数学物理学报(英文版) ›› 2004, Vol. 24 ›› Issue (3): 463-468.

• 论文 • 上一篇    下一篇

THE RELATION BETWEEN SIGN-CHANGING
SOLUTION AND POSITIVE-NEGATIVE
SOLUTIONS FOR NONLINEAR OPERATOR
EQUATIONS AND ITS APPLICATIONS

张克敏,孙经先   

  • 出版日期:2004-07-20 发布日期:2004-07-20
  • 基金资助:

    This work is supported by the WNSFC(60304003, 10371066), the NSF of
    Shandong Province(Z2003A01, Y02P01), and the doctoral Foundation of Shandong Province(03B5092)

THE RELATION BETWEEN SIGN-CHANGING
SOLUTION AND POSITIVE-NEGATIVE
SOLUTIONS FOR NONLINEAR OPERATOR
EQUATIONS AND ITS APPLICATIONS

 ZHANG Ke-Min, SUN Jing-Xian   

  1. Department of Mathematics, Qufu Normal University, Shandong 273165, China Department of Mathematics, Xuzhou Normal University, Jiangsu 221116, China
  • Online:2004-07-20 Published:2004-07-20
  • Supported by:

    This work is supported by the WNSFC(60304003, 10371066), the NSF of
    Shandong Province(Z2003A01, Y02P01), and the doctoral Foundation of Shandong Province(03B5092)

PDF (PC)

914

摘要：

By fixed point index theory and a result obtained by Amann, existence of the
solution for a class of nonlinear operator equations x = Ax is discussed. Under suitable
conditions, a couple of positive and negative solutions are obtained. Finally, the abstract
result is applied to nonlinear Sturm-Liouville boundary value problem, and at least four
distinct solutions are obtained.

Abstract:

By fixed point index theory and a result obtained by Amann, existence of the
solution for a class of nonlinear operator equations x = Ax is discussed. Under suitable
conditions, a couple of positive and negative solutions are obtained. Finally, the abstract
result is applied to nonlinear Sturm-Liouville boundary value problem, and at least four
distinct solutions are obtained.

Key words: Cone, fixed point index theory, uniformly positive operator.

中图分类号: 

  • 47H10
版权所有 © 《数学物理学报(英文版)》杂志社
地址：武汉市71010号信箱(430071)　电话: 027-87199206(中文版)　027-87199087(英文版)
E-mail: actams@apm.ac.cn
本系统由北京玛格泰克科技发展有限公司设计开发