Time Scales and Mathematica

Abstract

Time scales are a model of time, where the continuous and the discrete time cases are considered and merged into the same framework. In this paper some basic definitions of the time scale calculus are presented. Simultaneously, a package in Mathematica is introduced.

In Portuguese, 18 pages. Accepted (16/November/2009) for publication, in a slightly abridged form of 15 pages, in "Boletim da SPM" (Bulletin of the Portuguese Mathematical Society)

References in corpus (7)

• Noether's Theorem on Time Scales
• Calculus of Variations on Time Scales with Nabla Derivatives
• Higher-Order Calculus of Variations on Time Scales
• Diamond-$\alpha$ Jensen's Inequality on Time Scales
• The diamond-alpha Riemann integral and mean value theorems on time scales
• Strong Minimizers of the Calculus of Variations on Time Scales and the Weierstrass Condition
• Avoidance Control on Time Scales

Cited by in corpus (1)

• Optimal Control and Numerical Optimization Applied to Epidemiological Models