메뉴 건너뛰기




Volumn 58, Issue 4, 2009, Pages 205-212

Strong minimizers of the calculus of variations on time scales and the Weierstrass condition

Author keywords

Calculus of variations; Strong minimizers; Time scales; Weierstrass optimality condition

Indexed keywords


EID: 73649140946     PISSN: 17366046     EISSN: 17367530     Source Type: Journal    
DOI: 10.3176/proc.2009.4.02     Document Type: Article
Times cited : (23)

References (22)
  • 1
    • 66249145058 scopus 로고    scopus 로고
    • Isoperimetric problems on time scales with nabla derivatives
    • Almeida, R. and Torres, D. F. M. Isoperimetric problems on time scales with nabla derivatives. J. Vib. Control, 2009, 15, 951-958.
    • (2009) J. Vib. Control , vol.15 , pp. 951-958
    • Almeida, R.1    Torres, D.F.M.2
  • 3
    • 37849045292 scopus 로고    scopus 로고
    • Atici, F. M. and Uysal, F. A. production-inventory model of HMMS on time scales. Appl. Math. Lett., 2008, 21, 236-243.
    • Atici, F. M. and Uysal, F. A. production-inventory model of HMMS on time scales. Appl. Math. Lett., 2008, 21, 236-243.
  • 4
    • 1642438005 scopus 로고    scopus 로고
    • Variational q-calculus
    • Bangerezako, G. Variational q-calculus. J. Math. Anal. Appl., 2004, 289, 650-665.
    • (2004) J. Math. Anal. Appl , vol.289 , pp. 650-665
    • Bangerezako, G.1
  • 6
    • 12844271148 scopus 로고    scopus 로고
    • Calculus of variations on time scales
    • Bohner, M. Calculus of variations on time scales. Dynam. Syst. Appl., 2004, 13, 339-349.
    • (2004) Dynam. Syst. Appl , vol.13 , pp. 339-349
    • Bohner, M.1
  • 7
    • 40149104194 scopus 로고    scopus 로고
    • Riemann and Lebesgue integration
    • Bohner, M. and Peterson, A. C, eds, Birkhauser Boston, Boston, MA
    • Bohner, M. and Guseinov, G. Sh. Riemann and Lebesgue integration. In Advances in Dynamic Equations on Time Scales (Bohner, M. and Peterson, A. C., eds). Birkhauser Boston, Boston, MA, 2003, 117-163.
    • (2003) Advances in Dynamic Equations on Time Scales , pp. 117-163
    • Bohner, M.1    Guseinov, G.S.2
  • 8
    • 12844260768 scopus 로고    scopus 로고
    • Partial differentiation on time scales
    • Bohner, M. and Guseinov, G. Sh. Partial differentiation on time scales. Dynam. Syst. Appl., 2004, 13, 351-379.
    • (2004) Dynam. Syst. Appl , vol.13 , pp. 351-379
    • Bohner, M.1    Guseinov, G.S.2
  • 9
    • 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., 2007, 54, 45-57.
    • (2007) Comput. Math. Appl , vol.54 , pp. 45-57
    • Bohner, M.1    Guseinov, G.S.2
  • 11
    • 0142064522 scopus 로고    scopus 로고
    • Bohner, M. and Peterson, A, eds, Birkhäuser Boston, Boston, MA
    • Bohner, M. and Peterson, A. (eds) Advances in Dynamic Equations on Time Scales. Birkhäuser Boston, Boston, MA, 2003.
    • (2003) Advances in Dynamic Equations on Time Scales
  • 13
    • 40649083669 scopus 로고    scopus 로고
    • Remarks on the calculus of variations on time scales
    • Ferreira, R. A. C. and Torres, D. F. M. Remarks on the calculus of variations on time scales. Int. J. Ecol. Econ. Stat., 2007, 9, 65-73.
    • (2007) Int. J. Ecol. Econ. Stat , vol.9 , pp. 65-73
    • Ferreira, R.A.C.1    Torres, D.F.M.2
  • 16
    • 61349150026 scopus 로고    scopus 로고
    • Weak maximum principle and accessory problem for control problems on time scales
    • Hilscher, R. and Zeidan, V. Weak maximum principle and accessory problem for control problems on time scales. Nonlinear Anal., 2009, 70, 3209-3226.
    • (2009) Nonlinear Anal , vol.70 , pp. 3209-3226
    • Hilscher, R.1    Zeidan, V.2
  • 20
    • 70350302594 scopus 로고    scopus 로고
    • Necessary and sufficient conditions for local Pareto optimality on time scales
    • in press
    • Malinowska, A. B. and Torres, D. F. M. Necessary and sufficient conditions for local Pareto optimality on time scales. J. Math. Sci. (N. Y), 2009, in press.
    • (2009) J. Math. Sci. (N. Y)
    • Malinowska, A.B.1    Torres, D.F.M.2
  • 21
    • 72149132561 scopus 로고    scopus 로고
    • Martins, N. and Torres, D. F. M. Calculus of variations on time scales with nabla derivatives. arXiv:0807.2596vl[math. OC]; doi: 10.1016/j.na.2008.11. 035.
    • Martins, N. and Torres, D. F. M. Calculus of variations on time scales with nabla derivatives. arXiv:0807.2596vl[math. OC]; doi: 10.1016/j.na.2008.11. 035.
  • 22
    • 49049117538 scopus 로고    scopus 로고
    • Hamilton-Jacobi-Bellman equations and approximate dynamic programming on time scales
    • Seiffertt, J., Sanyal, S., and Wunsch, D. C. Hamilton-Jacobi-Bellman equations and approximate dynamic programming on time scales. IEEE Trans. Syst. Man Cybern., Part B: Cybern., 2008, 38, 918-923.
    • (2008) IEEE Trans. Syst. Man Cybern., Part B: Cybern , vol.38 , pp. 918-923
    • Seiffertt, J.1    Sanyal, S.2    Wunsch, D.C.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.