On the Asymptotic Stability and Contraction of an Evolution Equation

Authors

  • Maduabuchi Orakwelu
  • Michael Egwurube
  • Usman Aminu Bawa
  • Chidinma Nwosu

DOI:

https://doi.org/10.11113/matematika.v30.n.709

Abstract

An Evolution Equation on a Banach Space with m-accretive operator is considered. The solution of this Evolution Equation is shown to exist, asymptotically stable andcontract. Keywords: Evolution Equation; Asymptotic stability; Contraction; Banach Space; Existence. 2010 Mathematics Subject Classification:35B40

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Published

01-12-2014

Issue

Volume 30 (December 2014)

Section

Analysis and Algebra

License

Copyright of articles that appear in MATEMATIKA: MJIAM belongs exclusively to Penerbit UTM Press, Universiti Teknologi Malaysia. This copyright covers the rights to reproduce the article, including reprints, electronic reproductions or any other reproductions of similar nature.

How to Cite

On the Asymptotic Stability and Contraction of an Evolution Equation. (2014). MATEMATIKA, 30, 185–188. https://doi.org/10.11113/matematika.v30.n.709