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Volumn 11, Issue 10, 2005, Pages 909-918

New characterizations of exponential dichotomy and exponential stability of linear difference equations

Author keywords

Discrete evolution family; Exponential dichotomy; Exponential stability; Linear difference equation

Indexed keywords


EID: 27344460109     PISSN: 10236198     EISSN: None     Source Type: Journal    
DOI: 10.1080/00423110500211947     Document Type: Article
Times cited : (21)

References (19)
  • 1
  • 2
    • 0034539508 scopus 로고    scopus 로고
    • Stability radius and internal versus external stability in Banach spaces: An evolution semigroup approach
    • Clark, S., Latushkin, Y., Montgomery-Smith, S. and Randolph, T., 2000, Stability radius and internal versus external stability in Banach spaces: an evolution semigroup approach. SIAM Journal of Control and Optimization, 38, 1757-1793.
    • (2000) SIAM Journal of Control and Optimization , vol.38 , pp. 1757-1793
    • Clark, S.1    Latushkin, Y.2    Montgomery-Smith, S.3    Randolph, T.4
  • 3
    • 0003805267 scopus 로고
    • Lecture Notes in Mathematics (New York: Springer Verlag)
    • Coppel, W.A., 1981, Dichotomies in Stability Theory, Lecture Notes in Mathematics (New York: Springer Verlag).
    • (1981) Dichotomies in Stability Theory
    • Coppel, W.A.1
  • 4
    • 0035426540 scopus 로고    scopus 로고
    • Exponential dichotomy of difference equations and application to evolution equations on the half-plane
    • Huy, N.T. and Minh, N.V., 2001, Exponential dichotomy of difference equations and application to evolution equations on the half-plane. Computers and Mathematics with applications, 42, 301-311.
    • (2001) Computers and Mathematics with Applications , vol.42 , pp. 301-311
    • Huy, N.T.1    Minh, N.V.2
  • 5
    • 2142763788 scopus 로고    scopus 로고
    • Exponentially dichotomous operators and exponential dichotomy of evolution equations on the half-plane
    • Huy, N.T., 2004, Exponentially dichotomous operators and exponential dichotomy of evolution equations on the half-plane. Integral Equations Operator Theory, 42, 497-510.
    • (2004) Integral Equations Operator Theory , vol.42 , pp. 497-510
    • Huy, N.T.1
  • 10
    • 11144284869 scopus 로고    scopus 로고
    • Exponential expansiveness and complete admissibility for evolution families
    • Megan, M., Sasu, B. and Adina Luminiţa, S., 2004, Exponential expansiveness and complete admissibility for evolution families. Czechoslovak Mathematical Journal, 54, 739-749.
    • (2004) Czechoslovak Mathematical Journal , vol.54 , pp. 739-749
    • Megan, M.1    Sasu, B.2    Adina Luminiţa, S.3
  • 11
    • 0345492034 scopus 로고    scopus 로고
    • Perron conditions for uniform exponential expansiveness of linear skew-product flows
    • Megan, M., Adina Luminiţa, S. and Bogdan, S., 2003, Perron conditions for uniform exponential expansiveness of linear skew-product flows. Monatshefte Fur Mathematik, 138, 145-157.
    • (2003) Monatshefte fur Mathematik , vol.138 , pp. 145-157
    • Megan, M.1    Adina Luminiţa, S.2    Bogdan, S.3
  • 12
    • 0001459058 scopus 로고    scopus 로고
    • Exponential stability, exponential expansiveness and exponential dichotomy of evolution equations on the half-plane
    • Minh, N.V., Rabiger, F. and Schnaubelt, R., 1998, Exponential stability, exponential expansiveness and exponential dichotomy of evolution equations on the half-plane. Integral Equations Operator Theory, 32, 332-353.
    • (1998) Integral Equations Operator Theory , vol.32 , pp. 332-353
    • Minh, N.V.1    Rabiger, F.2    Schnaubelt, R.3
  • 13
    • 0035457177 scopus 로고    scopus 로고
    • Characterizations of dichotomies of evolution equations on the half-plane
    • Minh, N.V. and Huy, N.T., 1998, Characterizations of dichotomies of evolution equations on the half-plane. Journal of Mathematical Analysis and Applications, 261, 28-44.
    • (1998) Journal of Mathematical Analysis and Applications , vol.261 , pp. 28-44
    • Minh, N.V.1    Huy, N.T.2
  • 14
    • 0003022648 scopus 로고
    • Exponential stability of operators and operator semigroups
    • van Neerven, J.M.A.M., 1995, Exponential stability of operators and operator semigroups. Journal of Functional Analysis, 130, 293-309.
    • (1995) Journal of Functional Analysis , vol.130 , pp. 293-309
    • Van Neerven, J.M.A.M.1
  • 15
    • 0036434540 scopus 로고    scopus 로고
    • Lower semicontinuity and the theorem of Datko and Pazy
    • van Neerven, J.M.A.M., 2002, Lower semicontinuity and the theorem of Datko and Pazy. Integral Equations Operator Theory, 42, 482-492.
    • (2002) Integral Equations Operator Theory , vol.42 , pp. 482-492
    • Van Neerven, J.M.A.M.1
  • 16
    • 7944237817 scopus 로고
    • Die stabilitätsfrage bei differentialgleichungen
    • Perron, O., 1930, Die stabilitätsfrage bei differentialgleichungen. Mathematische Zeitschrift, 32, 703-728.
    • (1930) Mathematische Zeitschrift , vol.32 , pp. 703-728
    • Perron, O.1
  • 17
    • 7444246244 scopus 로고    scopus 로고
    • A criterion for the exponential stability of linear difference equations
    • Pituk, M., 2004, A criterion for the exponential stability of linear difference equations. Applied Mathematics Letters, 17, 779-783.
    • (2004) Applied Mathematics Letters , vol.17 , pp. 779-783
    • Pituk, M.1
  • 18
    • 3042621012 scopus 로고    scopus 로고
    • q) - Admissibility and exponential dichotomy of evolution processes on the half-plane
    • q) - admissibility and exponential dichotomy of evolution processes on the half-plane. Integral Equations Operator Theory, 49, 405-418.
    • (2004) Integral Equations Operator Theory , vol.49 , pp. 405-418
    • Preda, P.1    Pogan, A.2    Preda, C.3
  • 19
    • 0033438355 scopus 로고    scopus 로고
    • Sufficient conditions for exponential stability and dichotomy of evolution equations
    • Schnaubelt, R., 1999, Sufficient conditions for exponential stability and dichotomy of evolution equations. Forum Mathematicum, 11, 543-566.
    • (1999) Forum Mathematicum , vol.11 , pp. 543-566
    • Schnaubelt, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.