monotone iterative technique is a powerful tool for proving the existence of solutions of nonlinear systems.
单调迭代法与上、下解结合是证明非线性系统解的存在性的强有力的工具。
By constructing proper upper-lower solutions, the existence of travelling wave solutions was proved.
通过构造适当的上下解，证明行波解的存在性。
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。
By means of lower-upper solutions methods, theory of fixed point indices and local bifurcation theory, the conditions for multiplicity and uniqueness positive solutions of this system was obtained.
运用上下解方法，不动点指数理论，局部分歧理论，得出了该系统存在多个正解或惟一正解的条件，即参数对解的个数有一定影响。
The dynamics of coupled systems of semilinear parabolic equations are investigated using the method of upper and lower solutions. The asymptotic behavior of the solutio is given.
第二章用上下解的方法来研究耦合半线性抛物方程组的动力学行为，给出了解的渐近行为。
Methods The method of upper and lower solutions and the monotone iterative technique were used to establish our results.
方法应用单调迭代技术结合上下解方法讨论最大解与最小解的存在性。
The method of regularization and the technique of upper and lower solutions are employed to show the local existence and the continuation of the positive classical solution of the above problem.
运用正则化方法和上下解技巧证明了上述问题的古典正解的局部存在性及其可延拓性。
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。
Methods the upper-lower solutions, monotone derivative methods, the maximum principle, comparison principle and principal eigenvalue theory were used.
方法采用上下解的方法、单调迭代法、比较原理、极值原理以及特征值理论进行了研究。
Studies the existence for two-point boundary value problems of two fourth-order nonlinear equations by using the theories of upper and lower solutions.
利用上下解理论研究了两类四阶非线性方程两点边值问题解的存在性。
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。
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。
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