无界区间上脉冲发展微分包含解的存在性

本文讨论了无界区间上脉冲发展微分包含解的存在性.通过使用一个新的Leray-Schauder型的非线性多值二择一定理,在适当的条件下,建立了这类问题解存在的充分条件.     

广义稠密随机交集图的度分布(英文)

广义随机交集图是一类重要的随机图模型,它是E-R随机图的变种,被广泛用于复杂社会网络的研究中.本文研究了在顶点度的期望趋于无穷的情况下,广义随机交集图的度分布.我们对二项模型给出了中心极限定理,并且对一致模型给出了极限定理.     

关于任意随机序列的一个强大数定理

This note is devoted to introduce a new concept of conditionally dominated random variables.Under suitable restrict conditions,a general strong law of large numbers for arbitrary continuous random variables is obtained.     

A remark about the Orlicz-Pettis theorem and the statistical convergence

In this paper we obtain a new version of the Orlicz-Pettis theorem by using statistical convergence. To obtain this result we prove a theorem of uniform convergence on matrices related to the statistical convergence.     

A generalized existence theorem of backward doubly stochastic differential equations

In this paper, we deal with a class of one-dimensional backward doubly stochastic differential equations （BDSDEs）. We obtain a generalized comparison theorem and a generalized existence theorem of BDSDEs.     

Multiplicity of solutions for a class of Kirchhoff type problems

In this paper we apply the （variant） fountain theorems to study the symmetric nonlinear Kirch- hoff nonlocal problems. Under the Ambrosetti-Rabinowitz＇s 4-superlinearity condition, or no Ambrosetti- Rabinowitz＇s 4-superlinearity condition, we present two results of existence of infinitely many large energy solutions, respectively.     

Multiplicity of positive solutions to period boundary value problems for second order impulsive differential equations

This paper deals with the existence and multiplicity of positive solutions to second order period boundary value problems with impulse effects. The proof of our main results relies on a well-known fixed point theorem in cones. The paper extends some previous results and reports some new results about impulsive differential equations.     

DECOMPOSITION THEOREMS FOR Qp SPACES WITH SMALL SCALE p ON THE UNIT BALL OF Cn

This article is devoted to studying the decomposition of functions of Q p spaces,which unify Bloch space and BMOA space in the scale of p.A decomposition theorem is established for Q p spaces with small scale p,(n-1)/np≤1 by means of p-Carleson measure and the Bergman metric on the unit ball of C n.At the same time,a decomposition theorem for Q p,0 spaces is given as well.     

一类拟线性奇异椭圆方程无穷多解的存在性

本文研究有界区域Ω()RN上拟线性奇异椭圆方程.利用变分法,在f满足非二次条件的情况下,运用对偶喷泉定理证明了存在λ*0使得当λ∈(0,λ*)时,该方程存在无穷多个具有负能量的弱解{uk}.推广了s=0时的相应结果.     

由p(x)-Laplace算子导出的不等式Dirichlet问题的三解

讨论了一类具有非光滑位势的p(x)-Laplace非线性椭圆问题.利用非光滑的三临界点定理证明了该问题在变指数Sobolev空间W01,p(x)(Ω)中至少存在3个非平凡解.