非线性算子方程的变号解及其应用  

EXISTENCE OF SIGN-CHANGING SOLUTIONS FOR NONLINEAR OPERATOR EQUATIONS AND ITS APPLICATIONS

作　　者：崔玉军[1] 邹玉梅[1] 李红玉[1] 

机构地区：[1]山东科技大学信息科学与工程学院,青岛266510

出　　处：《系统科学与数学》2009年第8期1094-1101,共8页Journal of Systems Science and Mathematical Sciences

基　　金：国家自然科学基金(10671167)资助项目

摘　　要：利用锥理论讨论了非线性算子方程变号解的存在性,所得结果在理论上推广了相关文献的结论.作为应用,考虑了二阶三点边值问题,得到了新的结论.In this paper, the existence of sign-changing solutions for nonlinear operator equations is discussed. The abstract results generalize the existing ones. As an application, we investigate the existence of sign-changing solutions for some three-point boundary value problem is investigated.

关 键 词：不动点指数 变号解 锥 三点边值问题. 

分 类 号：O175.8[理学—数学]