메뉴 건너뛰기




Volumn 71, Issue 1-2, 2009, Pages 248-257

Existence of asymptotically almost automorphic solutions to some abstract partial neutral integro-differential equations

Author keywords

Almost automorphic; Asymptotic compact almost automorphic; Asymptotically almost automorphic function; Partial neutral integro differential equations

Indexed keywords

ALMOST AUTOMORPHIC; ASYMPTOTIC COMPACT ALMOST AUTOMORPHIC; ASYMPTOTICALLY ALMOST AUTOMORPHIC FUNCTION; EXISTENCE AND UNIQUENESS; INTEGRO-DIFFERENTIAL EQUATION]; MILD SOLUTIONS; PARTIAL NEUTRAL INTEGRO-DIFFERENTIAL EQUATIONS; UNBOUNDED DELAYS;

EID: 64849090450     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.na.2008.10.046     Document Type: Article
Times cited : (47)

References (31)
  • 1
    • 0001074459 scopus 로고
    • A new approach to almost periodicity
    • Bochner S. A new approach to almost periodicity. Proc. Natl. Acad. Sci. USA 48 (1962) 2039-2043
    • (1962) Proc. Natl. Acad. Sci. USA , vol.48 , pp. 2039-2043
    • Bochner, S.1
  • 2
    • 9244234347 scopus 로고    scopus 로고
    • On the topological structure of almost automorphic and asymptotically almost automorphic solutions of differential and integral equations in abstract spaces
    • Bugajewski D., and N'Guérékata G.M. On the topological structure of almost automorphic and asymptotically almost automorphic solutions of differential and integral equations in abstract spaces. Nonlinear Anal. 59 8 (2004) 1333-1345
    • (2004) Nonlinear Anal. , vol.59 , Issue.8 , pp. 1333-1345
    • Bugajewski, D.1    N'Guérékata, G.M.2
  • 3
    • 33747673826 scopus 로고    scopus 로고
    • Almost automorphy of the convolution operator and applications to differential and functional-differential equations
    • Bugajewski D., and Diagana T. Almost automorphy of the convolution operator and applications to differential and functional-differential equations. Nonlinear Stud. 13 2 (2006) 129-140
    • (2006) Nonlinear Stud. , vol.13 , Issue.2 , pp. 129-140
    • Bugajewski, D.1    Diagana, T.2
  • 4
    • 0018290394 scopus 로고
    • Control and stabilization for the wave equation in a bounded domain
    • Chen G. Control and stabilization for the wave equation in a bounded domain. SIAM J. Control Optim. 17 1 (1979) 66-81
    • (1979) SIAM J. Control Optim. , vol.17 , Issue.1 , pp. 66-81
    • Chen, G.1
  • 5
    • 38249028871 scopus 로고
    • Well-posedness and wave propagation for a class of integrodifferential equations in Banach space
    • Desch W., Grimmer R., and Schappacher W. Well-posedness and wave propagation for a class of integrodifferential equations in Banach space. J. Differential Equations 74 20 (1988) 391-411
    • (1988) J. Differential Equations , vol.74 , Issue.20 , pp. 391-411
    • Desch, W.1    Grimmer, R.2    Schappacher, W.3
  • 6
    • 44649086371 scopus 로고    scopus 로고
    • Almost automorphic mild solutions to some partial neutral functional-differential Equations and Applications.
    • Diagana T., Henríquez H.R., and Hernández E. Almost automorphic mild solutions to some partial neutral functional-differential Equations and Applications. Nonlinear Anal. 69 5 (2008) 1485-1493
    • (2008) Nonlinear Anal. , vol.69 , Issue.5 , pp. 1485-1493
    • Diagana, T.1    Henríquez, H.R.2    Hernández, E.3
  • 7
    • 53249141916 scopus 로고    scopus 로고
    • Almost automorphic solutions to semilinear evolution equations
    • Diagana T., and N'Guérékata G.M. Almost automorphic solutions to semilinear evolution equations. Funct. Differ. Equ. 13 2 (2006) 195-206
    • (2006) Funct. Differ. Equ. , vol.13 , Issue.2 , pp. 195-206
    • Diagana, T.1    N'Guérékata, G.M.2
  • 8
    • 33751210326 scopus 로고    scopus 로고
    • Almost automorphic solutions to some classes of partial evolution equations
