Acta mathematica scientia,Series B ›› 2005, Vol. 25 ›› Issue (1): 81-88.

• Articles • Previous Articles     Next Articles

MULTIPLE POSITIVE SOLUTIONS OF SINGULAR THIRD-ORDER PERIODIC BOUNDARY VALUE

 SUN Ji-Xian, LIU Yan-Qing   

  • Online:2005-01-20 Published:2005-01-20
  • Supported by:

    The Project Supported by the National Natural Science Foundation of China (10371066)

Abstract:

This paper deals with the singular
nonlinear third-order periodic boundary value problem
u+\r3u=f(t,u), 0\lt\l2π, with
u(i)(0)=u(i)(2π), i=0,1,2, where
 \r(0,\f1\s) and f is singular at t=0, t=1
and u=0. Under
  suitable weaker conditions than those of [1], it is proved by
  constructing a special cone in C[0,2π] and
  employing the fixed point index theory that the
  problem has at least one or at least two positive solutions.

Key words: Singular boundary value problem, third-order differential system;positive
solution

CLC Number: 

  • 34B15
Trendmd