Higher-order calculus of variations on time scales

Mathematical Control Theory and Finance

Volumn , Issue , 2008, Pages 149-159

  Ferreira, Rui A C ^a   Torres, Delfim F M ^a  

^a UNIVERSITY OF AVEIRO   (Portugal)

Author keywords

calculus of variations; delta derivatives of higher order; Euler Lagrange equations; time scales

Indexed keywords

EID: 84895308971     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1007/978-3-540-69532-5_9     Document Type: Chapter

References (4)

1. Atici FM, Biles DC, Lebedinsky A (2006) An application of time scales to economics. Math. Comput. Modelling 43(7-8):718-726.
2. Bohner M (2004) Calculus of variations on time scales. Dyn. Sys. and Appl. 272(13):339-349.
3. Bohner M, Peterson A (2001) Dynamic equations on time scales: An introduction with applications. Birkhauser, Boston
4. Hilscher R, Zeidan V (2004) Calculus of variations on time scales: Weak local piecewise C1 rd solutions with variable endpoints. J. Math. Anal. Appl. 289(1):143-166.