Difference between revisions of "Paper:Billy Jackson/Partial dynamic equations on time scales"
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===Contents=== | ===Contents=== | ||
:1. Introduction and motivation | :1. Introduction and motivation | ||
| − | ::[[Delta | + | ::[[Partial Delta Derivative|Definition 1]] |
:2. Multivariable calculus on time scales | :2. Multivariable calculus on time scales | ||
:3. Partial differential operators | :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 | :4. Nonhomogeneous operators | ||
:5. Mixed time scales | :5. Mixed time scales | ||
:Appendix | :Appendix | ||
| + | ::[[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]] | ||
| + | |||
[[Category:Paper]] | [[Category:Paper]] | ||
Latest revision as of 15:00, 15 January 2023
Billy Jackson: Partial dynamic equations on time scales
Published $2006$, Journal of Computational and Applied Mathematics.
Online copies
Contents
- 1. Introduction and motivation
- 2. Multivariable calculus on time scales
- 3. Partial differential operators
- 3.1 The homogeneous heat operator
- 3.1 The homogeneous wave operator
- 4. Nonhomogeneous operators
- 5. Mixed time scales
- Appendix
