使用的主要方法有锥上的不动点理论、拓扑度理论和上下解方法等。
Some efficient tools such as topological degree theory, fixed point theory and lower and upper method have been applied.
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 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，给出了一类非线性积分方程正的遍历解存在的充分条件。
Applying fixed points theorem, we give the sufficient conditions of the existence of positive ergodic solutions for a class of infinite nonlinear integral equations.
利用不动点理论，给出了一类半线性微分方程有界的调和伪概周期解存在的充分条件。
Using fixed point theorems, in this paper we give sufficient conditions of the existence of bounded mild pseudo almost periodic solution for some semilinear differential equations.
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.
利用不动点理论，给出了一类非线性延迟积分方程正的渐近概周期解存在的充分条件。
Using fixed point theorems, in this paper we give sufficient conditions of the existence of asymptotically-almost-periodic solution for some nonlinear delay integral equations.
在第8章，我们将讨论两个函数极小极大不等式及其对变分不等式和不动点理论的应用。
In Section 8, we shall discuss two-function minimax inequalities and their applications to variational inequalities and to fixed-point theory.
本文讨论了分式线性变换不动点理论，并证明了一类单位圆到单位圆的分式线性变换仅有实不动点。
Some fixed point theory of fractional linear transformation is discussed and it is shown that one kind of transformation from unit circular to unit circular has only some real fixed points.
在WF -模糊度量空间中建立压缩型和局部压缩型映射的不动点理论，推广一些重要的不动点定理。
The fixed point theorems for mappings of contractive type and locally contractive type on WF-fuzzy metric Spaces, which extend several important fixed point theorems, are established.
最后，根据可分层术语集合的特性，证明了循环不动点理论在本体知识库下可用于计算可分层术语集合的语义模型。
Finally, this thesis proves that the recursion fixed point theory can also be used for the semantic model computation of a stratified TBox in ontology knowledge base.
它与不动点理论，变分不等式问题，线性和非线性分析，以及其他领域的应用数学如经济，平衡问题等都有密切的联系。
It has an important relation with stationary point theories, variational inequality, linear and nonlinear analysis, and some applied mathematical problems such as economic and equilibrium problems.
我们应用凝聚映射的不动点指数理论，分别存两种情形下，获得了一些正解存在的结果，推广了近期这方面已有的一些结果。
By employing the fixed point index of condensing mapping, the existence results of positive solution are obtained under two cases, the conclusions extend the results recently achieved in this field.
利用不动点原理及微分不等式理论，我们证明了边值问题解的存在性，并给出了解的一致有效渐近展开式。
Using the fixed point principle and the theory of differential inequality, we prove the existence of the solution and an uniformly valid asymptotic expansions of the solution is given as well.
通过利用不动点指数理论及一个新的三解定理，得到了边值问题多个正解的存在性。
By using the fixed point theory and a new three-solution theorems, the existence of multiple solutions of the boundary value problem was obtained.
利用锥理论和单调迭代技巧讨论了一类逐点次连续的混合单调算子不动点的存在性问题。
Cone theory and monotone iterative technique are used to discuss the existence for a kind of mixed monotone operators with pointwise sub-continuity.
主要研究一类三阶两点边值问题变号解的存在性和多重性，利用不动点指数和拓扑度理论等得到了新的结论。
We show existence results for multiple sign-changing solution for third-order two- point boundary value problems by using the fixed point index and the topologic degree theory.
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。
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.
利用锥理论给出了随机1-集压缩算子的随机不动点指数的一些计算方法。
Some new methods of computation for random fixed point index of random 1-set-constractive operator.
根据理论分析结果，调节电路的参数，可以成功地看到不动点、倍周期、混沌现象。
According to the theoretical results, we adjust the circuit parameters and then can find the phenomena of fixed point, periodic attractor, and chaos.
所用的工具为不动点指数理论。
本文利用不动点指数理论得到离散边值问题多重正解的存在性。
In this paper, we consider the existence of multiple positive solutions of discrete boundary value problem. The theory of fixed point index is used here to derive the existence theorem.
常微分方程组边值问题锥不动点指数理论正解。
Nonlinear ordinary differential systems boundary value problems cone fixed point index theory positive solution.
定义了A-紧1-集压缩映象场的广义度，扩展了1984年张庆雍建立的半紧1-集压缩映射的不动点指数理论。
In the present paper, we define a generalized degree for A-compact 1-set contraction mapping, the result extends what Zhang Qingyong obtained in 1984.
定义了A-紧1-集压缩映象场的广义度，扩展了1984年张庆雍建立的半紧1-集压缩映射的不动点指数理论。
In the present paper, we define a generalized degree for A-compact 1-set contraction mapping, the result extends what Zhang Qingyong obtained in 1984.
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