On variants of n-sensitivity in semiflows. Issue 8 (3rd August 2022)

• Record Type: Journal Article
• Authors: Thakur, Rahul; Das, Ruchi
• Is Part Of: Journal of difference equations and applications. Volume 28:Issue 8(2022)
• Page Start: 1039
• Page End: 1053
• Publication Date: 2022-08-03
• Subjects: Semiflow -- n-sensitivity -- multi-n-sensitivity -- thick n-sensitivity -- thickly syndetic n-sensitivity; 37B05 -- 37B99; Difference equations -- Periodicals; 515.625
• DOI: 10.1080/10236198.2022.2106135
• Languages: English
• ISSNs: 1023-6198

Abstract

Abstract : We introduce various types of n -sensitivity, such as multi- n -sensitivity, strong n -sensitivity, syndetic n -sensitivity, thick n -sensitivity and thickly syndetic n -sensitivity in general semiflows, and provide several sufficient conditions under which a semiflow possesses such notions. We prove that multi- n -sensitivity, thick n -sensitivity and thickly syndetic n -sensitivity are all equivalent for an almost open P - M -semiflow whose acting semigroup is discrete and abelian. We also discuss the relationships among these notions, and provide examples wherever implications are not true.