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三阶两点边值问题变号解的多重性
引用本文:王庆云,刘进生,邹杰涛.三阶两点边值问题变号解的多重性[J].数学的实践与认识,2008,38(23).
作者姓名:王庆云  刘进生  邹杰涛
作者单位:1. 山西建筑职业技术学院,基础部,太原,030006
2. 太原理工大学,理学院,太原,030024
3. 北方工业大学,理学院,北京,100041
摘    要: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.

关 键 词:不动点指数  拓扑度  三阶两点边值问题  变号解

Multiple Sign-changing Solutions for Third-order Two-point Boundary Value Problems
WANG Qing-yun,LIU Jin-sheng,ZOU Jie-tao.Multiple Sign-changing Solutions for Third-order Two-point Boundary Value Problems[J].Mathematics in Practice and Theory,2008,38(23).
Authors:WANG Qing-yun  LIU Jin-sheng  ZOU Jie-tao
Institution:1.Basic Courses Section;Shanxi College of Arehitechtural Technology;Taiyuan 030006;China;2.College of Science;Taiyuan University of Technology;Taiyuan 030024;China;3.College of Science;North China University of Technology;Beijing 100041;China
Abstract: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.
Keywords:fixed point index  topologie degree  third-order two-point boundary value problems  sign-changing solution  
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