Quasi-semigroups of operators on homogeneous time scales

Abstract

This article discusses the concept of quasi-semigroups of bounded linear operators within the framework of time scales, encompassing both continuous and discrete cases. It extends the classical theory of quasi-semigroups of operators, which serves as a generalization of strongly continuous semigroups of operators in time scales. In addition, the text mentions providing applications in abstract evolution equations, indicating practical implications of this theoretical framework.

Keywords

• semigroups
• quasi-semigroups
• generator
• time-scales
• evolution equations
• primary: 47d06
• secondary: 34n05