RELAXATION IN CONTROL SYSTEMS OF FRACTIONAL SEMILINEAR EVOLUTION EQUATIONS
作者：
Liu, Xiaoyou* ;Fu, Xi
期刊：
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS ,2014年2014 ISSN：1072-6691
通讯作者：
Liu, Xiaoyou
作者机构：
[Liu, Xiaoyou] Univ South China, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China.;[Fu, Xi] Shaoxing Univ, Dept Math, Shaoxing 312000, Zhejiang, Peoples R China.
通讯机构：
[Liu, Xiaoyou] U;Univ South China, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China.
关键词：
Fractional semilinear evolution equation;relaxation property;feedback control;nonconvex constraint;mild solution
摘要：
We consider a control system described by fractional semilinear evolution equations with a mixed multivalued control constraint whose values are nonconvex closed sets. Along with the original system, we consider the system in which the constraint on the control is the closed convex hull of the original constraint. We obtain existence results for the control systems and study relations between the solution sets of the two systems. An example is given to illustrate the abstract results.
语种：
英文
展开
高等数学课程教学改革的实践探索
作者：
许友军降;刘小佑;刘亚春
期刊：
中国电力教育 ,2013年(34):92-93 ISSN：1007-0079
作者机构：
南华大学数理学院 湖南 衡阳 421001;[许友军降; 刘亚春; 刘小佑] 南华大学
关键词：
高等数学;分层次教学;因材施教
摘要：
随着高等教育发展的大众化趋势,学生之间的数学基础差异也不断加大。结合南华大学高等数学课程教学实际情况及其他高校实施分层次教学的情况,对高等数学课程教学改革进一步探索,采用分层次教学模式,目标是针对不同层次大学生因材施教,促进大学生对高等数学的兴趣,激发大学生的学习动力,从而达到提高课堂教学效果的目的。
语种：
中文
展开
Existence results for fractional differential equations with separated boundary conditions and fractional impulsive conditions
作者：
Fu, Xi* ;Liu, Xiaoyou
期刊：
Abstract and Applied Analysis ,2013年2013 ISSN：1085-3375
通讯作者：
Fu, Xi
作者机构：
[Fu, Xi] Shaoxing Univ, Dept Math, Shaoxing 312000, Zhejiang, Peoples R China.;[Liu, Xiaoyou] Univ South China, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China.
通讯机构：
[Fu, Xi] S;Shaoxing Univ, Dept Math, Shaoxing 312000, Zhejiang, Peoples R China.
摘要：
This paper is concerned with the fractional separated boundary value problem of fractional differential equations with fractional impulsive conditions. By means of the Schaefer fixed point theorem, Banach fixed point theorem, and nonlinear alternative of Leray-Schauder type, some existence results are obtained. Examples are given to illustrate the results. © 2013 Xi Fu and Xiaoyou Liu.
语种：
英文
展开
