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Volumn 222, Issue 1, 1998, Pages 110-125

Integrated Semigroups and Higher Order Abstract Equations

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EID: 0038902139     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1997.5909     Document Type: Article
Times cited : (6)

References (25)
  • 1
    • 84960611544 scopus 로고
    • Resolvent positive operators
    • Arendt W. Resolvent positive operators. Proc. London Math. Soc. 54:1987;321-349.
    • (1987) Proc. London Math. Soc. , vol.54 , pp. 321-349
    • Arendt, W.1
  • 2
    • 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
  • 3
    • 51249179179 scopus 로고
    • Integrated semigroups and integrodifferential equations
    • deLaubenfels R. Integrated semigroups and integrodifferential equations. Math. Z. 204:1990;501-514.
    • (1990) Math. Z. , vol.204 , pp. 501-514
    • Delaubenfels, R.1
  • 4
    • 0003288365 scopus 로고
    • Existence families, functional calculi and evolution equations
    • deLaubenfels R. Existence families, functional calculi and evolution equations. Lecture Notes in Math. 1570:1994;7-124.
    • (1994) Lecture Notes in Math. , vol.1570 , pp. 7-124
    • Delaubenfels, R.1
  • 5
    • 0011497552 scopus 로고
    • Extension and behavior at infinity of solutions of certain linear operational differential equations
    • Fattorini H. O. Extension and behavior at infinity of solutions of certain linear operational differential equations. Pacific J. Math. 33:1970;583-615.
    • (1970) Pacific J. Math. , vol.33 , pp. 583-615
    • Fattorini, H.O.1
  • 7
  • 8
    • 0002363136 scopus 로고
    • Laplace transforms and α-times integrated semigroups
    • Hieber M. Laplace transforms and α-times integrated semigroups. Forum Math. 3:1991;595-612.
    • (1991) Forum Math. , vol.3 , pp. 595-612
    • Hieber, M.1
  • 9
    • 84968469658 scopus 로고
    • pspectra of pseudodifferential operators generating integrated semigroups
    • pspectra of pseudodifferential operators generating integrated semigroups. Trans. Amer. Math. Soc. 347:1995;4023-4035.
    • (1995) Trans. Amer. Math. Soc. , vol.347 , pp. 4023-4035
    • Hieber, M.1
  • 12
    • 0041165961 scopus 로고    scopus 로고
    • Well-posedness results for certain classes of higher order abstract Cauchy problems connected with integrated semigroups
    • Liang J., Xiao T. J. Well-posedness results for certain classes of higher order abstract Cauchy problems connected with integrated semigroups. Semigroup Forum. 56:1998;84-103.
    • (1998) Semigroup Forum , vol.56 , pp. 84-103
    • Liang, J.1    Xiao, T.J.2
  • 13
    • 38149146094 scopus 로고
    • On the convergence and approximation of integrated semigroups
    • Lizama C. On the convergence and approximation of integrated semigroups. J. Math. Anal. Appl. 181:1994;89-103.
    • (1994) J. Math. Anal. Appl. , vol.181 , pp. 89-103
    • Lizama, C.1
  • 14
    • 84968505402 scopus 로고
    • Well-posedness of higher order abstract Cauchy problems
    • Neubrander F. Well-posedness of higher order abstract Cauchy problems. Trans. Amer. Math. Soc. 295:1986;257-290.
    • (1986) Trans. Amer. Math. Soc. , vol.295 , pp. 257-290
    • Neubrander, F.1
  • 15
    • 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
  • 16
    • 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
  • 18
    • 38249016253 scopus 로고
    • "integrated semigroups" and integrated solutions to abstract Cauchy problems
    • Thieme H. "Integrated semigroups" and integrated solutions to abstract Cauchy problems. J. Math. Anal. Appl. 152:1990;416-447.
    • (1990) J. Math. Anal. Appl. , vol.152 , pp. 416-447
    • Thieme, H.1
  • 19
    • 84973998961 scopus 로고
    • On complete second order linear differential equations in Banach spaces
    • Xio (Xiao) T. J., Liang J. On complete second order linear differential equations in Banach spaces. Pacific J. Math. 142:1990;175-195.
    • (1990) Pacific J. Math. , vol.142 , pp. 175-195
    • Xio, T.J.1    Liang, J.2
  • 20
    • 0002051052 scopus 로고
    • The Cauchy problem for higher order abstract differential equations in Banach spaces (Abstract)
    • Xiao T. J., Liang J. The Cauchy problem for higher order abstract differential equations in Banach spaces (Abstract). J. Yunnan Teach. Univ. 11:1991;98-100.
    • (1991) J. Yunnan Teach. Univ. , vol.11 , pp. 98-100
    • Xiao, T.J.1    Liang, J.2
  • 21
    • 38249011547 scopus 로고
    • Complete second order linear differential equations with almost periodic solutions
    • Xio (Xiao) T. J., Liang J. Complete second order linear differential equations with almost periodic solutions. J. Math. Anal. Appl. 163:1992;136-146.
    • (1992) J. Math. Anal. Appl. , vol.163 , pp. 136-146
    • Xio, T.J.1    Liang, J.2
  • 22
    • 84966218818 scopus 로고
    • Parabolicity of a class of higher order abstract differential equations
    • Xio (Xiao) T. J., Liang J. Parabolicity of a class of higher order abstract differential equations. Proc. Amer. Math. Soc. 120:1994;173-181.
    • (1994) Proc. Amer. Math. Soc. , vol.120 , pp. 173-181
    • Xio, T.J.1    Liang, J.2
  • 23
    • 0010961335 scopus 로고    scopus 로고
    • Integrated semigroups, cosine families and higher order abstract Cauchy problems
    • B.R. Li. Dordrecht: Kluwer Academic
    • Xiao T. J., Liang J. Integrated semigroups, cosine families and higher order abstract Cauchy problems. Li B. R. Functional Analysis in China. 1996;351-365 Kluwer Academic, Dordrecht.
    • (1996) Functional Analysis in China , pp. 351-365
    • Xiao, T.J.1    Liang, J.2
  • 24
    • 0031108563 scopus 로고    scopus 로고
    • Entire solutions of higher order abstract Cauchy problems
    • Xiao T. J., Liang J. Entire solutions of higher order abstract Cauchy problems. J. Math. Anal. Appl. 208:1997;298-310.
    • (1997) J. Math. Anal. Appl. , vol.208 , pp. 298-310
    • Xiao, T.J.1    Liang, J.2
  • 25
    • 0031571530 scopus 로고    scopus 로고
    • Laplace transforms and integrated, regularized semigroups in locally convex spaces
    • Xiao T. J., Liang J. Laplace transforms and integrated, regularized semigroups in locally convex spaces. J. Funct. Anal. 148:1997;448-479.
    • (1997) J. Funct. Anal. , vol.148 , pp. 448-479
    • Xiao, T.J.1    Liang, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.