A note on the time scale calculus of variations problems

Warning

This publication doesn't include Faculty of Sports Studies. It includes Faculty of Science. Official publication website can be found on muni.cz.

Authors	ŠIMON HILSCHER Roman
Year of publication	2009
MU Faculty or unit	Faculty of Science
Citation
Description	In this note we give a comparison of optimality conditions for time scale calculus of variations problems. In particular, we examine the optimality conditions for problems without the shift in the state variable in comparison with the known results for problems with shift. We show a simple transformation how to transfer from one type of problem the another one, which is particularly useful on the level of the corresponding Jacobi equations.
Related projects:	Mathematical structures and their physical applications Asymptotika, oscilace a kvadratické funkcionály v teorii dynamických rovnic Difference equations and dynamic equations on time scales II Second order optimality conditions for optimization problems