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Volumn 66, Issue 2, 2007, Pages 384-395

Existence and uniqueness of pseudo-almost periodic solutions to some classes of partial evolution equations

Author keywords

Almost periodic function; Existence and uniqueness of pseudo almost periodic solutions; Exponentially stable semigroup; Heat equation; Partial differential equations; Pseudo almost periodic function

Indexed keywords

ABSTRACTING; NONLINEAR SYSTEMS; TIME VARYING SYSTEMS;

EID: 33751016377     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.na.2005.11.031     Document Type: Article
Times cited : (36)

References (26)
  • 1
    • 0031126756 scopus 로고    scopus 로고
    • Pseudo almost periodic solutions for some differential equations in a Banach space
    • Ait Dads E., Ezzinbi K., and Arino O. Pseudo almost periodic solutions for some differential equations in a Banach space. Nonlinear Anal. 28 7 (1997) 1141-1155
    • (1997) Nonlinear Anal. , vol.28 , Issue.7 , pp. 1141-1155
    • Ait Dads, E.1    Ezzinbi, K.2    Arino, O.3
  • 2
    • 0030216446 scopus 로고    scopus 로고
    • Exponential dichotomy and existence of pseudo almost periodic solutions of some differential equations
    • Ait Dads E., and Arino O. Exponential dichotomy and existence of pseudo almost periodic solutions of some differential equations. Nonlinear Anal. 27 4 (1996) 369-386
    • (1996) Nonlinear Anal. , vol.27 , Issue.4 , pp. 369-386
    • Ait Dads, E.1    Arino, O.2
  • 3
    • 0006795644 scopus 로고    scopus 로고
    • Composition of pseudo-almost periodic functions and Cauchy problems with operator of nondense domain
    • Amir B., and Maniar L. Composition of pseudo-almost periodic functions and Cauchy problems with operator of nondense domain. Ann. Math. Blaise Pascal 6 1 (1999) 1-11
    • (1999) Ann. Math. Blaise Pascal , vol.6 , Issue.1 , pp. 1-11
    • Amir, B.1    Maniar, L.2
  • 4
    • 52449130431 scopus 로고    scopus 로고
    • Almost periodic solutions of semilinear equations with analytic semigroups in Banach spaces
    • Bahaj M., and Sidki O. Almost periodic solutions of semilinear equations with analytic semigroups in Banach spaces. Electron. J. Differential Equations 2002 98 (2002) 1-11
    • (2002) Electron. J. Differential Equations , vol.2002 , Issue.98 , pp. 1-11
    • Bahaj, M.1    Sidki, O.2
  • 6
    • 0035400758 scopus 로고    scopus 로고
    • Existence and uniqueness of pseudo almost periodic solutions of semilinear Cauchy problems with non-dense domain
    • Cuevas C., and Pinto M. Existence and uniqueness of pseudo almost periodic solutions of semilinear Cauchy problems with non-dense domain. Nonlinear Anal. 45 1 (2001) 73-83
    • (2001) Nonlinear Anal. , vol.45 , Issue.1 , pp. 73-83
    • Cuevas, C.1    Pinto, M.2
  • 7
    • 38249028871 scopus 로고
    • Well-posedness and wave propagation for a class of integro-differential equations in Banach space
    • Desch W., Grimmer R., Ronald, and Schappacher W. Well-posedness and wave propagation for a class of integro-differential equations in Banach space. J. Differential Equations 74 2 (1988) 391-411
    • (1988) J. Differential Equations , vol.74 , Issue.2 , pp. 391-411
    • Desch, W.1    Grimmer, R.2    Ronald3    Schappacher, W.4
  • 8
    • 12244256136 scopus 로고    scopus 로고
    • Pseudo almost periodic solutions to some differential equations
    • Diagana T. Pseudo almost periodic solutions to some differential equations. Nonlinear Anal. 60 7 (2005) 1277-1286
    • (2005) Nonlinear Anal. , vol.60 , Issue.7 , pp. 1277-1286
    • Diagana, T.1
  • 9
    • 33750993623 scopus 로고    scopus 로고
    • T. Diagana, C.M. Mahop, G.M. N'Guérékata, Pseudo almost periodic solution to some semilinear differential equations, Math. Comput. Modelling (2005) (in press)
  • 10
    • 33751015285 scopus 로고    scopus 로고
