Paper:Billy Jackson/Partial dynamic equations on time scales

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Billy Jackson: Partial dynamic equations on time scales

Published $2006$, Journal of Computational and Applied Mathematics.

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1. Introduction and motivation
Definition 1
2. Multivariable calculus on time scales
3. Partial differential operators
3.1 The homogeneous heat operator
Delta heat equation
3.1 The homogeneous wave operator
Delta wave equation
4. Nonhomogeneous operators
5. Mixed time scales
Time scale
Real numbers
Quantum q greater than 1
Multiples of integers
Forward jump
Backward jump
Right scattered
Right dense
Left scattered
Left dense
Isolated point
Forward graininess