No CrossRef data available.
Article contents
Taylor expansions for continuous Stieltjes differential equations
Published online by Cambridge University Press: 17 April 2009
Extract
The general structure of Taylor expansions of functions of solutions of continuous Stieltjes differential equations is established. A compact formalism involving hierarchical sets of multi-indices and their associated remainder sets is used. The corresponding multiple Riemann-Stieltjes integrals of time and of the driving functions in the Stieltjes terms of the differential equations, necessarily of bounded variation and continuous here, appear in the expansions and their remainders.
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 48 , Issue 2 , October 1993 , pp. 325 - 336
- Copyright
- Copyright © Australian Mathematical Society 1993