R-STRUCTURE OF SOLUTIONS SET FOR A VECTOR EVOLUTION INCLUSIONS DEFINED ON RIGHT HALF-LINE
R-STRUCTURE OF SOLUTIONS SET FOR A VECTOR EVOLUTION INCLUSIONS DEFINED ON RIGHT HALF-LINE
复制标题
右半线上定义的矢量演化包含解集的 R 结构
作者：
Yi Cheng;Ravi P Agarwal;Si Tian Qin
本文研究了一阶矢量微分的拓扑结构。右半线上的内含物。在某些一般生长条件下，R结构继续存在。研究紧区间上柯西问题的解集。然后求逆极限。方法，也得到了非紧区间上的R结构。进一步，利用的相关结果。结构，我们得到了一类非局部问题解集的存在性和拓扑结构。在此基础上，研究了一个基于可得集的R结构的最优对偶控制问题。在此基础上得到了验证结果。
In this paper, we deal with the topological structure of a rst order vector dierential.inclusion dened on right half-line. Under some general growth conditions, the R structure of con-tinue.solution set for Cauchy problem on compact interval is investigated. Then by the inverse limit.method, the R structure is also obtained on noncompact interval. Further, using the related results of.structure, we obtain the existence and topological structure of solution set for some nonlocal prob-.lems. Subsequently a optimal dual control problem is considered and an R structure of attainable set based.on the proven results is obtained.