On convexity of solutions of ordinary differential equations

Research output: Contribution to journal › Research article › Contributed › peer-review

Contributors

  • M. Keller-Ressel - , ETH Zurich (Author)
  • E. Mayerhofer - , University of Vienna, Vienna University of Economics and Business (Author)
  • A. G. Smirnov - , RAS - P.N. Lebedev Physics Institute (Author)

Abstract

We prove a result on the convex dependence of solutions of ordinary differential equations on an ordered finite-dimensional real vector space with respect to the initial data.

Details

Original languageEnglish
Pages (from-to)247-253
Number of pages7
JournalJournal of mathematical analysis and applications
Volume368
Issue number1
Publication statusPublished - Aug 2010
Peer-reviewedYes
Externally publishedYes

External IDs

ORCID /0000-0003-0913-3363/work/167706918

Keywords

ASJC Scopus subject areas

Keywords

  • Convexity, Initial value problem, Ordered linear spaces, Quasi-monotonicity