메뉴 건너뛰기




Volumn 50, Issue 4, 2004, Pages 489-504

Perron conditions for pointwise and global exponential dichotomy of linear skew-product flows

Author keywords

Exponential dichotomy; Linear skew product flow

Indexed keywords


EID: 12744274361     PISSN: 0378620X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00020-003-1234-z     Document Type: Article
Times cited : (19)

References (26)
  • 1
    • 0002893766 scopus 로고
    • Dichotomies of systems and invertibility of linear ordinary differential operators
    • A. Ben-Artzi, I. Gohberg, Dichotomies of systems and invertibility of linear ordinary differential operators. Oper. Theory Adv. Appl. 56 (1992), 90-119.
    • (1992) Oper. Theory Adv. Appl. , vol.56 , pp. 90-119
    • Ben-Artzi, A.1    Gohberg, I.2
  • 2
    • 0001203181 scopus 로고
    • Dichotomies of perturbed time-varying systems and the power method
    • A. Ben-Artzi, I. Gohberg, Dichotomies of perturbed time-varying systems and the power method. Indiana Univ. Math. J. 42 (1993), 699-720.
    • (1993) Indiana Univ. Math. J. , vol.42 , pp. 699-720
    • Ben-Artzi, A.1    Gohberg, I.2
  • 4
    • 0003327379 scopus 로고    scopus 로고
    • Evolution Semigroups in Dynamical Systems and Differential Equations
    • Amer. Math. Soc.
    • C. Chicone, Y. Latushkin, Evolution Semigroups in Dynamical Systems and Differential Equations. Math. Surveys and Monographs 70 Amer. Math. Soc. 1999.
    • (1999) Math. Surveys and Monographs , vol.70
    • Chicone, C.1    Latushkin, Y.2
  • 5
    • 0000156941 scopus 로고
    • Existence and roughness of the exponential dichotomy for linear skew-product semiflows in Banach space
    • S. N. Chow, H. Leiva, Existence and roughness of the exponential dichotomy for linear skew-product semiflows in Banach space. J. Differential Equations 120 (1995), 429-477.
    • (1995) J. Differential Equations , vol.120 , pp. 429-477
    • Chow, S.N.1    Leiva, H.2
  • 6
    • 0030578626 scopus 로고    scopus 로고
    • Unbounded perturbation of the exponential dichotomy for evolution equations
    • S. N. Chow, H. Leiva, Unbounded perturbation of the exponential dichotomy for evolution equations. J. Differential Equations 129 (1996), 509-531.
    • (1996) J. Differential Equations , vol.129 , pp. 509-531
    • Chow, S.N.1    Leiva, H.2
  • 7
    • 0002709196 scopus 로고
    • Dichotomies in Stability Theory
    • Springer-Verlag, New York
    • W. A. Coppel, Dichotomies in Stability Theory. Lecture Notes in Math. 629, Springer-Verlag, New York, 1978.
    • (1978) Lecture Notes in Math. , vol.629
    • Coppel, W.A.1
  • 10
    • 0030577718 scopus 로고    scopus 로고
    • Evolutionary semigroups and dichotomy of linear skew-product flows on locally compact spaces with Banach fibers
    • Y. Latushkin, S. Montgomery-Smith, T. Randolph, Evolutionary semigroups and dichotomy of linear skew-product flows on locally compact spaces with Banach fibers. J. Differential Equations 125 (1996), 73-116.
    • (1996) J. Differential Equations , vol.125 , pp. 73-116
    • Latushkin, Y.1    Montgomery-Smith, S.2    Randolph, T.3
  • 11
    • 0033544734 scopus 로고    scopus 로고
    • Evolution semigroups, translation algebras and exponential dichotomy of cocycles
    • Y. Latushkin, R. Schnaubelt, Evolution semigroups, translation algebras and exponential dichotomy of cocycles. J. Differential Equations 159 (1999), 321-369.
    • (1999) J. Differential Equations , vol.159 , pp. 321-369
    • Latushkin, Y.1    Schnaubelt, R.2
  • 12
    • 0000122471 scopus 로고
    • Dichotomy of differential equations on Banach spaces and algebra of weighted translation operators
    • Y. Latushkin, T. Randolph, Dichotomy of differential equations on Banach spaces and algebra of weighted translation operators. Integral Equations Operator Theory 23 (1995), 472-500.
    • (1995) Integral Equations Operator Theory , vol.23 , pp. 472-500
    • Latushkin, Y.1    Randolph, T.2
  • 13
    • 54649083842 scopus 로고    scopus 로고
    • Exponential dichotomy and mild solutions of nonautonomous equations in Banach spaces
    • Y. Latushkin, T. Randolph, R. Schnaubelt, Exponential dichotomy and mild solutions of nonautonomous equations in Banach spaces. J. Dynam. Differential Equations 10 (1998), 489-509.
    • (1998) J. Dynam. Differential Equations , vol.10 , pp. 489-509
    • Latushkin, Y.1    Randolph, T.2    Schnaubelt, R.3
  • 15
    • 0036434575 scopus 로고    scopus 로고
    • On nonuniform exponential dichotomy of evolution operators in Banach spaces
    • M. Megan, B. Sasu, A. L. Sasu, On nonuniform exponential dichotomy of evolution operators in Banach spaces. Integral Equations Operator Theory 44 (2002), 71-78.
