A corollary of a theorem on positive solutions of Poincaré difference equations

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

It is known that the exponential growth rate of every positive solution of a Poincaré difference equation is a nonnegative eigenvalue of the limiting equation with a positive eigenvector. In this note we show how this discrete result implies its continuous counterpart.

Original languageEnglish
Title of host publicationAdvances in Difference Equations and Discrete Dynamical Systems - ICDEA
PublisherSpringer New York LLC
Pages199-205
Number of pages7
Volume212
ISBN (Print)9789811064081
DOIs
Publication statusPublished - Jan 1 2017
Event22nd International Conference on Difference Equations and Applications, ICDEA 2016 - Osaka, Japan
Duration: Jul 24 2016Jul 29 2016

Other

Other22nd International Conference on Difference Equations and Applications, ICDEA 2016
CountryJapan
CityOsaka
Period7/24/167/29/16

Keywords

  • Cone positivity
  • Growth rate
  • Lyapunov exponent
  • Ordinary differential equation
  • Poincaré difference equation

ASJC Scopus subject areas

  • Mathematics(all)

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  • Cite this

    Pituk, M. (2017). A corollary of a theorem on positive solutions of Poincaré difference equations. In Advances in Difference Equations and Discrete Dynamical Systems - ICDEA (Vol. 212, pp. 199-205). Springer New York LLC. https://doi.org/10.1007/978-981-10-6409-8_12