数学物理学报(英文版) ›› 2002, Vol. 22 ›› Issue (2): 171-177.

• 论文 • 上一篇    下一篇

ON THE EXISTENCE OF ZERO POINTS OF A CONTINUOUS FUNCTION

 J.M. Soriano   

  1. Departamento de An´alisis Matem´atico, Facultad de Matem´aticas,
    Universidad de Sevilla, Aptdo. 1160, Sevilla 41080, Spain
  • 出版日期:2002-04-15 发布日期:2002-04-15
  • 基金资助:

    This work is partially supported by D.G.E.S. PB96-1338-CO2-01 and the Junta de Andaluc´?a.

ON THE EXISTENCE OF ZERO POINTS OF A CONTINUOUS FUNCTION

 J.M. Soriano   

  1. Departamento de An´alisis Matem´atico, Facultad de Matem´aticas,
    Universidad de Sevilla, Aptdo. 1160, Sevilla 41080, Spain
  • Online:2002-04-15 Published:2002-04-15
  • Supported by:

    This work is partially supported by D.G.E.S. PB96-1338-CO2-01 and the Junta de Andaluc´?a.

摘要:

A sufficient condition is given to assert that a continuous mapping between Rm and Rn has a zero. The constructive proof of the result is based upon continuation methods and supplies the existence of a path leading to the zero point.

Abstract:

A sufficient condition is given to assert that a continuous mapping between Rm and Rn has a zero. The constructive proof of the result is based upon continuation methods and supplies the existence of a path leading to the zero point.

中图分类号: 

  • 58C30