Author/Authors :
XU، FUYI نويسنده School of Science , , GUAN، XIAOYAN نويسنده State Key Laboratory of Simulation and Regulation of Water Cycle in River Basin ,
Abstract :
In this paper, we study second-order m-point boundary value problem
(
u
00(t) +a(t)u
0
(t) + f(t,u) = 0, 0 ? t ? 1,
u
0
(0) = 0, u(1) = ?
k
i=1
aiu(?i)??
m?2
i=k+1
aiu(?i),
where ai > 0(i = 1,2,...,m?2),0 < ?
k
i=1
ai ??
m?2
i=k+1
ai < 1,0 < ?1 < ?2 < ··· < ?m?2 < 1,
a ?C([0,1],(??,0)) and f is allowed to change sign. We show that there exist two positive
solutions by using Leggett-Williams fixed-point theorem. The conclusions in this paper
essentially extend and improve some known results.
2010 Mathematics Subject Classification: 34B15, 34B25
