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- Liu Li-shan
- 1993

In this paper, using some conditions of (sub) compatibility between a set-valued mapping and a single-valued mapping, we establish a necessary and sufficient condition and a sufficient condition for… (More)

- Liu Li-shan
- 2006

In this paper,the existence of positive solutions of a class of fourth order singular boundary value problems u~(4)(t)=λa(t)f(t,u(t),-u″(t)),0t1,u(0)=u(1)=0,u″(0)=u″(1)=0 is discussed by constructing… (More)

- Liu Li-shan
- 1997

In this paper, we will prove that the random version of Fan's Theorem (Math. Z. 112 (1969), 234-240) is true for 1-set-contractive random operator f: Q x BR -+ X, where BR is a weakly compact… (More)

- Liu Li-shan
- 1994

- Liu Li-shan
- 2007

The existence of three solutions theorem for the singular nonliner p-Laplacian boundary problem (φ(x′))′+h(t)f(t,x,x′)=0,0t1,x′(0)=x(1)=0,or x(0)=x′(1)=0,is given by using the Leggett-Williams… (More)

- Liu Li-shan
- 2006

We investigate the initial value problem for the second order impulsive integro-differential equation in Banach space. Without any compactness type condition, we get the existence and uniqueness of… (More)

- Liu Li-shan
- 2007

By using the fixed point index theorem,the existence of positive solutions for nonlinear m-point boundary value problem is established under some weaker conditions,and previous results are improved… (More)

- Liu Li-shan
- 2005

In this paper, the global solutions of initial value problem for nonlinear integro-differential equation of mixed type in Banach spaces are investigated. Without any monotone assumption of f, the… (More)

- Ren-gui Li, Liu Li-shan
- 2001

AbstractNew existence results are presented for the singular second-order nonlinear boundary value problems u″ + g(t)f(u) = 0, 0 < t < 1, αu(0) − βu′ (0) = 0, γu(1) + δu′(1) = 0 under the conditions… (More)

- Liu Li-shan
- 2007

The existence of positive solutions for some singular boundary value problem of p-Laplacian operator by using the theorem on cone expansion and compression and a fixed point theorem on cone is… (More)