A Note on the Chain Rule on Time Scales

Year 2008, Volume: 1 Issue: 9, 1 - 6, 01.04.2008

Thabet Abdeljawad

Abstract

Keywords

-

A Note on the Chain Rule on Time Scales

Abstract

It is known, in general, that the chain rule on general time scale derivatives does not behave well as in
the case of usual derivative. However, we discuss some special cases where the time scale derivative has the
usual chain rule. The results are analyzed for both the delta and nabla time scales derivatives.

Keywords

Time scales derivative, q-time scale, H-time scale, Forward jump operator, Backward jump operator, rd-continuous, ld-continuous, Chain rule