Laplace Transformation

Urs Graf ()
Additional contact information
Urs Graf: Berne University of Applied Sciences, Biel School of Engineering and Architecture

Chapter Chapter 1 in Applied Laplace Transforms and z-Transforms for Scientists and Engineers, 2004, pp 1-76 from Springer

Abstract: Abstract Let f(t) be a real or complex-valued function defined on the positive part R+ of the real axis. The Laplace transform of f(t) is defined as the function F(s) (1.1) $$F\left( s \right): = \int_0^\infty {e^{ - st} } f\left( t \right)dt,$$ provided that the integral exists. We also say, f(t) is the original function or for short the original and F(s) is its image function or its image. For a given image function F(s), we call f(t) the inverse Laplace transform of F(s). It is not necessary but we prefer to extend always the domain of an original function f(t) to the left by defining f(t) = 0 for t

Keywords: Original Function; Image Function; Laplace Transformation; Forced Response; Integration Rule (search for similar items in EconPapers)
Date: 2004
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-0348-7846-3_1

Ordering information: This item can be ordered from
http://www.springer.com/9783034878463

DOI: 10.1007/978-3-0348-7846-3_1

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().