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叠合度的计算及其对非线性Picard边值问题的应用
引用本文:王峰,张芳,王鑫. 叠合度的计算及其对非线性Picard边值问题的应用[J]. 徐州师范大学学报(自然科学版), 2007, 25(3): 23-26
作者姓名:王峰  张芳  王鑫
作者单位:1. 江苏工业学院 信息科学系,江苏,常州,213164
2. 徐州师范大学 数学科学学院,江苏,徐州,221116
摘    要:利用锥理论给出了一个新的叠合度计算方法,并应用于非线性二阶Picard问题.

关 键 词:叠合度  Fredholm算子    边值问题
文章编号:1007-6573(2007)03-0023-04
修稿时间:2007-01-20

Computation for Coincidence Degree and Applications to Nonlinear Picard Boundary Value Problems of Second-order Differential Equations
WANG Feng,ZHANG Fang,WANG Xin. Computation for Coincidence Degree and Applications to Nonlinear Picard Boundary Value Problems of Second-order Differential Equations[J]. Journal of Xuzhou Normal University(Natural Science Edition), 2007, 25(3): 23-26
Authors:WANG Feng  ZHANG Fang  WANG Xin
Affiliation:1. Department of Information Science, Jiangsu Polytechnic University, Changzhou, Jiangsu, 213164, China; 2. School of Mathematical Science, Xuzhou Normal University, Xuzhou, Jiangsu, 221116, China
Abstract:In this paper,a new method of computation of coincidence degree is given by using the theory of cones and applied to investigation on the existence of solutions for nonlinear Picard boundary value problems of second order differential equations.
Keywords:coincidence degree  Fredholm operator  cone  boundary value problem
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