Projection solutions of Frobenius-Perron operator equations-Reference-Cited by-同舟云学术

Projection solutions of Frobenius-Perron operator equations

Published:1993 Issue:3 Volume:16 Page:465-484
ISSN:0161-1712
Container-title:International Journal of Mathematics and Mathematical Sciences
language:en
Short-container-title:International Journal of Mathematics and Mathematical Sciences

Author:

Ding Jiu¹²,Li Tien Tien¹²

Affiliation:

1. Department of Mathematics, University of Southern Mississippi, Hattiesburg, MS 39406, USA

2. Department of Mathematics, Michigan State University, East Lansing, MI 48824, USA

Abstract

We construct in this paper the first order and second order piecewise polynomial finite approximation schemes for the computation of invariant measures of a class of nonsingular measurable transformations on the unit interval of the real axis. These schemes are based on the Galerkin's projection method forL1-spaces and are proved to be convergent for the class of Frobenius-Perron operators.

Funder

National Science Foundation

Publisher

Hindawi Limited

Subject

Mathematics (miscellaneous)

Link

http://downloads.hindawi.com/journals/ijmms/1993/694096.pdf

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