Existence and relaxation for subdifferential inclusions with unbounded perturbation
成果类型：
Article
署名作者：
Timoshin, Sergey A.
署名单位：
Irkutsk Science Centre of the Russian Academy of Sciences; Russian Academy of Sciences; Matrosov Institute for System Dynamics & Control Theory SB RAS
刊物名称：
MATHEMATICAL PROGRAMMING
ISSN/ISSBN：
0025-5610
DOI：
10.1007/s10107-016-1104-5
发表日期：
2017
页码：
65-85
关键词：
摘要：
We consider a differential inclusion of subdifferential type with a nonconvex and unbounded valued perturbation. Existence and relaxation results are obtained for this inclusion. By relaxation we mean approximation of a solution of the differential inclusion with convexified perturbation by solutions of the given inclusion. The traditional condition of Lipschitz continuity for such kind of problems is weakened and a somehow more appropriate in the context of unbounded valued multifunctions truncated version of it is considered instead.