所用的工具为不动点指数理论。
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.
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.
利用锥上的不动点指数研究了一阶非线性常微分方程组的周期边值问题。
In this paper, by using the fixed point index method, the authors discussed the periodic boundary value problem of first order differential systems.
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.
摘要利用锥上的不动点指数研究了一阶非线性常微分方程组的周期边值问题。
In this paper, by using the fixed point index method, the authors discussed the periodic boundary value problem of first order differential systems.
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.
利用锥映射的不动点指数定理，研究了一类非线性奇异边值问题多个正解的存在性问题。
This paper discusses the existence of multiple positive solutions of a class of nonlinear singular boundary value problems by means of the fixed point index Theorem on cones.
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.
通过使用不动点指数定理，我们得到了问题(3.1.1)正解的存在性以及问题(3.1.2)正解的存在区间。
We obtain the existence of positive solutions of BVP (3.1.1) and the existence interval of positive solutions of BVP (3.1.2), by using fixed point index theorems.
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.
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.
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.
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.
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