    • T. Diagana, C.M. Mahop, G.M. N'Guérékata, B. Toni, Existence and uniqueness of pseudo almost periodic solutions to some classes of semilinear differential equations and applications, Nonlinear Anal. (2005) (in press)
  • 11
    • 0003451932 scopus 로고
    • Springer-Verlag, New York, Berlin
    • Fink A.M. Almost Periodic Differential Equations. Lecture Notes in Mathematics vol. 377 (1974), Springer-Verlag, New York, Berlin
    • (1974) Lecture Notes in Mathematics , vol.377
    • Fink, A.M.1
  • 12
    • 84935199547 scopus 로고
    • Convexity, boundedness, and almost periodicity for differential equations in Hilbert space
    • Goldstein J.A. Convexity, boundedness, and almost periodicity for differential equations in Hilbert space. Internat. J. Math. Math. Sci. 2 1 (1979) 1-13
    • (1979) Internat. J. Math. Math. Sci. , vol.2 , Issue.1 , pp. 1-13
    • Goldstein, J.A.1
  • 13
    • 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
  • 14
    • 11144356814 scopus 로고    scopus 로고
    • Existence results for partial neutral integro-differential equations with unbounded delay
    • Hernández E. Existence results for partial neutral integro-differential 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
  • 15
    • 3042737696 scopus 로고    scopus 로고
    • Asymptotically almost periodic and almost periodic solutions for a class of evolution equations
    • Hernandez M. E., Pelicer M.L., and dos Santos J.P.C. Asymptotically almost periodic and almost periodic solutions for a class of evolution equations. Electron. J. Differential Equations 2004 61 (2004) 1-15
    • (2004) Electron. J. Differential Equations , vol.2004 , Issue.61 , pp. 1-15
    • Hernandez M., E.1    Pelicer, M.L.2    dos Santos, J.P.C.3
  • 17
    • 0035869881 scopus 로고    scopus 로고
    • Composition of pseudo almost-periodic functions and semilinear differential equations
    • Li H.X., Huang F.L., and Li J.Y. Composition of pseudo almost-periodic functions and semilinear differential equations. J. Math. Anal. Appl. 255 2 (2001) 436-446
    • (2001) J. Math. Anal. Appl. , vol.255 , Issue.2 , pp. 436-446
    • Li, H.X.1    Huang, F.L.2    Li, J.Y.3
  • 18
    • 33751001183 scopus 로고
    • Birkhäuser Verlag, Basel
    • Lunardi A. Analytic Semigroups and Optimal Regularity in Parabolic Problems. PNLDE vol. 16 (1995), Birkhäuser Verlag, Basel
    • (1995) PNLDE , vol.16
    • Lunardi, A.1
  • 22
    • 0003419908 scopus 로고
    • An introduction to partial differential equations
    • Renardy M., and Rogers R.C. An introduction to partial differential equations. Texts Appl. Math. 13 (1992)
    • (1992) Texts Appl. Math. , vol.13
    • Renardy, M.1    Rogers, R.C.2
  • 23
    • 0542365370 scopus 로고
    • Topics in Abstract Differential Equations
    • John Wiley and Sons, New York
    • Zaidman S. Topics in Abstract Differential Equations. Pitman Research Notes in Mathematics Ser. II (1994-1995), John Wiley and Sons, New York
    • (1995) Pitman Research Notes in Mathematics Ser. II
    • Zaidman, S.1
  • 24
    • 0000743990 scopus 로고
    • Pseudo almost periodic solutions of some differential equations
    • Zhang C.Y. Pseudo almost periodic solutions of some differential equations. J. Math. Anal. Appl. 181 1 (1994) 62-76
    • (1994) J. Math. Anal. Appl. , vol.181 , Issue.1 , pp. 62-76
    • Zhang, C.Y.1
  • 25
    • 0000479945 scopus 로고
    • Pseudo almost periodic solutions of some differential equations. II
    • Zhang C.Y. Pseudo almost periodic solutions of some differential equations. II. J. Math. Anal. Appl. 192 2 (1995) 543-561
    • (1995) J. Math. Anal. Appl. , vol.192 , Issue.2 , pp. 543-561
    • Zhang, C.Y.1
  • 26
    • 84966211078 scopus 로고
    • Integration of vector-valued pseudo almost periodic functions
    • Zhang C.Y. Integration of vector-valued pseudo almost periodic functions. Proc. Amer. Math. Soc. 121 1 (1994) 167-174
    • (1994) Proc. Amer. Math. Soc. , vol.121 , Issue.1 , pp. 167-174
    • Zhang, C.Y.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.