Periodic solutions for implicit evolution inclusions

Papageorgiou, Nikolaos S. (author), Rǎdulescu, Vicenţiu (author), Repovš, Dušan (author)

We consider a nonlinear implicit evolution inclusion driven by a nonlinear, nonmonotone, time-varying set-valued map and defined in the framework of an evolution triple of Hilbert spaces. Using an approximation technique and a surjectivity result for parabolic operators of monotone type, we show the existence of a periodic solution.

• Language: English
• Keywords: evolution triple, compact embedding, pseudo-monotone map, coercive map, implicit inclusion, periodic solution
• Work type: Article
• Typology: 1.01 - Original Scientific Article
• Organization: PEF - Faculty of Education; FMF - Faculty of Mathematics and Physics
• Year: 2019
• Number of pages: Str. 621-631
• Numbering: Vol. 8, iss. 3
• PID: 20.500.12556/RUL-108779
• UDC: 517.91/.95
• ISSN on article: 2163-2480
• DOI: 10.3934/eect.2019029
• COBISS.SI-ID: 18650457
• Publication date in RUL: 23.07.2019

Record is a part of a journal

• Title: Evolution equations and control theory
• Shortened title: Evol. equ. control theory
• Publisher: American Institute of Mathematical Sciences
• ISSN: 2163-2480
• COBISS.SI-ID: 525824025