메뉴 건너뛰기




Volumn 2003, Issue , 2003, Pages 1-13

Existence and stability for some partial functional differential equations with infinite delay

Author keywords

Extrapolation spaces; Favard class; Hille Yosida operator; Infinite delay; Linearized stability; Mild solution; Partial functional differential equations; Regularity

Indexed keywords


EID: 3042638660     PISSN: 10726691     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (19)

References (16)
  • 1
    • 0002373922 scopus 로고    scopus 로고
    • A class of linear partial neutral functional differential equations with non-dense domain
    • M. Adimy and K. Ezzinbi, A class of linear partial neutral functional differential equations with non-dense domain, Journal of Differential Equations, 147; 285-332, (1998).
    • (1998) Journal of differential Equations , vol.147 , pp. 285-332
    • Adimy, M.1    Ezzinbi, K.2
  • 2
    • 3042556759 scopus 로고    scopus 로고
    • Existence and linearized stability for partial neutral functional differential with nondense domains
    • M. Adimy and K. Ezzinbi, Existence and linearized stability for partial neutral functional differential with nondense domains, Differential Equations and Dynamical Systems, Vol 7, No 4, 371-417, (1999).
    • (1999) Differential Equations and Dynamical Systems , vol.7 , Issue.4 , pp. 371-417
    • Adimy, M.1    Ezzinbi, K.2
  • 3
    • 0035480445 scopus 로고    scopus 로고
    • Existence for a class of partial functional differential equations with infinite delay
    • M. Adimy, H. Bouzahir and K. Ezzinbi, Existence for a class of partial functional differential equations with infinite delay, Nonlinear Analysis, Theory, Methods and Applications, Vol. 46, No 1, 91-112, (2001).
    • (2001) Nonlinear Analysis, Theory, Methods and Applications , vol.46 , Issue.1 , pp. 91-112
    • Adimy, M.1    Bouzahir, H.2    Ezzinbi, K.3
  • 4
    • 0036131704 scopus 로고    scopus 로고
    • Local existence and stability for some partial functional differential equations with infinite delay
    • M. Adimy, H. Bouzahir and K. Ezzinbi, Local existence and stability for some partial functional differential equations with infinite delay, Nonlinear Analysis, Theory, Methods and Applications, 48, 323-348, (2002).
    • (2002) Nonlinear Analysis, Theory, Methods and Applications , vol.48 , pp. 323-348
    • Adimy, M.1    Bouzahir, H.2    Ezzinbi, K.3
  • 6
    • 0002229116 scopus 로고
    • Linearized stability for nonlinear semigroups, Differential Equations in Banach Spaces
    • A. Favini and E. Obrecht, (eds.), Springer-Verlag
    • W. Desch and W. Schappacher, Linearized stability for nonlinear semigroups, Differential Equations in Banach Spaces, A. Favini and E. Obrecht, (eds.), 61-73, Lecture Notes in Math., Vol. 1223, Springer-Verlag, (1986).
    • (1986) Lecture Notes in Math. , vol.1223 , pp. 61-73
    • Desch, W.1    Schappacher, W.2
  • 7
    • 0003263134 scopus 로고    scopus 로고
    • One-parameter semigroups for linear evolution equations
    • Springer Verlag
    • K. Engel and R. Nagel, One-parameter semigroups for linear evolution equations, Graduate Texts in Mathematics, Springer Verlag, 194, (2001).
    • (2001) Graduate Texts in Mathematics , pp. 194
    • Engel, K.1    Nagel, R.2
  • 8
    • 0006761179 scopus 로고    scopus 로고
    • Linearized stability for semilinear non-autonomous evolution equations with applications to retarded differential equations
    • G. Guhring, F. Rabiger and W. Ruess, Linearized stability for semilinear non-autonomous evolution equations with applications to retarded differential equations, Journal of Differential and Integral Equations, Vol. 13, 503-527, (2000).
    • (2000) Journal of differential and Integral Equations , vol.13 , pp. 503-527
    • Guhring, G.1    Rabiger, F.2    Ruess, W.3
  • 10
    • 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, Funkcial Ekvac., 21, 11-41 (1978).
    • (1978) Funkcial Ekvac. , vol.21 , pp. 11-41
    • Hale, J.K.1    Kato, J.2
  • 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 Analysis, Theory Methods and Applications, 28 (3), 513-531 (1997).
    • (1997) Nonlinear Analysis, Theory Methods and Applications , vol.28 , Issue.3 , pp. 513-531
    • Henriquez, H.R.1
  • 12
    • 0003287113 scopus 로고
    • Functional Differential Equations with Infinite Delay
    • Springer-Verlag, Berlin
    • Y. Hino, S. Murakami and T. Naito, Functional Differential Equations with Infinite Delay, Lecture Notes in Mathematics, Springer-Verlag, Berlin, Vol. 1473, (1991).
    • (1991) Lecture Notes in Mathematics , vol.1473
    • Hino, Y.1    Murakami, S.2    Naito, T.3
  • 13
    • 0002861151 scopus 로고
    • Inhomogeneous Volterra integrodifferential equations for Hille-Yosida operators
    • K. D. Bierstedt, A. Pietsch, W.M. Ruess, D. Voigt (eds), Marcel Dekker
    • R. Nagel and E. Sinestrari, Inhomogeneous Volterra integrodifferential equations for Hille-Yosida operators, In K. D. Bierstedt, A. Pietsch, W.M. Ruess, D. Voigt (eds), Functional Analysis, 51-70, Marcel Dekker, (1989).
    • (1989) Functional Analysis , pp. 51-70
    • Nagel, R.1    Sinestrari, E.2
  • 15
    • 84968492827 scopus 로고
    • Existence and stability for partial functional differential equations
    • C. C. Travis and G. F. Webb, Existence and stability for partial functional differential equations, Transactions of American Mathematical Society, 200, 395-418 (1974).
    • (1974) Transactions of American Mathematical Society , vol.200 , pp. 395-418
    • Travis, C.C.1    Webb, G.F.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.