Summary
We prove a version of the Euler-Lagrange equations for certain problems of the calculus of variations on time scales with higher-order delta derivatives.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Atici FM, Biles DC, Lebedinsky A (2006) An application of time scales to economics. Math. Comput. Modelling 43(7–8):718–726.
Bohner M (2004) Calculus of variations on time scales. Dyn. Sys. and Appl. 272(13):339–349.
Bohner M, Peterson A (2001) Dynamic equations on time scales: an introduction with applications. Birkhäuser, Boston.
Hilscher R, Zeidan V (2004) Calculus of variations on time scales: weak local rd solutions with variable endpoints. J. Math. Anal. Appl. 289(1):143.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2008 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Ferreira, R.A.C., Torres, D.F.M. (2008). Higher-Order Calculus of Variations on Time Scales. In: Sarychev, A., Shiryaev, A., Guerra, M., Grossinho, M.d.R. (eds) Mathematical Control Theory and Finance. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-69532-5_9
Download citation
DOI: https://doi.org/10.1007/978-3-540-69532-5_9
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-69531-8
Online ISBN: 978-3-540-69532-5
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)