Difference equations on weighted graphs

Alain Bensoussan, José-Luis Menaldi

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

54 Citations (Scopus)

Abstract

In discrete systems graphs setting, we mimic the variational formulation of boundary value problems. Working on with un- normalized weights rather than normalized weights, discrete Dirichlet and Neumann problems, and their probabilistic interpretations are discussed. Moreover, non-symmetric forms, non-variational setting, and an identification problem are also considered. © Heldermann Verlag.
Original languageEnglish
Pages (from-to)13-44
JournalJournal of Convex Analysis
Volume12
Issue number1
Publication statusPublished - 2005
Externally publishedYes

Research Keywords

  • Connected graphs
  • Connectivity
  • Discrete maximum principles
  • Markov chains
  • Variational inequalities

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