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Volumn 7, Issue 1, 2002, Pages 61-77

Lyapunov inequalities for time scales

Author keywords

Disconjugacy; Dynamic equations; Hamiltonian system; Lyapunov inequality; Time scales

Indexed keywords


EID: 0036013657     PISSN: 10255834     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (46)

References (21)
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  • 3
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  • 7
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    • Asymptotic behavior of dynamic equations on time scales
    • To appear
    • Bohner, M. and Lutz, D.A. (1999). Asymptotic behavior of dynamic equations on time scales. J. Differ. Equations Appl., To appear.
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    • Bohner, M.1    Lutz, D.A.2
  • 8
    • 0002571041 scopus 로고
    • Lyapunov inequalities for differential and difference equations
    • Chen, S. (1991). Lyapunov inequalities for differential and difference equations. Fasc. Math., 23, 25-41.
    • (1991) Fasc. Math. , vol.23 , pp. 25-41
    • Chen, S.1
  • 9
    • 0000713287 scopus 로고    scopus 로고
    • A Lyapunov inequality for linear Hamiltonian systems
    • Clark, S. and Hinton, D.B. (1998). A Lyapunov inequality for linear Hamiltonian systems. Math. Inequal. Appl., 1(2), 201-209.
    • (1998) Math. Inequal. Appl. , vol.1 , Issue.2 , pp. 201-209
    • Clark, S.1    Hinton, D.B.2
  • 10
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    • Special Issue on "Discrete and Continuous Hamiltonian Systems", Edited by Agarwal, R. P. and Bohner, M.
    • Clark, S. and Hinton, D.B. (1999). Discrete Lyapunov inequalities. Dynam. Systems Appl., 8(3,4), 369-380. Special Issue on "Discrete and Continuous Hamiltonian Systems", Edited by Agarwal, R.P. and Bohner, M.
    • (1999) Dynam. Systems Appl. , vol.8 , Issue.3-4 , pp. 369-380
    • Clark, S.1    Hinton, D.B.2
  • 12
    • 0000957621 scopus 로고    scopus 로고
    • Disconjugacy, transformations and quadratic functionals for symplectic dynamic systems on time scales
    • To appear
    • Došlý, O. and Hilscher, R. (2000). Disconjugacy, transformations and quadratic functionals for symplectic dynamic systems on time scales. J. Differ. Equations Appl., To appear.
    • (2000) J. Differ. Equations Appl.
    • Došlý, O.1    Hilscher, R.2
  • 13
    • 84951604495 scopus 로고
    • Analysis on measure chains - A unified approach to continuous and discrete calculus
    • Hilger, S. (1990). Analysis on measure chains - a unified approach to continuous and discrete calculus. Results Math., 18, 18-56.
    • (1990) Results Math. , vol.18 , pp. 18-56
    • Hilger, S.1
  • 14
    • 0001293816 scopus 로고    scopus 로고
    • Special functions, Laplace and Fourier transform on measure chains
    • Special Issue on "Discrete and Continuous Hamiltonian Systems", Edited by Agarwal, R. P. and Bohner, M.
    • Hilger, S. (1999). Special functions, Laplace and Fourier transform on measure chains. Dynam. Systems Appl., 8(3,4), 471-488. Special Issue on "Discrete and Continuous Hamiltonian Systems", Edited by Agarwal, R.P. and Bohner, M.
    • (1999) Dynam. Systems Appl. , vol.8 , Issue.3-4 , pp. 471-488
    • Hilger, S.1
  • 15
    • 0033825935 scopus 로고    scopus 로고
    • Linear Hamiltonian systems on time scales: Positivity of quadratic functionals
    • Hilscher, R. (2000). Linear Hamiltonian systems on time scales: Positivity of quadratic functionals. Math. Comput. Modelling, 32(5,6), 507-527.
    • (2000) Math. Comput. Modelling , vol.32 , Issue.5-6 , pp. 507-527
    • Hilscher, R.1
  • 16
    • 85046909456 scopus 로고    scopus 로고
    • Positivity of quadratic functionals on time scales: Necessity
    • To appear
    • Hilscher, R. (2000). Positivity of quadratic functionals on time scales: Necessity. Math. Nachr., To appear.
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    • Hilscher, R.1
  • 20
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    • Problème général de la stabilité du mouvement
    • Lyapunov, A.M. (1907). Problème général de la stabilité du mouvement. Ann. Fac. Sci. Toulouse Math., 9, 203-474.
    • (1907) Ann. Fac. Sci. Toulouse Math. , vol.9 , pp. 203-474
    • Lyapunov, A.M.1
  • 21
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    • A disconjugacy criterion of W. T. Reid for difference equations
    • Peterson, A. and Ridenhour, J. (1992). A disconjugacy criterion of W.T. Reid for difference equations. Proc. Amer. Math. Soc., 114(2), 459-468.
    • (1992) Proc. Amer. Math. Soc. , vol.114 , Issue.2 , pp. 459-468
    • Peterson, A.1    Ridenhour, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.