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Volumn 124, Issue 2, 1996, Pages 324-342

Characterization of exponential stability of a semigroup of operators in terms of its action by convolution on vector-valued function spaces over ℝ

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EID: 0009191018     PISSN: 00220396     EISSN: None     Source Type: Journal    
DOI: 10.1006/jdeq.1996.0012     Document Type: Article
Times cited : (15)

References (20)
  • 2
    • 0001113152 scopus 로고
    • ∞ and the theorem of Marcinkiewicz
    • ∞ and the theorem of Marcinkiewicz, Stud. Math. 26 (1966), 273-299.
    • (1966) Stud. Math. , vol.26 , pp. 273-299
    • Calderon, A.P.1
  • 3
    • 0003230949 scopus 로고
    • Functional analysis and semi-groups
    • Amer. Math. Soc., Providence, RI
    • E. HILLE AND R. S. PHILLIPS, "Functional Analysis and Semi-Groups," Coll. Publ. Vol. XXXI, Amer. Math. Soc., Providence, RI, 1957.
    • (1957) Coll. Publ. , vol.31
    • Hille, E.1    Phillips, R.S.2
  • 4
    • 0000374811 scopus 로고
    • Characteristic conditions for exponential stability of linear dynamical systems in Hilbert spaces
    • F. HUANG, Characteristic conditions for exponential stability of linear dynamical systems in Hilbert spaces, Ann. Diff. Eg. 1 (1985), 43-56.
    • (1985) Ann. Diff. Eg. , vol.1 , pp. 43-56
    • Huang, F.1
  • 5
    • 0040439297 scopus 로고
    • A problem of exponential stability for linear dynamical systems in Hilbert spaces
    • F. HUANG AND L. KANGSHENG, A problem of exponential stability for linear dynamical systems in Hilbert spaces, Kexue Tongbao 33 (1988), 460-462.
    • (1988) Kexue Tongbao , vol.33 , pp. 460-462
    • Huang, F.1    Kangsheng, L.2
  • 6
    • 0001468782 scopus 로고
    • Evolutionary semigroups and Lyapunov theorems in Banach spaces
    • Y. LATUSHKIN AND S. MONTGOMERY-SMITH, Evolutionary semigroups and Lyapunov theorems in Banach spaces, J. Funct. Anal. 127 (1995), 173-197.
    • (1995) J. Funct. Anal. , vol.127 , pp. 173-197
    • Latushkin, Y.1    Montgomery-Smith, S.2
  • 7
  • 8
    • 85011698751 scopus 로고    scopus 로고
    • 0-semigroups and uniform boundedness of the local resolvent
    • to appear
    • 0-semigroups and uniform boundedness of the local resolvent, Semigroup Forum, to appear.
    • Semigroup Forum
    • Van Neerven, J.M.A.M.1
  • 11
    • 85029992077 scopus 로고
    • as preprint in, Tübingen
    • F. RÄBIGER AND R. SCHNAUBELT, A spectral characterization of exponentially dichotomic and hyperbolic evolution families, submitted; as preprint in Tübinger Ber. Funktionalanal. 3 (1994), Tübingen.
    • (1994) Tübinger Ber. Funktionalanal. , vol.3
  • 12
    • 85011711669 scopus 로고    scopus 로고
    • The spectral mapping theorem for evolution semigroups on spaces of vector-valued functions
    • to appear
    • F. RÄBIGER AND R. SCHNAUBELT, The spectral mapping theorem for evolution semigroups on spaces of vector-valued functions, Semigroup Forum, to appear; as preprint in Tübinger Ber. Funktionalanal. 3 (1994), Tübingen.
    • Semigroup Forum
    • Räbiger, F.1    Schnaubelt, R.2
  • 13
    • 85029978107 scopus 로고
    • as preprint in, Tübingen
    • F. RÄBIGER AND R. SCHNAUBELT, The spectral mapping theorem for evolution semigroups on spaces of vector-valued functions, Semigroup Forum, to appear; as preprint in Tübinger Ber. Funktionalanal. 3 (1994), Tübingen.
    • (1994) Tübinger Ber. Funktionalanal. , vol.3
  • 15
    • 51249164392 scopus 로고
    • Hyperbolic evolution semigroups on vector-valued function spaces
    • R. T. RAU, Hyperbolic evolution semigroups on vector-valued function spaces, Semigroup For. 48 (1994), 107-118.
    • (1994) Semigroup For. , vol.48 , pp. 107-118
    • Rau, R.T.1
  • 16
    • 0001101604 scopus 로고
    • Hyperbolic evolution groups and dichotomic evolution families
    • R. T. RAU, Hyperbolic evolution groups and dichotomic evolution families, J. Dyn. Diff. Eq. 6 (1994), 335-350.
    • (1994) J. Dyn. Diff. Eq. , vol.6 , pp. 335-350
    • Rau, R.T.1
  • 18
    • 0000687306 scopus 로고
    • 0-semigroups as determined by the spectrum of the generator
    • 0-semigroups as determined by the spectrum of the generator, Indiana Univ. Math. J. 25 (1976), 783-792.
    • (1976) Indiana Univ. Math. J. , vol.25 , pp. 783-792
    • Slemrod, M.1
  • 20
    • 0000508233 scopus 로고
    • p-stability of a linear semigroup on a Hilbert space implies exponential stability
    • p-stability of a linear semigroup on a Hilbert space implies exponential stability, J. Diff. Eq. 76 (1988), 269-285.
    • (1988) J. Diff. Eq. , vol.76 , pp. 269-285
    • Weiss, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.