    • Diagana T., and N'Guérékata G.M. Almost automorphic solutions to some classes of partial evolution equations. Appl. Math. Lett. 20 4 (2007) 462-466
    • (2007) Appl. Math. Lett. , vol.20 , Issue.4 , pp. 462-466
    • Diagana, T.1    N'Guérékata, G.M.2
  • 9
    • 7244239595 scopus 로고    scopus 로고
    • Almost automorphic solutions of evolution equations
    • Diagana T., N'Guérékata G.M., and Minh N.V. Almost automorphic solutions of evolution equations. Proc. Amer. Math. Soc. 132 11 (2004) 3289-3298
    • (2004) Proc. Amer. Math. Soc. , vol.132 , Issue.11 , pp. 3289-3298
    • Diagana, T.1    N'Guérékata, G.M.2    Minh, N.V.3
  • 10
    • 34548847768 scopus 로고    scopus 로고
    • Asymptotically almost automorphic solutions for some integrodifferential equations with nonlocal initial conditions
    • Ding H.S., Xiao T., and Liang J. Asymptotically almost automorphic solutions for some integrodifferential equations with nonlocal initial conditions. J. Math. Anal. Appl. 338 1 (2008) 141-151
    • (2008) J. Math. Anal. Appl. , vol.338 , Issue.1 , pp. 141-151
    • Ding, H.S.1    Xiao, T.2    Liang, J.3
  • 11
    • 29844434305 scopus 로고    scopus 로고
    • A Massera type theorem for almost automorphic solutions of functional differential equations of neutral type
    • Ezzinbi K., and N'Guérékata G.M. A Massera type theorem for almost automorphic solutions of functional differential equations of neutral type. J. Math. Anal. Appl. 316 (2006) 707-721
    • (2006) J. Math. Anal. Appl. , vol.316 , pp. 707-721
    • Ezzinbi, K.1    N'Guérékata, G.M.2
  • 12
    • 84968513023 scopus 로고
    • Resolvent operators for integral equations in a Banach space
    • Grimmer R. Resolvent operators for integral equations in a Banach space. Trans. Amer. Math. Soc. 273 1 (1982) 333-349
    • (1982) Trans. Amer. Math. Soc. , vol.273 , Issue.1 , pp. 333-349
    • Grimmer, R.1
  • 13
    • 0040364815 scopus 로고
    • On linear Volterra equations in Banach spaces. Hyperbolic partial differential equations II
    • Grimmer R., and Prüss J. On linear Volterra equations in Banach spaces. Hyperbolic partial differential equations II. Comput. Math. Appl. 11 (1985) 189-205
    • (1985) Comput. Math. Appl. , vol.11 , pp. 189-205
    • Grimmer, R.1    Prüss, J.2
  • 15
    • 0000913699 scopus 로고
    • Partial neutral functional-differential equations
    • Hale J.K. Partial neutral functional-differential equations. Rev. Roumaine Math. Pures Appl. 39 4 (1994) 339-344
    • (1994) Rev. Roumaine Math. Pures Appl. , vol.39 , Issue.4 , pp. 339-344
    • Hale, J.K.1
  • 16
    • 34548324372 scopus 로고    scopus 로고
    • Asymptotically almost periodic and almost periodic solutions for partial neutral integrodifferential equations
    • Henríquez H.R., Hernández E., and dos Santos J.P.C. Asymptotically almost periodic and almost periodic solutions for partial neutral integrodifferential equations. Z. Anal. Anwend. 26 3 (2007) 261-375
    • (2007) Z. Anal. Anwend. , vol.26 , Issue.3 , pp. 261-375
    • Henríquez, H.R.1    Hernández, E.2    dos Santos, J.P.C.3
  • 17
    • 0000308613 scopus 로고    scopus 로고
    • Existence results for partial neutral functional differential equations with unbounded delay
    • Hernández E., and Henríquez H.R. Existence results for partial neutral functional differential equations with unbounded delay. J. Math. Anal. Appl. 221 2 (1998) 452-475
    • (1998) J. Math. Anal. Appl. , vol.221 , Issue.2 , pp. 452-475
    • Hernández, E.1    Henríquez, H.R.2
  • 18
    • 0000308614 scopus 로고    scopus 로고
    • Existence of periodic solutions of partial neutral functional differential equations with unbounded delay
