非线性算子方程的变号解及其应用

崔玉军;邹玉梅;李红玉

系统科学与数学 ›› 2009, Vol. 29 ›› Issue (8) : 1094-1101.

PDF(320 KB)
中国科学院数学与系统科学研究院期刊网
PDF(320 KB)
系统科学与数学 ›› 2009, Vol. 29 ›› Issue (8) : 1094-1101. DOI: 10.12341/jssms08382
论文

非线性算子方程的变号解及其应用

    崔玉军, 邹玉梅, 李红玉
作者信息 +

Existence of Sign-Changing Solutions for Nonlinear Operator Equations and Its Applications

    CUI Yujun, ZOU Yumei, LI Hongyu
Author information +
文章历史 +

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.

Abstract

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.

Key words

Fixed point index / sign-changing solution / cone / three-point boundary value problem.

引用本文

EndNote

Ris (Procite)

Bibtex

导出引用
崔玉军 , 邹玉梅 , 李红玉. 非线性算子方程的变号解及其应用. 系统科学与数学, 2009, 29(8): 1094-1101. https://doi.org/10.12341/jssms08382
CUI Yujun , ZOU Yumei , LI Hongyu. Existence of Sign-Changing Solutions for Nonlinear Operator Equations and Its Applications. Journal of Systems Science and Mathematical Sciences, 2009, 29(8): 1094-1101 https://doi.org/10.12341/jssms08382
中图分类号： 47H10   
PDF(320 KB)

157

Accesses

0

Citation

Detail
段落导航
相关文章

/

〈 〉