Metrics that suit for dichotomy, well conditioning and object oriented design on measure chains

K. N. Murty, Yan Wu, Viswanadh Kanuri

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

The paper deals with Dichotomy, well conditioning of two-point boundary value problems on time scale dynamical systems using a suitable norm on Rn. The results presented in this paper on Dichotomy and well conditions of two-point boundary value problems unify both continuous and discrete systems and generalizes these results on time scale dynamical systems. We also present empirical validation of a set of theoretical-grounded metrics on object-oriented design. Fixed point theory on metric spaces is used as a tool to obtain the required object in object oriented designs and in designing flows.

Original languageEnglish
Pages (from-to)621-637
Number of pages17
JournalNonlinear Studies
Volume18
Issue number4
StatePublished - 2011

Scopus Subject Areas

  • Modeling and Simulation
  • Applied Mathematics

Keywords

  • Boundary value problems
  • Dichotomy
  • Object-oriented design
  • Time scale
  • Well conditioning

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