메뉴 건너뛰기




Volumn 33, Issue 4, 2003, Pages 1337-1351

A remark on discrete quadratic functionals with separable endpoints

Author keywords

Conjoined basis; Discrete quadratic functional; Linear Hamiltonian difference system; Riccati difference equation

Indexed keywords


EID: 24344473833     PISSN: 00357596     EISSN: None     Source Type: Journal    
DOI: 10.1216/rmjm/1181075467     Document Type: Article
Times cited : (2)

References (10)
  • 1
    • 0000819945 scopus 로고    scopus 로고
    • Discrete linear Hamiltonian systems: A survey
    • Discrete and continuous Hamiltonian systems (R.P. Agarwal and M. Bohner, eds.)
    • R.P. Agarwal, C.D. Ahlbrandt, M. Bohner and A. Peterson, Discrete linear Hamiltonian systems: A survey, in Discrete and continuous Hamiltonian systems (R.P. Agarwal and M. Bohner, eds.), Dynam. Syst. Appl. 8 (3-4), 1999, pp. 307-333.
    • (1999) Dynam. Syst. Appl. , vol.8 , Issue.3-4 , pp. 307-333
    • Agarwal, R.P.1    Ahlbrandt, C.D.2    Bohner, M.3    Peterson, A.4
  • 2
    • 0030147307 scopus 로고    scopus 로고
    • Linear Hamiltonian difference systems: Disconjugacy and Jacobi-type conditions
    • M. Bohner, Linear Hamiltonian difference systems: Disconjugacy and Jacobi-type conditions, J. Math. Anal. Appl. 199 (1996), 804-826.
    • (1996) J. Math. Anal. Appl , vol.199 , pp. 804-826
    • Bohner, M.1
  • 3
    • 0000613781 scopus 로고    scopus 로고
    • Riccati matrix difference equations and linear Hamiltonian difference systems
    • M. Bohner, Riccati matrix difference equations and linear Hamiltonian difference systems, Dynam. Contin. Discrete Inpuls. Systems 2 (1996), 147-159.
    • (1996) Dynam. Contin. Discrete Inpuls. Systems , vol.2 , pp. 147-159
    • Bohner, M.1
  • 4
    • 0000679286 scopus 로고    scopus 로고
    • Discrete Reid roundabout theorems, in Discrete and continuous Hamiltonian systems
    • (R.P. Agarwal and M. Bohner, eds.)
    • M. Bohner, O. Dosly and W. Kratz, Discrete Reid roundabout theorems, in Discrete and continuous Hamiltonian systems (R.P. Agarwal and M. Bohner, eds.), Dynam. Syst. Appl. 8 (3-4), 1999, pp. 345-352.
    • (1999) Dynam. Syst. Appl , vol.8 , Issue.3-4 , pp. 345-352
    • Bohner, M.1    Dosly, O.2    Kratz, W.3
  • 5
    • 0001341145 scopus 로고
    • Disconjugacy for linear Hamiltonian difference systems
    • L. Erbe and P. Yan, Disconjugacy for linear Hamiltonian difference systems, J. Math. Anal. Appl. 167 (1992), 355-367.
    • (1992) J. Math. Anal. Appl , vol.167 , pp. 355-367
    • Erbe, L.1    Yan, P.2
  • 6
    • 0036000443 scopus 로고    scopus 로고
    • Second order sufficiency criteria for a discrete optimal control problem
    • R. Hilscher and V. Zeidan, Second order sufficiency criteria for a discrete optimal control problem, J. Difference Equ. Appl., 8 (6) (2002), 573-602.
    • (2002) J. Difference Equ. Appl. , vol.8 , Issue.6 , pp. 573-602
    • Hilscher, R.1    Zeidan, V.2
  • 7
    • 0036948330 scopus 로고    scopus 로고
    • Coupled intervals in the discrete calculus of variations: Necessity and sufficiency
    • R. Hilscher and V. Zeidan, Coupled intervals in the discrete calculus of variations: Necessity and sufficiency, J. Math. Anal. Appl. 276 (1) (2002), 396-421.
    • (2002) J. Math. Anal. Appl , vol.276 , Issue.1 , pp. 396-421
    • Hilscher, R.1    Zeidan, V.2
  • 8
    • 0036791541 scopus 로고    scopus 로고
    • Discrete optimal control: Second order optimality conditions
    • R. Hilscher and V. Zeidan, Discrete optimal control: Second order optimality conditions, J. Difference Equ. Appl., 8 (10) (2002), 875-896.
    • (2002) J. Difference Equ. Appl. , vol.8 , Issue.10 , pp. 875-896
    • Hilscher, R.1    Zeidan, V.2
  • 9
    • 0026754862 scopus 로고
    • Sufficiency criteria via focal points and via coupled points
    • V. Zeidan, Sufficiency criteria via focal points and via coupled points, SIAM J. Control Optim. 30 (1992), 82-98.
    • (1992) SIAM J. Control Optim , vol.30 , pp. 82-98
    • Zeidan, V.1
  • 10
    • 0000910491 scopus 로고    scopus 로고
    • Nonnegativity and positivity of a quadratic functional, in Discrete and continuous Hamiltonian systems
    • (R.P. Agarwal and M. Bohner, eds.)
    • V. Zeidan, Nonnegativity and positivity of a quadratic functional, in Discrete and continuous Hamiltonian systems (R.P. Agarwal and M. Bohner, eds.), Dynam. Syst. Appl. 8, 1999, pp. 571-588.
    • (1999) Dynam. Syst. Appl. , vol.8 , pp. 571-588
    • Zeidan, V.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.