Acta mathematica scientia,Series A ›› 2014, Vol. 34 ›› Issue (3): 738-743.

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On Fixed Points Theorems of a Class of Decreasing Operator and Applications

 LI Xing-Chang, TIAN Shi-Qin   

  1. Center for Economic Research, Harbin University of Commerce, Harbin 150028
  • Received:2012-12-19 Revised:2013-11-06 Online:2014-06-25 Published:2014-06-25
  • Supported by:

    国家社会科学基金(13CJL006)和哈尔滨商业大学博士科研启动金(13DW033)资助, 2013年度黑龙江省高校哲学社会科学学术创新团队阶段性成果

Abstract:

The paper obtains a fixed point theorem for decreasing operators. The result is applied to singular boundary value problems which has the decreasing nonlinearity on u, and the nonlinearity may be singular at t = 0 and/or 1 and u = 0.

Key words: Fixed point, Decreasing operator, Normal cone

CLC Number: 

  • 47H07
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