By using a universal method a new existence theorem of solution for a generalized equilibrium problem in topological vector space is obtained.
通过一种具有普遍意义的方法，在线性拓扑空间中获得一个新的广义平衡问题解的存在性定理。
By using the fixed point theorem, we prove some new existence theorems of the solution for this class of nonlinear projection equations in Hilbert Spaces.
利用不动点定理，我们得到了关于这类非线性投影方程解的一些新的存在性定理。
In this thesis, first, we employ the fixed point theorem to establish the existence of solution of a class of generalized vector quasi-variational-like inequality over product sets.
本文首先研究了一类积集上的广义向量拟类变分不等式问题，使用不动点定理给出了它的解的存在性结果。
The marginal rate of substitution of goods and the existence theorem of the optimal solution is to introduce some of the previous extension of the theory.
商品的边际替代率和最优解存在定理的介绍则是对前面理论部分的延伸。
The existence of periodic solution of singular discrete system is firstly stud - ied and theorem which periodic solutions of singular discrete system exist is given.
首次对广义离散系统的周期解的存在性进行研究，给出了广义离散系统周期解存在的判据。
A new minimax inequality theorem is established, which will be used to study the existence problem of solution for a new class of generalized bi-quasi-variational inequality.
建立了一个新的极大极小不等式，并利用它研究了仿紧集上一类新型广义双拟变分不等式解的存在性问题。
In this paper, we show the domain of the existence of the solution on Goursat problem for quasi—linear hyperbolic equation and obtain the Theorem of the existence and uniqueness in above domain.
本文以两个自变量的拟线性双曲型方程的古尔沙问题为例，应用反函数和积分不等式证明了等价积分方程组解的存在唯一性，同时给出了解的存在区域和已知参量的依赖关系。
By using a well-known fixed point index theorem, we obtain the existence, multiplicity and nonexistence of positive periodic solution(s) to this equation.
利用一个著名的不动点指标定理，获得了该方程周期正解的存在性、多重性和不存在性。
By using fixed point theorem and constructing almost periodic sequence solution for difference equation, the authors get the sufficient conditions for the existence of the almost periodic solution.
利用不动点方法及对差分方程构造概周期解，获得了概周期解存在的充分条件。
By using a new three-solution theorem, we obtain the existence and multiplicity of positive solutions for fourth-order boundary value problem.
讨论了四阶边值问题，通过应用一个新的三解定理，得到了其解的存在性与多重性。
The existence and uniqueness theorem of its solution is proved by the perturbation method and the estimation of error for its approximate solution is given.
然后利用摄动方法证明了这个问题解的存在唯一性，同时给出了解的渐近展开和误差估计。
In this paper, to 1-set contraction random operator equation, the author explained the conception of couple solution, obtained existence theorem of couple solution.
提出了1 -集压缩型随机算子方程耦合解的概念，并研究了这类随机算子方程耦合解的存在性。
A fixed point theorem in cone is used to study the existence of normal solution of second-order periodic boundary value problems.
利用锥不动点定理研究了一类二阶非线性周期边值问题正解的存在性。
The existence of co-exist periodic solution is investigated by using the bifurcation theory, the implicit function theorem and the method of asymptotic expansion.
运用分歧理论，隐函数定理，以及渐近展开的方法，获得了非平凡周期解的存在性。
By making use of monotone iterative technique, the iterative scheme and existence theorem of positive solution are established for a nonlinear second-order boundary value system.
利用单调迭代方法对一个非线性二阶边值系统建立了正解的迭代格式和存在性定理。
Using the theory of fixed point, we give a theorem about the existence of asymptotically almost periodic solution for a class of delay integral equations.
利用不动点理论，给出了一类时滞积分方程渐近概周期解的存在性定理。
Using the contraction mapping principle, we proved a theorem about the existence of solution for initial value problem of a class of implicit ordinary differential equations of the first order.
本文应用压缩映象原理证明了一阶隐式微分方程解的存在唯一性定理。
By comparison the theorem and the upper-lower solution method, the sufficient condition for the finite time bow-up and global existence of solution are established.
通过运用比较定理和构造上、下解方法，建立了该方程组解的整体存在和有限爆破的充分条件。
An existence theorem of positive solution is established for a superlinear second-order three-point boundary value problem. Here, the nonlinear term is bounded below and need not be nonnegative.
建立了超线性二阶三个边值问题的一个正解存在定理。这里，非线性项是下有界的并且不需要是非负的。
By using a fixed point theorem in cones, we investigate a second-order equation and the theorem of existence of unique positive periodic solution is given.
应用不动点定理，研究了一类二阶时滞微分方程，给出了其唯一周期正解的存在性定理。
By using a fixed point theorem in cones, we investigate a second-order equation and the theorem of existence of unique positive periodic solution is given.
应用不动点定理，研究了一类二阶时滞微分方程，给出了其唯一周期正解的存在性定理。
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