    • (2002) Integral Equations Operator Theory , vol.44 , pp. 71-78
    • Megan, M.1    Sasu, B.2    Sasu, A.L.3
  • 16
    • 0037358985 scopus 로고    scopus 로고
    • Discrete admissibility and exponential dichotomy for evolution families
    • M. Megan, A. L. Sasu, B. Sasu, Discrete admissibility and exponential dichotomy for evolution families. Discrete Contin. Dynam. Systems 9 (2003), 383-397.
    • (2003) Discrete Contin. Dynam. Systems , vol.9 , pp. 383-397
    • Megan, M.1    Sasu, A.L.2    Sasu, B.3
  • 17
    • 0010183447 scopus 로고    scopus 로고
    • On uniform exponential stability of linear skew-product semiflows in Banach spaces
    • M. Megan, A. L. Sasu, B. Sasu, On uniform exponential stability of linear skew-product semiflows in Banach spaces. Bull. Belg. Math. Soc. Simon Stevin 9 (2002), 143-154.
    • (2002) Bull. Belg. Math. Soc. Simon Stevin , vol.9 , pp. 143-154
    • Megan, M.1    Sasu, A.L.2    Sasu, B.3
  • 18
    • 0038391460 scopus 로고    scopus 로고
    • Theorems of Perron type for uniform exponential dichotomy of linear skew-product semiflows
    • M. Megan, A. L. Sasu, B. Sasu, Theorems of Perron type for uniform exponential dichotomy of linear skew-product semiflows. Bull. Belg. Math. Soc. Simon Stevin 10 (2003).
    • (2003) Bull. Belg. Math. Soc. Simon Stevin , vol.10
    • Megan, M.1    Sasu, A.L.2    Sasu, B.3
  • 19
    • 0345492034 scopus 로고    scopus 로고
    • Perron conditions for uniform exponential expansiveness of linear skew-product flows
    • DOI 10.1007/s00605-002-0520-1
    • M. Megan, A. L. Sasu, B. Sasu, Perron conditions for uniform exponential expansiveness of linear skew-product flows. Monatsh. Math. DOI 10.1007/s00605-002-0520-1
    • Monatsh. Math.
    • Megan, M.1    Sasu, A.L.2    Sasu, B.3
  • 20
    • 0012997842 scopus 로고    scopus 로고
    • Stabilizability and controllability of systems associated to linear skew-product semiflows
    • M. Megan, A. L. Sasu, B. Sasu, Stabilizability and controllability of systems associated to linear skew-product semiflows. Rev. Mat. Complutense 15 (2002), 599-618.
    • (2002) Rev. Mat. Complutense , vol.15 , pp. 599-618
    • Megan, M.1    Sasu, A.L.2    Sasu, B.3
  • 21
    • 0038244593 scopus 로고    scopus 로고
    • Perron conditions and uniform exponential stability of linear skew-product semiflows on locally compact spaces
    • M. Megan, A. L. Sasu, B. Sasu, Perron conditions and uniform exponential stability of linear skew-product semiflows on locally compact spaces. Acta Math. Univ. Comenian. 70 (2001), 229-240.
    • (2001) Acta Math. Univ. Comenian. , vol.70 , pp. 229-240
    • Megan, M.1    Sasu, A.L.2    Sasu, B.3
  • 22
    • 0001459058 scopus 로고    scopus 로고
    • Exponential stability, exponential expansiveness and exponential dichotomy of evolution families on the half-line
    • N. Van Minh, F. Räbiger, R. Schnaubelt, Exponential stability, exponential expansiveness and exponential dichotomy of evolution families on the half-line. Integral Equations Operator Theory 32 (1998), 332-353.
    • (1998) Integral Equations Operator Theory , vol.32 , pp. 332-353
    • Van Minh, N.1    Räbiger, F.2    Schnaubelt, R.3
  • 23
    • 7944237817 scopus 로고
    • Die Stabilitätsfrage bei Differentialgleischungen
    • O. Perron, Die Stabilitätsfrage bei Differentialgleischungen. Math. Z. 32 (1930), 703-728.
    • (1930) Math. Z. , vol.32 , pp. 703-728
    • Perron, O.1
  • 24
    • 0000380188 scopus 로고    scopus 로고
    • Robustness of exponential dichotomies in infinite-dimensional dynamical systems
    • V. A. Pliss, G. R. Sell, Robustness of exponential dichotomies in infinite-dimensional dynamical systems. J. Dynam. Differential Equations 3 (1999), 471-513.
    • (1999) J. Dynam. Differential Equations , vol.3 , pp. 471-513
    • Pliss, V.A.1    Sell, G.R.2
  • 25
    • 12744274330 scopus 로고
    • Hyperbolic Linear Skew-Product Semiflows
    • Mathematisches Institut der Universität, Germany
    • R. T. Rau, Hyperbolic Linear Skew-Product Semiflows. Arbeitsbereich Funktionalanalysis, Mathematisches Institut der Universität, Germany, 1993.
    • (1993) Arbeitsbereich Funktionalanalysis
    • Rau, R.T.1
  • 26
    • 0002394599 scopus 로고
    • Dichotomies for linear evolutionary equations in Banach spaces
    • R. Sacker, G. R. Sell, Dichotomies for linear evolutionary equations in Banach spaces. J. Differential Equations 113 (1994), 17-67.
    • (1994) J. Differential Equations , vol.113 , pp. 17-67
    • Sacker, R.1    Sell, G.R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.