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Volumn 40, Issue 6, 2000, Pages 693-703

Cauchy problem for nonlinear abstract functional differential equations with infinite delay

Author keywords

[No Author keywords available]

Indexed keywords

CONFORMAL MAPPING; INTEGRAL EQUATIONS; MATHEMATICAL OPERATORS; NONLINEAR EQUATIONS; THEOREM PROVING;

EID: 0034273953     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0898-1221(00)00188-7     Document Type: Article
Times cited : (16)

References (12)
  • 1
    • 84959842537 scopus 로고
    • Existence and uniqueness families for the abstract Cauchy problems
    • R. de Laubenfels, Existence and uniqueness families for the abstract Cauchy problems, J. London Math. Soc. 44, 310-338 (1991).
    • (1991) J. London Math. Soc. , vol.44 , pp. 310-338
    • De Laubenfels, R.1
  • 2
    • 0003288365 scopus 로고
    • Existence families, functional calculi and evolution equations
    • Springer-Verlag, Berlin
    • R. de Laubenfels, Existence families, functional calculi and evolution equations, in Lect. Notes in Math., Vol. 1570, Springer-Verlag, Berlin, (1994).
    • (1994) Lect. Notes in Math., Vol. 1570 , vol.1570
    • De Laubenfels, R.1
  • 3
    • 0003294457 scopus 로고    scopus 로고
    • The Cauchy problem for higher order abstract differential equations
    • Springer, Berlin
    • T.J. Xiao and J. Liang, The Cauchy problem for higher order abstract differential equations, in Lect. Notes in Math., Vol. 1701, Springer, Berlin, (1998).
    • (1998) Lect. Notes in Math., Vol. 1701 , vol.1701
    • Xiao, T.J.1    Liang, J.2
  • 4
    • 0002513583 scopus 로고
    • Phase space for retarded equations with infinite delay
    • J.K. Hale and J. Kato, Phase space for retarded equations with infinite delay, Funkcialaj Ekvacioj 21, 11-41 (1978).
    • (1978) Funkcialaj Ekvacioj , vol.21 , pp. 11-41
    • Hale, J.K.1    Kato, J.2
  • 5
    • 34250281436 scopus 로고
    • Existence and continuous dependence for functional differential equations with unbounded delay
    • K. Schumacher, Existence and continuous dependence for functional differential equations with unbounded delay, Arch. Rat. Mech. Ana. 67, 315-335 (1978).
    • (1978) Arch. Rat. Mech. Ana. , vol.67 , pp. 315-335
    • Schumacher, K.1
  • 6
    • 0007074798 scopus 로고
    • Solutions of abstract functional differential equations with infinite delay
    • J. Liang and T.J. Xiao, Solutions of abstract functional differential equations with infinite delay, Acta Math. Sinica 34, 631-644 (1991).
    • (1991) Acta Math. Sinica , vol.34 , pp. 631-644
    • Liang, J.1    Xiao, T.J.2
  • 7
    • 0001685894 scopus 로고
    • Functional differential equations with infinite delay in Banach spaces
    • J. Liang and T.J. Xiao, Functional differential equations with infinite delay in Banach spaces, Inter. J. Math. Math. Sci. 14, 497-508 (1991).
    • (1991) Inter. J. Math. Math. Sci. , vol.14 , pp. 497-508
    • Liang, J.1    Xiao, T.J.2
  • 8
    • 0007130880 scopus 로고    scopus 로고
    • Exponential stability for abstract linear autonomous functional differential equations with infinite delay
    • J. Liang, F.L. Huang and T.J. Xiao, Exponential stability for abstract linear autonomous functional differential equations with infinite delay, Inter. J. Math. Math. Sci. 21, 255-260 (1998).
    • (1998) Inter. J. Math. Math. Sci. , vol.21 , pp. 255-260
    • Liang, J.1    Huang, F.L.2    Xiao, T.J.3
  • 11
    • 0031076643 scopus 로고    scopus 로고
    • Regularity of solutions of abstract retarded functional differential equations with unbounded delay
    • H.R. Henriquez, Regularity of solutions of abstract retarded functional differential equations with unbounded delay, Nonlinear Anal. TMA 23, 513-531 (1997).
    • (1997) Nonlinear Anal. TMA , vol.23 , pp. 513-531
    • Henriquez, H.R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.