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- 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.

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.

- Da-Bin Wang, Wen Guan, Victoria Otero-Espinar
- 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.

- 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)

- 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.

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