Project information

Optimality conditions on time scales

Project Identification
1K04001
Project Period
1/2004 - 8/2006
Investor / Pogramme / Project type
Ministry of Education, Youth and Sports of the CR
MU Faculty or unit
Faculty of Science
Keywords
Time scale, Quadratic functional, Variable endpoints, Conjugate and coupled point, Jacobi equation, Riccati equation, Nonnegativity, Positivity, Coercivity, Disconjugacy, Optimality conditions

The focus of this project is the study of 2nd order optimality conditions in
calculus of variations and optimal control problems on time scales.
These conditions are based on the nonnegativity (i.e. necessary optimality
conditions) and the positivity or coercivity (i.e. sufficient optimality
conditions) of the corresponding quadratic functionals of the second variation.
In particular, we will study their characterizations in terms of conjugate and
coupled points, and the solvability of the associated Jacobi and Riccati
dynamic equations.

Publications

Total number of publications: 11


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