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 language | English |
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Pages (from-to) | 621-637 |
Number of pages | 17 |
Journal | Nonlinear Studies |
Volume | 18 |
Issue number | 4 |
State | Published - 2011 |
Scopus Subject Areas
- Modeling and Simulation
- Applied Mathematics
Keywords
- Boundary value problems
- Dichotomy
- Object-oriented design
- Time scale
- Well conditioning