Exponential dichotomy on time scales and admissibility of the pair (C^sub rd^^sup b^(T^sup +^,X),L^sup p^(T^sup +^,X))

(ProQuest: ... denotes formulae and/or non-USASCII text omitted; see image) In this paper, we study a relation between exponential dichotomy on time scales and admissibility of the pair ... for an evolution family on time scales. We establish a sufficient criterion for the existence of exponential dichotomy on time scales in terms of the admissibility of the pair ... for the evolution family. Conversely, with the help of exponential dichotomy on time scales, we give the admissibility of the pair ... for an input-output equation on time scales.