| 1. | Several theorems on fixed point index of random operator
关于随机算子不动点指数的几个定理 |
| 2. | In this paper , by using the fixed point index method , the authors discussed the periodic boundary value problem of first order differential systems
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。 |
| 3. | 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
摘要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。 |
| 4. | The existence of multi - positive solutions are presented to a singular nonlinear second periodic order boundary value problem . and the proof uses the fixed point index in the cone theory
摘要利用格林函数的正性和锥不动点指数，分析了一类奇异非线性二阶周期边值问题的多个正解的存在性。 |
| 5. | By using the fixed point index theorem , the existence of positive solutions for nonlinear m - point boundary value problem is established under some weaker conditions , and previous results are improved and generalized
摘要本文在较弱的条件下，利用不动点指数定理研究了一类算子多点边值问题正解的存在性，推广并改进了原有的结果。 |
| 6. | In this paper , the author uses the fixed point index of 1 - set contraction mapping to study the problem of their eigenvectors and eigenvalues and gets some new eignevalues and eigenvectors existrence theorems
摘要该文进一步用1 -集压缩映象的不动点指数，研究更广泛的1 -集压缩映象的固有值和固有元问题，得到若干新的固有值和固有元存在性定理。 |
| 7. | 3 . as for the existence of positive solutions , the cone theory and the fixed point index of condensing mapping are employed , and the results of the existence of positive solutions are obtained in the case of superlinear and sublinear . the conclusions extend and improve the existence theorem which lou ben - dong extablished in 1996 about the question of sturm - liouville of banach spaces
三、对于正解存在性问题，我们应用凝聚映射的不动点指数理论，分别在超线性与次线性情形下进行讨论，获得了一些正解存在的结果，主要结果推广和改进了1996年louben - dong对banach空间sturm - liouville问题所建立的存在性定理。 |
| 8. | With the usage of degree theory in [ 1 ] , calculating indices of fixed points of compact maps in cones of [ 2 - 10 ] and combining with bifurcation theories [ 11 - 19 ] , maximum principles [ 17 ] [ 19 ] , lower - upper solutions methods [ 20 - 22 ] and spectrum analysis of operators [ 23 - 24 ] , we get some results of the coexistence solutions for modell in the first section . the results can be seen extensions of [ 7 ] [ 23 ]
利用文献[ 1 ]中度理论、 [ 2 - 10 ]中锥映象不动点指数方法，并结合分歧理论，极值原理，上下解方法和算子谱分析等，在文中第一部分讨论了其平衡解的存在性，部分推广了文献[ 7 ] [ 23 ]的结论。 |
| 9. | Throughout the following of this section , e denotes a real banach space and p is a cone in e . in chapter , a new three - solution theorem is obtained . moreover , the famous amann ' s and leggett - williams " three - solution theorems in nonlinear functional analysis can be seen as its special cases , namely they are united . so they are improved . the main results can be stated as the following : let d be a nonempty bounded close convex subset in e , and nonnegative continuous functional on d . and is concave while is convex . suppose 0 < d and denote
首先我们约定，在下文中， e是实banach空间， p是e中的锥。在第一章中，我们利用锥理论与不动点指数理论统一了著名的amann三解定理与leggett - williams三解定理。主要结论是：设d是e中的非空有界闭凸集， ，是d上的非负连续泛函，且是凹泛函，是凸泛函。 |
