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Volumn 2003, Issue 16, 2003, Pages 933-951

A spectral mapping theorem for semigroups solving PDEs with nonautonomous past

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EID: 0346680142     PISSN: 10853375     EISSN: None     Source Type: Journal    
DOI: 10.1155/S1085337503306335     Document Type: Article
Times cited : (7)

References (20)
  • 1
  • 2
    • 1842488565 scopus 로고    scopus 로고
    • Bounded and almost periodic solutions and evolution semigroups associated with nonautonomous functional differential equations
    • B. Aulbach and N. Van Minh, Bounded and almost periodic solutions and evolution semigroups associated with nonautonomous functional differential equations, Abstr. Appl. Anal. 5 (2000), no. 4, 245-263.
    • (2000) Abstr. Appl. Anal. , vol.5 , Issue.4 , pp. 245-263
    • Aulbach, B.1    Van Minh, N.2
  • 3
    • 84994401536 scopus 로고    scopus 로고
    • p-phase spaces, in preparation.
  • 4
    • 0012207411 scopus 로고    scopus 로고
    • On the structure of the critical spectrum of strongly continuous semigroups
    • Evolution Equations and Their Applications in Physical and Life Sciences (Bad Herrenalb, 1998), Dekker, New York
    • M. Blake, S. Brendle, and R. Nagel, On the structure of the critical spectrum of strongly continuous semigroups, Evolution Equations and Their Applications in Physical and Life Sciences (Bad Herrenalb, 1998), Lecture Notes in Pure and Appl. Math., vol. 215, Dekker, New York, 2001, pp. 55-65.
    • (2001) Lecture Notes in Pure and Appl. Math. , vol.215 , pp. 55-65
    • Blake, M.1    Brendle, S.2    Nagel, R.3
  • 6
    • 0034344382 scopus 로고    scopus 로고
    • On the spectral mapping theorem for perturbed strongly continuous semigroups
    • S. Brendle, R. Nagel, and J. Poland, On the spectral mapping theorem for perturbed strongly continuous semigroups, Arch. Math. (Basel) 74 (2000), no. 5, 365-378.
    • (2000) Arch. Math. (Basel) , vol.74 , Issue.5 , pp. 365-378
    • Brendle, S.1    Nagel, R.2    Poland, J.3
  • 7
    • 0003327379 scopus 로고    scopus 로고
    • Evolution Semigroups in Dynamical Systems and Differential Equations
    • American Mathematical Society, Rhode Island
    • C. Chicone and Y. Latushkin, Evolution Semigroups in Dynamical Systems and Differential Equations, Mathematical Surveys and Monographs, vol. 70, American Mathematical Society, Rhode Island, 1999.
    • (1999) Mathematical Surveys and Monographs , vol.70
    • Chicone, C.1    Latushkin, Y.2
  • 8
    • 0003215222 scopus 로고    scopus 로고
    • One-Parameter Semigroups for Linear Evolution Equations
    • Springer-Verlag, New York
    • K.-J. Engel and R. Nagel, One-Parameter Semigroups for Linear Evolution Equations, Graduate Texts in Mathematics, vol. 194, Springer-Verlag, New York, 2000.
    • (2000) Graduate Texts in Mathematics , vol.194
    • Engel, K.-J.1    Nagel, R.2
  • 9
    • 0347153441 scopus 로고    scopus 로고
    • Infinite-Dimensional Optimization and Control Theory
    • Cambridge University Press, Cambridge
    • H. O. Fattorini, Infinite-Dimensional Optimization and Control Theory, Encyclopedia of Mathematics and Its Applications, vol. 62, Cambridge University Press, Cambridge, 1999.
    • (1999) Encyclopedia of Mathematics and Its Applications , vol.62
    • Fattorini, H.O.1
  • 10
    • 84994473560 scopus 로고    scopus 로고
    • G. Fragnelli, Semigroups and genetic repression, to appear in J. Concr. Appl. Math.
  • 11
    • 0037001188 scopus 로고    scopus 로고
    • Classical solutions for partial functional differential equations with nonautonomous past
    • Classical solutions for partial functional differential equations with nonautonomous past, Arch. Math. (Basel) 79 (2002), no. 6, 479-488.
    • (2002) Archiv der Mathematik , vol.79 , Issue.6 , pp. 479-488
    • Fragnelli, G.1
  • 14
    • 84972583531 scopus 로고
    • On perturbation theory for semi-groups of operators
    • I. Miyadera, On perturbation theory for semi-groups of operators, Tohoku Math. J. (2) 18 (1966), 299-310.
    • (1966) Tohoku Math. J. (2) , vol.18 , pp. 299-310
    • Miyadera, I.1
  • 15
    • 0034196150 scopus 로고    scopus 로고
    • The critical spectrum of a strongly continuous semigroup
    • R. Nagel and J. Poland, The critical spectrum of a strongly continuous semigroup, Adv. Math. 152 (2000), no. 1, 120-133.
    • (2000) Adv. Math. , vol.152 , Issue.1 , pp. 120-133
    • Nagel, R.1    Poland, J.2
  • 16
    • 0001951797 scopus 로고    scopus 로고
    • Evolution semigroups for nonautonomous Cauchy problems
    • G. Nickel, Evolution semigroups for nonautonomous Cauchy problems, Abstr. Appl. Anal. 2 (1997), no. 1-2, 73-95.
    • (1997) Abstr. Appl. Anal. , vol.2 , Issue.1-2 , pp. 73-95
    • Nickel, G.1
  • 18
    • 0035457177 scopus 로고    scopus 로고
    • Characterizations of dichotomies of evolution equations on the half-line
    • N. Van Minh and N. T. Huy, Characterizations of dichotomies of evolution equations on the half-line, J. Math. Anal. Appl. 261 (2001), no. 1, 28-44.
    • (2001) J. Math. Anal. Appl. , vol.261 , Issue.1 , pp. 28-44
    • Van Minh, N.1    Huy, N.T.2
  • 19
    • 0001459058 scopus 로고    scopus 로고
    • Exponential stability, exponential expansiveness, and exponential dichotomy of evolution equations on the half-line
    • N. Van Minh, F. Räbiger, and R. Schnaubelt, Exponential stability, exponential expansiveness, and exponential dichotomy of evolution equations on the half-line, Integral Equations Operator Theory 32 (1998), no. 3, 332-353.
    • (1998) Integral Equations Operator Theory , vol.32 , Issue.3 , pp. 332-353
    • Van Minh, N.1    Räbiger, F.2    Schnaubelt, R.3
  • 20
    • 1642336747 scopus 로고
    • On the perturbation theory for strongly continuous semigroups
    • J. Voigt, On the perturbation theory for strongly continuous semigroups, Math. Ann. 229 (1977), no. 2, 163-171.
    • (1977) Math. Ann. , vol.229 , Issue.2 , pp. 163-171
    • Voigt, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.