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二阶半线性中立型差分方程的振动性准则
半线性 中立型差分方程 振动性
2008/11/18
考虑二阶半线性中立型差分方程$$\Delta[a_n|\Delta(x_n+p_nx_{n-\tau})|^{\alpha-1}\Delta(x_n+p_nx_{n-\tau})]+\sum^{k}_{i=1}q_i(n)|x_{n-\sigma_i}|^{\alpha-1}x_{n-\sigma_i}=0.\tag 1$$给出了方程(1)的解的振动性的充分条件.所有结果推广和改进了关于中立和时滞...
In this paper, we provide a q-analogue of an open problem posed by Q. A. Ng?et al. in the paper, Note on an integral inequality, J. Inequal. Pure and Appl. Math., 7(4)(2006), Art. 120, by using analyt...
On a Certain Volterra-Fredholm Type Integral Equation
Volterra-Fredholm type integral equation Banach fixed point theorem integral inequality Bielecki type norm existence and uniqueness continuous dependence
2010/1/22
The aim of this paper is to study the existence, uniqueness and other properties of solutions of a certain Volterra-Fredholm type integral equation. The main tools employed in the analysis are based o...
关于五阶非线性微分方程一致耗散解的一个结果
五阶非线性微分方程 致耗散解
2008/10/14
Criteria for the existence of uniformly dissipative solutions for a certain fifth order non-linear differential equation are given by means of the frequency domain method.
含最大值项二阶中立型差分方程的渐近性
渐近性 非振动 中立型差分方程 最大值
2008/10/8
考虑含最大值项二阶中立型差分方程$$\Delta \left( {a_n \Delta \left( {y_n + p_n y_{n-k}} \right)}\right) - q_n \mathop {\max }\limits_{[n - \ell ,n]} y_s = 0,\quad n = 0,1,2, \cdots ,\eqno{(*)}$$其中 $\left\{ {a_n } ...
加权Herz型Hardy空间的分子刻画
权 分子刻画 加权Herz型Hardy空间 强奇异积分算子
2008/9/27
首先定义了加权Herz型Hardy空间上的分子并证明了其分子刻画.作为应用,给出了强奇异积分算子$T_b$在加权Herz和Hardy空间上有界性的证明.
In this article we improve two well known bounds for the roots of polynomials with complex coefficients. Our method is algebraic, unitary and was used among others by L. Panaitopol and D. Stefanescu.
具有时滞的$n$维Li\'{e}nard型方程调和解的存在性
Li\'{e}nard型方程 时滞 调和解 迭合度
2008/9/12
本文利用迭合度理论研究了具有时滞的$n$维Li\'{e}nard型方程调和解的存在性,在对阻尼项不作限制的前提下,给出了存在调和解的条件.
具有非光滑核的奇异积分交换子的加权估计
BMOω 交换子 带非光滑核奇异积分
2012/11/9
讨论了当α,β∈Ap,b∈BMO(αβ-1)1/p,则交换子[b,T](f)从Lp(α)到Lp(β)(1
具有非光滑核的奇异积分交换子的加权估计
BMOω 交换子 带非光滑核奇异积分
2012/11/9
讨论了当α,β∈Ap,b∈BMO(αβ-1)1/p,则交换子[b,T](f)从Lp(α)到Lp(β)(1
凸模糊映射的共轭映射
模糊数 反模糊数 凸模糊映射 共轭映射
2008/8/11
本文在Goetschel和Voxman所建立的拓扑向量空间中引入了反模糊数的概念, 并建立了反模糊数空间, 讨论了有关的基本性质.在此基础上, 引入了凸模糊映射的共轭映射的定义, 并证明了凸模糊映射的共轭集合和共轭映射都是凸的.
Ramanujan's Harmonic Number Expansion into Negative Powers of a Triangular Number
Inequalities for sums series and integrals Approximation to limiting values
2010/1/22
An algebraic transformation of the DeTemple-Wang half-integer approximation to the harmonic series produces the general formula and error estimate for the Ramanujan expansion for the nth harmonic numb...