Report
The Laplace transform of the derivative of a function with finite jumps
01 Jun 1968
Abstract
Generalized functions as developed by Laurent Schwartz are used to
include finite jump contributions to transforms of derivatives. The
expression of the Bilateral Laplace Transform of the derivative of a
piecewise continuous function is first derived and then specialized to
the unilateral transform.
Transform of a generalized derivative resolves some well-known apparent
contradictions.
and "actual" initial values disappears.
is restricted to ordinary differential equations, it can be extended to
partial differential equations.
It is shown that the use of the Laplace
In this new context the distinction between "prescribed"
Although the present investigation
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Details
- Title
- The Laplace transform of the derivative of a function with finite jumps
- Creators
- Leon Y Bahar - Drexel University
- Publisher
- National Aeronautics and Space Administration
- Resource Type
- Report
- Language
- English
- Academic Unit
- Mathematics
- Identifiers
- 991022048716004721