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Volumn 148, Issue 2, 1997, Pages 448-479

Laplace transforms and integrated, regularized semigroups in locally convex spaces

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EID: 0031571530     PISSN: 00221236     EISSN: None     Source Type: Journal    
DOI: 10.1006/jfan.1996.3096     Document Type: Article
Times cited : (18)

References (40)
  • 1
    • 51649147034 scopus 로고
    • Vector valued Laplace transforms and Cauchy problem
    • Arendt W. Vector valued Laplace transforms and Cauchy problem. Israel J. Math. 59:1987;327-352.
    • (1987) Israel J. Math. , vol.59 , pp. 327-352
    • Arendt, W.1
  • 2
    • 0010959937 scopus 로고
    • Integrated solutions of Volterra integro-differential equations and applications, integro-differential equations
    • Pitman, London
    • W. Arendt, H. Kellermann, 1989, Integrated solutions of Volterra integro-differential equations and applications, Integro-differential Equations, Proc. Conf. Trento (1987), Pitman, London.
    • (1987) Proc. Conf. Trento
    • Arendt, W.1    Kellermann, H.2
  • 7
    • 84972545781 scopus 로고
    • Regularized semigroups, existence families and the abstract Cauchy problem
    • DeLaubenfels R., Sun G., Wang S. Regularized semigroups, existence families and the abstract Cauchy problem. J. Differential Integral Equations. 8:1995;1477-1496.
    • (1995) J. Differential Integral Equations , vol.8 , pp. 1477-1496
    • DeLaubenfels, R.1    Sun, G.2    Wang, S.3
  • 8
    • 0001096743 scopus 로고
    • Ordinary differential equations in linear topological spaces I
    • Fattorini H. O. Ordinary differential equations in linear topological spaces I. J. Differential Equations. 5:1968;72-105.
    • (1968) J. Differential Equations , vol.5 , pp. 72-105
    • Fattorini, H.O.1
  • 10
    • 51249165999 scopus 로고
    • Integrated semigroups and integrodifferential equations
    • Grimmer R., Liu H. Integrated semigroups and integrodifferential equations. Semigroup Forum. 48:1994;79-95.
    • (1994) Semigroup Forum , vol.48 , pp. 79-95
    • Grimmer, R.1    Liu, H.2
  • 11
    • 0002363136 scopus 로고
    • Laplace transforms andα
    • Hieber M. Laplace transforms andα Forum Math. 3:1991;595-612.
    • (1991) Forum Math. , vol.3 , pp. 595-612
    • Hieber, M.1
  • 12
    • 33646985873 scopus 로고
    • pspaces
    • pspaces. Math. Z. 291:1991;1-16.
    • (1991) Math. Z. , vol.291 , pp. 1-16
    • Hieber, M.1
  • 19
    • 0010959056 scopus 로고
    • IntegratedCC, National Central University
    • Y.-C. Li, 1991, IntegratedCC, National Central University.
    • (1991)
    • Li, Y.-C.1
  • 21
  • 22
    • 0010991350 scopus 로고    scopus 로고
    • Wellposedness results for certain classes of higher order abstract Cauchy problems connected with integrated semigroups
    • J. Liang, T. J. Xiao, Wellposedness results for certain classes of higher order abstract Cauchy problems connected with integrated semigroups, Semigroup Forum.
    • Semigroup Forum
    • Liang, J.1    Xiao, T.J.2
  • 24
    • 84972557856 scopus 로고
    • On the representation theorem by the Laplace transformation of vector-valued functions
    • Miyadera I. On the representation theorem by the Laplace transformation of vector-valued functions. Tôhoku Math. J. 8:1956;170-180.
    • (1956) Tôhoku Math. J. , vol.8 , pp. 170-180
    • Miyadera, I.1
  • 25
    • 84972583316 scopus 로고
    • Semi-groups of operators in Fréchet space and applications to partial differential equations
    • Miyadera I. Semi-groups of operators in Fréchet space and applications to partial differential equations. Tôhoku Math. J. 11:1959;162-183.
    • (1959) Tôhoku Math. J. , vol.11 , pp. 162-183
    • Miyadera, I.1
  • 26
    • 0011025023 scopus 로고
    • On the existence and growth of mild solutions of the abstract Cauchy problem for operators with polynomially bounded resolvent
    • 206
    • J. M. A. M. van Neerven, B. Straub, 1994-1995, On the existence and growth of mild solutions of the abstract Cauchy problem for operators with polynomially bounded resolvent, Semesterbericht Funktional Analysis, 182, 206.
    • (1994) Semesterbericht Funktional Analysis , pp. 182
    • Van Neerven, J.M.A.M.1    Straub, B.2
  • 27
    • 84972562394 scopus 로고
    • Integrated semigroups and their applications to the abstract Cauchy problem
    • Neubrander F. Integrated semigroups and their applications to the abstract Cauchy problem. Pacific J. Math. 135:1988;111-155.
    • (1988) Pacific J. Math. , vol.135 , pp. 111-155
    • Neubrander, F.1
  • 28
    • 51249175702 scopus 로고
    • Integrated semigroups and their applications to complete second order Cauchy problems
    • Neubrander F. Integrated semigroups and their applications to complete second order Cauchy problems. Semigroup Forum. 38:1989;233-251.
    • (1989) Semigroup Forum , vol.38 , pp. 233-251
    • Neubrander, F.1
  • 29
    • 43949176200 scopus 로고
    • The Hille-Yosida and Trotter-Kato theorems for integrated semigroups
    • Nicaise S. The Hille-Yosida and Trotter-Kato theorems for integrated semigroups. J. Math. Anal. Appl. 180:1993;303-316.
    • (1993) J. Math. Anal. Appl. , vol.180 , pp. 303-316
    • Nicaise, S.1
  • 36
    • 0000242122 scopus 로고
    • The Cauchy problem for higher order abstract differential equations in Banach spaces
    • Xiao T. J., Liang J. The Cauchy problem for higher order abstract differential equations in Banach spaces. Chinese J. Contemporary Math. 14:1993;305-321.
    • (1993) Chinese J. Contemporary Math. , vol.14 , pp. 305-321
    • Xiao, T.J.1    Liang, J.2
  • 37
    • 0010961335 scopus 로고    scopus 로고
    • Integrated semigroups and cosine families and higher order abstract Cauchy problems
    • Dordrecht: Kluwer Academic
    • Xiao T. J., Liang J. Integrated semigroups and cosine families and higher order abstract Cauchy problems. Functional Analysis in China. 1996;Kluwer Academic, Dordrecht. p. 351-365.
    • (1996) Functional Analysis in China , pp. 351-365
    • Xiao, T.J.1    Liang, J.2
  • 40
    • 0010966258 scopus 로고
    • Sur un théorème de I. Miyadera concernant la représentation des fonctions vectorielles par des intégrales de Laplace
    • Zaidman S. Sur un théorème de I. Miyadera concernant la représentation des fonctions vectorielles par des intégrales de Laplace. Tôhoku Math. J. 12:1960;47-51.
    • (1960) Tôhoku Math. J. , vol.12 , pp. 47-51
    • Zaidman, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.