| 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。 |