带有非局部条件半线性中立型测度方程的可控性  

Controllability of Semi-linear Neutral Measure Equations with Nonlocal Conditions

作　　者：刘文杰 LIU Wen-jie(Public Teaching Department,Anhui Vocational College of City Management,Hefei Anhui 230011,China)

机构地区：[1]安徽城市管理职业学院公共教学部,安徽合肥230011

出　　处：《菏泽学院学报》2021年第5期13-18,共6页Journal of Heze University

摘　　要：研究带有非局部条件半线性中立型测度方程的可控性,通过将所讨论的问题转化为积分算子不动点问题,在半群非紧的条件下,应用算子半群理论、Kuratowski非紧性测度及不动点理论得出方程温和解可控性的充分条件,推广许多已有结果,最后作为应用,给出一个实例来说明所得结果的可行性.This paper studies the controllability of semi-linear neutral measure equations with nonlocal conditions,transforms the problem discussed into the fixed point problem of integral operators.Under the condition that semi-groups are non-compact,the sufficient conditions for the controllability of mild solutions of the equations are obtained by using operator semi-group theory,Kuratowski non-compact measure and fixed point theory.Many existing results are generalized as applications,and an example is given to illustrate the feasibility of the results.

关 键 词：非局部条件 半线性测度方程 非紧性测度 不动点 可控性 

分 类 号：O175[理学—数学]