J4 ›› 2011, Vol. 24 ›› Issue (3): 13-17.

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Existence of sign changing solutions of a nonlinear operator equation and its application in a Hammerstein integral equation

 JI Hong-Wei   

  1. Rugao Branch, Jiangsu Institute of Education, Rugao 226500, China
  • Received:2011-02-22 Published:2011-06-20 Online:2011-06-20

Abstract:

    This paper addressed the existence of signchanging solutions of a nonlinear operator equation with cone theory in space. This paper also applied the acquired result to a Hammerstein integral equation.

Key words: cone, fixed point index, sign changing solutions

CLC Number: 

  • O177

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