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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)
OBJECTIVE To evaluate the efficacy and safety of aripiprazole in the treatment of children with Tourette syndrome. METHOD A prospective, multi-center, controlled clinical trial was conducted in 195 children aged 5-17 years with Tourette syndrome. The patients were assigned to two groups: aripiprazole group (n=98) and tiapride group (n=97), with the… (More)
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.
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.
To investigate the expression of survivin gene and its relationship with Epstin-Barr virus (EBV) infection in midline T-cell lymphoma (MTL), immunohistochemistry staining method was used to examine the expression of survivin and EBV-latent membrane protein (LMP-1) in the 41 cases. In situ hybridization (ISH) was used to detect EBV-encoded RNA (EBER1/2). The… (More)
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.