算子D^α和强星象函数

用算子D^α刻划了强星象函数和强凸象函数的新子类STα（β，γ）和CVα（β，γ），建立了包含关系，讨论了这些类中函数积分算子的性质．     

时变时滞奇异摄动Lurie系统的稳定性分析

为改善在实际的Lurie 控制系统中的滞后和摄动现象所导致的系统振动和不稳定问题,在鲁棒稳定性理论基础上,笔者分析了含有不确定性结构的时变时滞奇异摄动Lurie 系统在两种扇形区域［0,V］和［V1,V2］内的稳定性问题,通过选取新的李雅普诺夫泛函数,结合引理、交叉项界定方法,推出时滞依赖和时滞独立两种情形下新的绝对稳定性判据。数值样例证明了该结果的可行性和优越性。     

基于元学习的语音识别探究

目前,高准确率的语音识别需要在大规模语料库上进行学习才能获得,然而大规模语料库的构建成本较高,某些语言很难采集到充足的语料,因此,基于小规模语料库的语音识别已成为目前挑战性的研究问题.元学习是模仿人类利用已有经验快速学习新知识的机器学习方法,在机器视觉单样本学习任务中表现出明显的优势,已成为新的机器学习研究热点.将元学习应用于单样本语音识别是解决基于小规模语料库语音识别这一挑战性问题的有效途径,在TIMIT和佤语数据库上,开展了基于Reptile元学习算法的单样本孤立词语音识别研究.实验结果表明,该算法能有效地提升模型收敛速度与泛化精度,从而提升了模型的学习能力,说明元学习方法有助于解决小规模语料语音识别这一挑战性问题.     

一类修正Hager-Zhang共轭梯度法的收敛性及其数值实验

为有效提高求解无约束优化问题的计算效率, 提出一类新的修正Hager-Zhang共轭梯度法, 该算法不依赖线搜索, 具有充分下降性和信赖域性质. 理论研究结果表明, 在常规假设条件下, 新算法不仅在弱Wolfe-Powell线搜索下对一般函数全局收敛, 且对一致凸函数具有R-线性收敛速度. 数值实验结果表明, 新算法比经典Hager-Zhang算法及其两个修正算法性能更优.     

余挠对与余倾斜模

通过研究余挠对与余倾斜模的性质,给出了完备遗传余挠对的核是余倾斜模的直积的直和项的充分条件.     

Fuzzy R一模的同态及其性质

本文着重讨论了ＦｕｚｚｙＲ一模（即Ｆ一模）的同态及同态映射性质。     

Z_2对称奇点理论的若干命题和定理

本文指出由Golubitsky和Schaeffer给出的恒等关系Itr(F,Z_2)=(ItrF)·{x}是错误的。在此给出了Z_2对称奇点理论的若干结论,重新证明了Golubitsky和Langford关于规范形的两个重要定理。借助同样的思想,可以重新给出非对称情形下相应规范形定理的证明,以弥补原证明中的漏洞。     

广义强非线性变分包含的扰动算法

研究了求广义强非线性变分包含逼近解的迭代扰动算法，作为特殊情形，得到了在这个研究领域的一些已知结果．     

EXISTENCE AND ALGORITHM OF SOLUTIONS FOR GENERALIZED STRONGLY MIXED IMPLICIT QUASI-VARIATIONAL INEQUALITIES

The purpose of this paper is to introduce and study a new class of generalized strongly mixed implicit quasi-variational inequalities in Hilbert spaces, which includes the known class of generalized mixed implicit quasi-variational inequalities as a special case. By applying the auxiliary variational principle technique, the existence of solutions for this class of quasi-variational inequalities is proved. Moreover, a new iterative algorithm for computing approximate solutions is constructed and the convergence criteria for this iterative algorithm are also established.     

GABA-A-mediated gastrin release induced by baclofen in the isolated vascularly perfused rat stomach

Summary In order to investigate the role of peripheral GABA-B receptors, the effects of the putative GABA-B agonist baclofen on immunoreactive gastrin release from an isolated vascularly perfused rat stomach preparation were examined. The vascular infusion of baclofen at graded concentrations induced a dose-dependent increase in gastrin release; this was unaffected by the GABA-B antagonist delta-aminovaleric acid, but was fully prevented by the selective GABA-A antagonist bicuculline as well as by atropine or tetrodotoxin. These results suggest that the stimulant effects of baclofen are mediated by nervous cholinergic structures, associated with GABA-A receptors, and indicate that this GABA-B agonist must be regarded as a partial agonist of peripheral GABA-A receptors.