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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.