Cohen-Grossberg-type BAM神经网络吸引集和不变集(英文)

利用矩阵理论和不等式分析技巧,讨论了一类具分布时滞的Cohen-Grossberg型BAM神经网络的不变集和吸引集,获得了一些最新结果,并给出一个实例说明我们结果的可行性.     

Godel n值命题逻辑中公式的随机真度和形式推演结论的不可靠度估计

利用Godel n值命题逻辑赋值域上概率的无穷乘积,在Godeln值命题逻辑系统中引入命题公式的随机真度和不可靠度概念。证明在Godeln值逻辑系统中,一个有效推理结论的不可靠度不超过各前提的不可靠度与其必要度的乘积之和。通过不可靠度在全体公式集上建立伪距离,给出基于伪距离和不可靠度的两种近似推理模式。     

Formation of 1,5-lactones from 3-deoxy-d-manno-2-octulosonic acid derivatives.

Acylation of ammonium 3-deoxy-α-D-manno-2-octulopyranosonate (1a) leads to the formation of peracetylated 3-deoxy-α-D-manno-2-octulopyranosono- 1,5-lactones (3a,b). Theproposed structures were confirmed by independent syntheses. The 1,7-lactone was not formed even when only OH-7 was available for lactonisation.     

Ground States for Singularly Perturbed Planar Choquard Equation with Critical Exponential Growth

In this paper, we are dedicated to studying the following singularly Choquard equation $$ -\varepsilon^2\Delta u+V(x)u=\varepsilon^{-\alpha}\left[I_{\alpha}\ast F(u)\right]f(u),\ \ \ \ x\in\R^2,$$ where $V(x)$ is a continuous real function on $\R^2$, $I_{\alpha}:\R^2\rightarrow\R$ is the Riesz potential, and $F$ is the primitive function of nonlinearity $f$ which has critical exponential growth. Using the Trudinger-Moser inequality and some delicate estimates, we show that the above problem admits at least one semiclassical ground state solution, for $\varepsilon>0$ small provided that $V(x)$ is periodic in $x$ or asymptotically linear as $|x|\rightarrow \infty$. In particular, a precise and fine lower bound of $\frac{f(t)}{e^{\beta_{0} t^{2}}}$ near infinity is introduced in this paper.