非紧λ-超凸空间中的一个新的GMλ-KKM定理及其对变分不等式和不动点的应用

在非紧λ-超凸空间中建立了一个新的GMλ-KKM定理。作为应用,研究了变分不等式的解集、相交点集、KyFan截口和极大元集的性质,获得了一个Fan-Browder不动点定理。

一类R^n上非线性椭圆型方程正整解的存在性及其性质

以Schauder-Tychonoff不动点定理为工具,应用上、下解得方法,建立一类高维非线性椭圆型方程△_u=f(x,▽u)u~β,(x∈R^n,n≥3,0<β<1)正整解的存在性和性质的定理,所得的结果丰富和发展了Kawano等和许兴业的结果.

脊柱定点旋转复位法治疗腰椎间盘突出症的护理

目的探讨脊柱定点旋转复位法在腰椎间盘突出症中的治疗方法及护理方法。方法选取2015年3月—2017年6月的256例腰椎间盘突出症患者,采用脊柱定点旋转复位法。结果 256例患者,治愈例数为233例,好转例数为15例,无效例数为8例,总治疗有效率为96.88%,无患者出现并发症。结论脊柱定点旋转复位法有助于提升腰椎间盘突出症治疗效果。

POSITIVE SOLUTIONS TO A FIRST ORDER IMPULSIVE INTEGRAL BOUNDARY VALUE PROBLEM ON TIME SCALES

In this paper, we are mainly concerned with the existence and multiplicity of positive solutions to a frst order integral boundary value problem with impulsive efects on time scales. Under some conditions concerning the frst eigenvalues corresponding to the relevant linear operators, we obtain the main results by Krasnoselskii-Zabreiko fxed point theorem.

EXISTENCE OF MILD SOLUTION TO NONLINEAR NEUTRAL STOCHASTIC DIFFERENTIAL SYSTEM WITH DELAY

This paper is concerned with the existence of solution to a nonlinear neutral stochastic diferential system with delay in a Hilbert Space. Sufcient conditions for the existence are obtained using the Schaefer fxed point theorem.

EXISTENCE OF ANTI-PERIODIC MILD SOLUTIONS TO FRACTIONAL DIFFERENTIAL EQUATIONS OF ORDER α∈(0,1)

In this paper, by Schauder’s fxed point theorem and the contraction mapping principle, we consider the existence and stability of T-anti-periodic solutions to fractional diferential equations of order α∈(0,1). An example is given to illustrate the main results.

POSITIVE SOLUTIONS TO SINGULAR(k, n-k) CONJUGATE BOUNDARY VALUE PROBLEMS

By the fxed point index theory, the existence of one, two and three positive solutions to(k, n-k) conjugate boundary value problems is obtained, where n 】 2, 1 ≤ k ≤ n-1, the nonlinear term may be noncontinuous and singular at any point of [0,1]. Our results extend some of the existent results.