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Volumn 342, Issue 2, 2008, Pages 1220-1226

Noether's theorem on time scales

Author keywords

Calculus of variations; Conservation laws; Noether's theorem; Time scales

Indexed keywords


EID: 40649129673     PISSN: 0022247X     EISSN: 10960813     Source Type: Journal    
DOI: 10.1016/j.jmaa.2008.01.018     Document Type: Article
Times cited : (109)

References (24)
  • 5
    • 79960705826 scopus 로고    scopus 로고
    • Z. Bartosiewicz, E. Pawłuszewicz, Dynamic feedback equivalence of nonlinear systems on time scales, in: Proceedings of 16th IFAC World Congress, Prague, 4-8 July 2005
    • Z. Bartosiewicz, E. Pawłuszewicz, Dynamic feedback equivalence of nonlinear systems on time scales, in: Proceedings of 16th IFAC World Congress, Prague, 4-8 July 2005
  • 6
    • 12844271148 scopus 로고    scopus 로고
    • Calculus of variations on time scales
    • Bohner M. Calculus of variations on time scales. Dynam. Systems Appl. 13 (2004) 339-349
    • (2004) Dynam. Systems Appl. , vol.13 , pp. 339-349
    • Bohner, M.1
  • 7
    • 34347204156 scopus 로고    scopus 로고
    • Double integral calculus of variations on time scales
    • Bohner M., and Guseinov G.Sh. Double integral calculus of variations on time scales. Comput. Math. Appl. 54 (2007) 45-57
    • (2007) Comput. Math. Appl. , vol.54 , pp. 45-57
    • Bohner, M.1    Guseinov, G.Sh.2
  • 9
    • 40649100177 scopus 로고    scopus 로고
    • R.A.C. Ferreira, D.F.M. Torres, Higher-order calculus of variations on time scales, in: Proceedings of the Workshop on Mathematical Control Theory and Finance, Lisbon, 10-14 April 2007, pp. 150-158
    • R.A.C. Ferreira, D.F.M. Torres, Higher-order calculus of variations on time scales, in: Proceedings of the Workshop on Mathematical Control Theory and Finance, Lisbon, 10-14 April 2007, pp. 150-158
  • 10
  • 11
    • 40649122643 scopus 로고    scopus 로고
    • G.S.F. Frederico, Extensions of Noether's theorem in the calculus of variations and optimal control, PhD thesis, University of Cape Verde, 2007 (in Portuguese)
    • G.S.F. Frederico, Extensions of Noether's theorem in the calculus of variations and optimal control, PhD thesis, University of Cape Verde, 2007 (in Portuguese)
  • 12
    • 34250648556 scopus 로고    scopus 로고
    • A formulation of Noether's theorem for fractional problems of the calculus of variations
    • Frederico G.S.F., and Torres D.F.M. A formulation of Noether's theorem for fractional problems of the calculus of variations. J. Math. Anal. Appl. 334 (2007) 834-846
    • (2007) J. Math. Anal. Appl. , vol.334 , pp. 834-846
    • Frederico, G.S.F.1    Torres, D.F.M.2
  • 14
    • 0001028781 scopus 로고    scopus 로고
    • Differential and difference calculus-unified!
    • Proceedings of the Second World Congress of Nonlinear Analysts, Part 5. Athens, 1996
    • Hilger S. Differential and difference calculus-unified!. Proceedings of the Second World Congress of Nonlinear Analysts, Part 5. Athens, 1996. Nonlinear Anal. 30 (1997) 2683-2694
    • (1997) Nonlinear Anal. , vol.30 , pp. 2683-2694
    • Hilger, S.1
  • 16
    • 0004249150 scopus 로고    scopus 로고
    • Calculus of Variations
    • Cambridge Univ. Press, Cambridge
    • Jost J., and Li-Jost X. Calculus of Variations. Cambridge Stud. Adv. Math. vol. 64 (1998), Cambridge Univ. Press, Cambridge
    • (1998) Cambridge Stud. Adv. Math. , vol.64
    • Jost, J.1    Li-Jost, X.2
  • 17
    • 0040827065 scopus 로고
    • First integrals in the discrete variational calculus
    • Logan J.D. First integrals in the discrete variational calculus. Aequationes Math. 9 (1973) 210-220
    • (1973) Aequationes Math. , vol.9 , pp. 210-220
    • Logan, J.D.1
  • 18
    • 84930761411 scopus 로고
    • Invariant variation problems
    • translated from German
    • Noether E. Invariant variation problems. Transport Theory Statist. Phys. 1 3 (1971) 186-207 translated from German
    • (1971) Transport Theory Statist. Phys. , vol.1 , Issue.3 , pp. 186-207
    • Noether, E.1
  • 20
    • 0001003724 scopus 로고
    • Generalizations of Noether's theorem in classical mechanics
    • Sarlet W., and Cantrijn F. Generalizations of Noether's theorem in classical mechanics. SIAM Rev. 23 (1981) 467-494
    • (1981) SIAM Rev. , vol.23 , pp. 467-494
    • Sarlet, W.1    Cantrijn, F.2
  • 21
    • 0038340532 scopus 로고    scopus 로고
    • On the Noether theorem for optimal control
    • Torres D.F.M. On the Noether theorem for optimal control. European J. Control 8 (2002) 56-63
    • (2002) European J. Control , vol.8 , pp. 56-63
    • Torres, D.F.M.1
  • 22
    • 40649114121 scopus 로고    scopus 로고
    • Integrals of motion for discrete-time optimal control problems
    • Control Applications of Optimisation 2003. Bars R., and Gyurkovics E. (Eds)
    • Torres D.F.M. Integrals of motion for discrete-time optimal control problems. In: Bars R., and Gyurkovics E. (Eds). Control Applications of Optimisation 2003. IFAC Workshop Ser. (2003) 33-38
    • (2003) IFAC Workshop Ser. , pp. 33-38
    • Torres, D.F.M.1
  • 23
    • 24944485940 scopus 로고    scopus 로고
    • Proper extensions of Noether's symmetry theorem for nonsmooth extremals of the calculus of variations
    • Torres D.F.M. Proper extensions of Noether's symmetry theorem for nonsmooth extremals of the calculus of variations. Commun. Pure Appl. Anal. 3 (2004) 491-500
    • (2004) Commun. Pure Appl. Anal. , vol.3 , pp. 491-500
    • Torres, D.F.M.1
  • 24
    • 1542366075 scopus 로고    scopus 로고
    • The Calculus of Variations
    • Springer-Verlag, New York
    • van Brunt B. The Calculus of Variations. Universitext (2004), Springer-Verlag, New York
    • (2004) Universitext
    • van Brunt, B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.