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- Da-Bin Wang, Wen Guan
- Computers & Mathematics with Applications
- 2008

- DA-BIN WANG
- 2006

In this paper, by using Guo-Krasnosel'skii fixed point theorem in cones, we study the existence, multiplicity and infinite solvability of positive solutions for the following three-point boundary value problems for p-Laplacian dynamic equations on time scales [Φp(u (t))] + a(t)f (t, u(t)) = 0, t ∈ [0, T ] T , u(0) − B 0 (u (η)) = 0, u (T) = 0. By… (More)

- Wen Guan, Shuang-Hong Ma, Da-Bin Wang
- 2012

In this paper, existence criteria for single and multiple positive solutions of periodic boundary value problems for first order difference equations of the form △x(k) + f (k, x(k + 1)) = 0, k ∈ [0, T ] , x(0) = x(T + 1), are established by using the fixed point theorem in cones. An example is also given to illustrate the main results.

- Da-Bin Wang, Jian-Ping Sun, Wen Guan
- Computers & Mathematics with Applications
- 2010

- Da-Bin Wang
- Computers & Mathematics with Applications
- 2008

By using the fixed point theorem in cones, in this paper, existence criteria for single and multiple positive solutions to a class of nonlinear first-order periodic boundary value problems of impulsive dynamic equations on time scales are obtained. An example is given to illustrate the main results in this article.

- Kai-Xi Zhan, Wei-Jun Qian, Da-Bin Wang, Bo Fan
- Zhongguo gu shang = China journal of orthopaedics…
- 2010

- Da-Bin Wang, Wen Guan
- 2009

By using the Leggett-Williams fixed point theorem, the existence of three positive solutions to a class of nonlinear first-order periodic boundary value problems of impulsive dynamic equations on time scales with parameter are obtained. An example is given to illustrate the main results in this paper.

- SHUANG-HONG MA, JIAN-PING SUN, DA-BIN WANG
- 2007

In this paper, we consider the following dynamic system with parameter on a measure chain T, u ∆∆ i (t) + λh i (t)f i (u 1 (σ(t)), u 2 (σ(t)),. .. , un(σ(t))) = 0, t ∈ [a, b], αu i (a) − βu ∆ i (a) = 0, γu i (σ(b)) + δu ∆ i (σ(b)) = 0, where i = 1, 2,. .. , n. Using fixed-point index theory, we find sufficient conditions the existence of positive solutions.

- DA-BIN WANG
- 2007

In this paper, we establish the existence of three positive solutions to the following p-Laplacian functional dynamic equation on time scales, [Φp(u ∆ (t))] ∇ + a(t)f (u(t), u(µ(t))) = 0, t ∈ (0, T) T , u 0 (t) = ϕ(t), t ∈ [−r, 0] T , u(0) − B 0 (u ∆ (η)) = 0, u ∆ (T) = 0,. using the fixed-point theorem due to Avery and Peterson [8]. An example is given to… (More)

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