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1. ON INTEGRALS OF VECTOR-VALUED FUNCTIONS ON TIME SCALES.

Author

CICHOŃ, MIECZYSŁAW

Subjects
*RIEMANN integral, *PETTIS integral, *VECTOR valued functions, *DYNAMIC models, *BANACH spaces, *CAUCHY problem
Abstract

The main goal of the paper is to define new type of integrals for vector-valued functions on time scales. This allows to make possible the advantages of dynamic equations also for vector-valued functions i.e. for dynamic modeling in Banach spaces. To do it we define some appropriate integrals for vector-valued functions on time scales and we prove their properties. We emphasize on the particular ones, which are useful for solving dynamic equations in Banach spaces. [ABSTRACT FROM AUTHOR]

Published
2011

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