메뉴 건너뛰기




Volumn 54, Issue 1, 2007, Pages 45-57

Double integral calculus of variations on time scales

Author keywords

Double delta integrals; Euler Lagrange equation; Partial delta derivatives; Time scales

Indexed keywords

EULER EQUATIONS; LAGRANGE MULTIPLIERS;

EID: 34347204156     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2006.10.032     Document Type: Article
Times cited : (85)

References (18)
  • 3
    • 0003811971 scopus 로고    scopus 로고
    • Kluwer Academic Publishers, Boston
    • Ahlbrandt C.D., and Peterson A.C. Discrete Hamiltonian Systems: Difference Equations, Continued Fractions, and Riccati Equations. Kluwer Texts in the Mathematical Sciences vol. 16 (1996), Kluwer Academic Publishers, Boston
    • (1996) Kluwer Texts in the Mathematical Sciences , vol.16
    • Ahlbrandt, C.D.1    Peterson, A.C.2
  • 4
    • 34347234031 scopus 로고    scopus 로고
    • G.Sh. Guseinov, Discrete calculus of variations, in: K. Tas, D. Baleanu, D. Krupka, O. Krupka (Eds.), Global Analysis and Applied Mathematics, vol. 729, New York, 2004, pp. 170-176. American Institute of Physics Conference Proceedings
  • 5
    • 24344489504 scopus 로고    scopus 로고
    • Nonnegativity and positivity of quadratic functionals in discrete calculus of variations: Survey
    • Hilscher R., and Zeidan V. Nonnegativity and positivity of quadratic functionals in discrete calculus of variations: Survey. J. Difference Equ. Appl. 11 (2005) 857-875
    • (2005) J. Difference Equ. Appl. , vol.11 , pp. 857-875
    • Hilscher, R.1    Zeidan, V.2
  • 7
    • 0000285041 scopus 로고    scopus 로고
    • Discrete versions of continuous isoperimetric problems
    • Ahlbrandt C.D., and Harmsen B. Discrete versions of continuous isoperimetric problems. J. Difference Equ. Appl. 3 (1998) 449-462
    • (1998) J. Difference Equ. Appl. , vol.3 , pp. 449-462
    • Ahlbrandt, C.D.1    Harmsen, B.2
  • 8
    • 0242614601 scopus 로고
    • A unified approach to continuous and discrete dynamics
    • Qualitative Theory of Differential Equations (Szeged, 1988), North-Holland, Amsterdam
    • Aulbach B., and Hilger S. A unified approach to continuous and discrete dynamics. Qualitative Theory of Differential Equations (Szeged, 1988). Colloq. Math. Soc. János Bolyai vol. 53 (1990), North-Holland, Amsterdam 37-56
    • (1990) Colloq. Math. Soc. János Bolyai , vol.53 , pp. 37-56
    • Aulbach, B.1    Hilger, S.2
  • 9
    • 84951604495 scopus 로고
    • Analysis on measure chains - a unified approach to continuous and discrete calculus
    • Hilger S. Analysis on measure chains - a unified approach to continuous and discrete calculus. Results Math. 18 (1990) 18-56
    • (1990) Results Math. , vol.18 , pp. 18-56
    • Hilger, S.1
  • 12
    • 0032166412 scopus 로고    scopus 로고
    • Quadratic functionals for second order matrix equations on time scales
    • Agarwal R.P., and Bohner M. Quadratic functionals for second order matrix equations on time scales. Nonlinear Anal. 33 7 (1998) 675-692
    • (1998) Nonlinear Anal. , vol.33 , Issue.7 , pp. 675-692
    • Agarwal, R.P.1    Bohner, M.2
  • 13
    • 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
  • 15
    • 0036538016 scopus 로고    scopus 로고
    • Partial differential equations on time scales
    • Dynamic Equations on Time Scales. Agarwal R.P., Bohner M., and O'Regan D. (Eds) (special issue)
    • Ahlbrandt C.D., and Morian C. Partial differential equations on time scales. In: Agarwal R.P., Bohner M., and O'Regan D. (Eds). Dynamic Equations on Time Scales. J. Comput. Appl. Math. 141 1-2 (2002) 35-55 (special issue)
    • (2002) J. Comput. Appl. Math. , vol.141 , Issue.1-2 , pp. 35-55
    • Ahlbrandt, C.D.1    Morian, C.2
  • 16
    • 12844260768 scopus 로고    scopus 로고
    • Partial differentiation on time scales
    • Bohner M., and Guseinov G.Sh. Partial differentiation on time scales. Dynam. Systems Appl. 13 (2004) 351-379
    • (2004) Dynam. Systems Appl. , vol.13 , pp. 351-379
    • Bohner, M.1    Guseinov, G.Sh.2
  • 17
    • 29444434784 scopus 로고    scopus 로고
    • Multiple integration on time scales
    • Bohner M., and Guseinov G.Sh. Multiple integration on time scales. Dynam. Systems Appl. 14 3-4 (2005) 579-606
    • (2005) Dynam. Systems Appl. , vol.14 , Issue.3-4 , pp. 579-606
    • Bohner, M.1    Guseinov, G.Sh.2
  • 18
    • 33750632767 scopus 로고    scopus 로고
    • Line integrals and Green's formula on time scales
    • Bohner M., and Guseinov G.Sh. Line integrals and Green's formula on time scales. J. Math. Anal. Appl. 326 2 (2007) 1124-1141
    • (2007) J. Math. Anal. Appl. , vol.326 , Issue.2 , pp. 1124-1141
    • Bohner, M.1    Guseinov, G.Sh.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.