<em>R<sub>δ</sub></em>-structure of solutions set for a vector evolution inclusions defined on right half-line


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	R_δ-structure of solutions set for a vector evolution inclusions defined on right half-line


	Fixed Point Theory, Volume 19, No. 1, 2018, 123-140, February 1st, 2018 DOI: 10.24193/fpt-ro.2018.1.10 Authors: Yi Cheng, Ravi P. Agarwal and Sitian Qin Abstract: In this paper, we deal with the topological structure of a first order vector differential inclusion defined on right half-line. Under some general growth conditions, the R_δ structure of continue solution set for Cauchy problem on compact interval is investigated. Then by the inverse limit method, the R_δ 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 problems. Subsequently a optimal dual control problem is considered and an R_δ structure of attainable set based on the proven results is obtained. Key Words and Phrases: Vector differential inclusion, topological structure, nonlocal condition, inverse limit, growth condition, R_δ set. 2010 Mathematics Subject Classification: 34B15, 34B16, 37J40. Published on-line: February 1st, 2018. Abstract pdf Fulltext pdf Back to volume's table of contents