    • Hernández E., and Henríquez H.R. Existence of periodic solutions of partial neutral functional differential equations with unbounded delay. J. Math. Anal. Appl. 221 2 (1998) 499-522
    • (1998) J. Math. Anal. Appl. , vol.221 , Issue.2 , pp. 499-522
    • Hernández, E.1    Henríquez, H.R.2
  • 19
    • 64849111140 scopus 로고    scopus 로고
    • Existence results for partial neutral integro differential equations with unbounded delay
    • Hernández E., and dos Santos J.P.C. Existence results for partial neutral integro differential equations with unbounded delay. Appl. Anal. 86 2 (2007) 223-237
    • (2007) Appl. Anal. , vol.86 , Issue.2 , pp. 223-237
    • Hernández, E.1    dos Santos, J.P.C.2
  • 20
    • 11144356814 scopus 로고    scopus 로고
    • Existence results for partial neutral integrodifferential equations with unbounded delay
    • Hernández E. Existence results for partial neutral integrodifferential equations with unbounded delay. J. Math. Anal. Appl. 292 1 (2004) 194-210
    • (2004) J. Math. Anal. Appl. , vol.292 , Issue.1 , pp. 194-210
    • Hernández, E.1
  • 21
    • 0242425162 scopus 로고    scopus 로고
    • Almost automorphic solutions for abstract functional differential equations
    • Hino Y., and Murakami S. Almost automorphic solutions for abstract functional differential equations. J. Math. Anal. Appl. 286 (2003) 741-752
    • (2003) J. Math. Anal. Appl. , vol.286 , pp. 741-752
    • Hino, Y.1    Murakami, S.2
  • 23
    • 0039114395 scopus 로고
    • Sur les solutions presque automorphes d'équations différentielles abstraites
    • N'Guérékata G.M. Sur les solutions presque automorphes d'équations différentielles abstraites. Ann. Sci. Math. Québec. 1 (1981) 69-79
    • (1981) Ann. Sci. Math. Québec. , vol.1 , pp. 69-79
    • N'Guérékata, G.M.1
  • 26
    • 44649144364 scopus 로고
    • Almost automorphic functions
    • Veech W.A. Almost automorphic functions. Proc. Natl. Acad. Sci. USA 49 (1963) 462-464
    • (1963) Proc. Natl. Acad. Sci. USA , vol.49 , pp. 462-464
    • Veech, W.A.1
  • 27
    • 0142046253 scopus 로고    scopus 로고
    • Rotating waves in neutral partial functional-differential equations
    • Wu J., and Xia H. Rotating waves in neutral partial functional-differential equations. J. Dynam. Differential Equations 11 2 (1999) 209-238
    • (1999) J. Dynam. Differential Equations , vol.11 , Issue.2 , pp. 209-238
    • Wu, J.1    Xia, H.2
  • 28
    • 0029692971 scopus 로고    scopus 로고
    • Self-sustained oscillations in a ring array of coupled lossless transmission lines
    • Wu J., and Xia H. Self-sustained oscillations in a ring array of coupled lossless transmission lines. J. Differential Equations 124 1 (1996) 247-278
    • (1996) J. Differential Equations , vol.124 , Issue.1 , pp. 247-278
    • Wu, J.1    Xia, H.2
  • 29
    • 33846359165 scopus 로고    scopus 로고
    • Springer-Verlag, New York
    • Wu J. Theory and Applications of Partial Functional-differential Equations. Applied Mathematical Sciences vol. 119 (1996), Springer-Verlag, New York
    • (1996) Applied Mathematical Sciences , vol.119
    • Wu, J.1
  • 30
    • 44649149362 scopus 로고
    • Almost automorphic solutions of some abstract evolution equations. II
    • Zaidman S. Almost automorphic solutions of some abstract evolution equations. II. Istit. Lombardo. Accad. Sci. Lett. Rend. A 111 2 (1977) 260-272
    • (1977) Istit. Lombardo. Accad. Sci. Lett. Rend. A , vol.111 , Issue.2 , pp. 260-272
    • Zaidman, S.1
  • 31
    • 0010072517 scopus 로고
    • Almost automorphic solutions of certain abstract differential equations
    • Zaki M. Almost automorphic solutions of certain abstract differential equations. Ann. Mat. Pura Appl. 101 4 (1974) 91-114
    • (1974) Ann. Mat. Pura Appl. , vol.101 , Issue.4 , pp. 91-114
    • Zaki, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.