Logarithm Problems

Lindsay A. Skinner ()
Additional contact information
Lindsay A. Skinner: University of Wisconsin - Milwaukee, Department of Mathematical Sciences

Chapter Chapter 4 in Singular Perturbation Theory, 2011, pp 49-70 from Springer

Abstract: Abstract We saw in Chapter 1 that logarithms arose as a result of integrating a function satisfying the conditions of Theorem 1. Suppose, for a general result, that $$ {f(x,X,\varepsilon)}\,\epsilon\, {\rm{C}^\infty}\,\left([0,1]\,\times\,[0,\infty]\,\times\,[0,\varepsilon_0]\,\right) {\rm{for\, some\,\,\varepsilon_0\,>\,0}}$$ and 4.1 $$\,\,\,\, y(x,\varepsilon)\, = \,{\rm{x}^-1} \,\int^{x}_0 {\rm{f}}(t,t/\varepsilon,\,\varepsilon){\rm{dt}}.$$

Date: 2011
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:978-1-4419-9958-0_4

Ordering information: This item can be ordered from
http://www.springer.com/9781441999580

DOI: 10.1007/978-1-4419-9958-0_4

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 ().