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Volumn 33, Issue 7, 1998, Pages 675-692

Quadratic functionals for second order matrix equations on time scales

Author keywords

Jacobi's condition; Self adjoint matrix equation; Sturmian theory; Time scale; Variational problem

Indexed keywords

FUNCTIONS; MATHEMATICAL OPERATORS; NUMERICAL METHODS; PIECEWISE LINEAR TECHNIQUES; RICCATI EQUATIONS; THEOREM PROVING; VARIATIONAL TECHNIQUES;

EID: 0032166412     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0362-546x(97)00675-5     Document Type: Article
Times cited : (64)

References (17)
  • 2
    • 0041092389 scopus 로고
    • Continued fraction representations of maximal and minimal solutions of a discrete matrix Riccati equation
    • C.D. Ahlbrandt, Continued fraction representations of maximal and minimal solutions of a discrete matrix Riccati equation, SIAM J. Math. Anal. 24 (6) (1993) 1597-1621.
    • (1993) SIAM J. Math. Anal. , vol.24 , Issue.6 , pp. 1597-1621
    • Ahlbrandt, C.D.1
  • 5
    • 0010748811 scopus 로고    scopus 로고
    • Positive definiteness of discrete quadratic functionals
    • C. Bandle (Ed.), Oberwolfach, 1995, ISNM, Birkhäuser, Basel
    • M. Bohner, Positive definiteness of discrete quadratic functionals, in: C. Bandle (Ed.), Conf. Proc. 7th Int. Conf. on General Inequalities, Oberwolfach, 1995, ISNM, vol. 123, Birkhäuser, Basel, 1997, pp. 55-60.
    • (1997) Conf. Proc. 7th Int. Conf. on General Inequalities , vol.123 , pp. 55-60
    • Bohner, M.1
  • 6
    • 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
  • 7
    • 0000141815 scopus 로고    scopus 로고
    • On disconjugacy for Sturm-Liouville difference equations
    • M. Bohner, On disconjugacy for Sturm-Liouville difference equations, J. Difference Equations 2 (2) (1996) 227-237.
    • (1996) J. Difference Equations , vol.2 , Issue.2 , pp. 227-237
    • Bohner, M.1
  • 8
    • 0039494918 scopus 로고    scopus 로고
    • Inequalities and asymptotics for Riccati matrix difference operators
    • in press
    • M. Bohner, O. Došlý, W. Kratz, Inequalities and asymptotics for Riccati matrix difference operators, J. Math. Anal. Appl., in press.
    • J. Math. Anal. Appl.
    • Bohner, M.1    Došlý, O.2    Kratz, W.3
  • 9
    • 0002451786 scopus 로고
    • Oscillation results for second order scalar and matrix difference equations
    • S. Chen, L. Erbe, Oscillation results for second order scalar and matrix difference equations, Comput. Math. Appl. 28 (1994) 55-69.
    • (1994) Comput. Math. Appl. , vol.28 , pp. 55-69
    • Chen, S.1    Erbe, L.2
  • 12
    • 84951604495 scopus 로고
    • Analysis on measure chains - A unified approach to continuous and discrete calculus
    • S. Hilger, Analysis on measure chains - a unified approach to continuous and discrete calculus, Res. Math. 18 (1990) 19-56.
    • (1990) Res. Math. , vol.18 , pp. 19-56
    • Hilger, S.1
  • 16
    • 0001784146 scopus 로고
    • Oscillation of second order linear matrix difference equations
    • A. Peterson, J. Ridenhour, Oscillation of second order linear matrix difference equations, J. Differential Equations 89 (1991) 69-88.
    • (1991) J. Differential Equations , vol.89 , pp. 69-88
    • Peterson, A.1    Ridenhour, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.