메뉴 건너뛰기




Volumn 64, Issue 11, 2006, Pages 2442-2453

Existence and uniqueness of pseudo-almost periodic solutions to some classes of semilinear differential equations and applications

Author keywords

Almost periodic function; Existence and uniqueness of pseudo almost periodic solutions; Fractional powers of operators; Infinitesimal generator of an analytic semigroup; Pseudo almost periodic function; Second order partial differential equations

Indexed keywords

FUNCTIONS; MATHEMATICAL OPERATORS; PARTIAL DIFFERENTIAL EQUATIONS;

EID: 33644962661     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.na.2005.08.024     Document Type: Article
Times cited : (47)

References (21)
  • 1
    • 0030216446 scopus 로고    scopus 로고
    • Exponential dichotomy and existence of pseudo almost periodic solutions of some differential equations
    • E. Ait Dads, and O. Arino 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
  • 2
    • 0031126756 scopus 로고    scopus 로고
    • Pseudo almost periodic solutions for some differential equations in a Banach space
    • E. Ait Dads, K. Ezzinbi, and O. Arino 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
  • 3
    • 0006795644 scopus 로고    scopus 로고
    • Composition of pseudo-almost periodic functions and Cauchy problems with operator of nondense domain
    • B. Amir, and L. Maniar 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
    • M. Bahaj, and O. Sidki 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
    • C. Cuevas, and M. Pinto Existence and uniqueness of pseudo almost periodic solutions of semilinear Cauchy problems with non-dense domain Nonlinear Anal. Ser. A: Theory Methods 45 1 2001 73 83
    • (2001) Nonlinear Anal. Ser. A: Theory Methods , vol.45 , Issue.1 , pp. 73-83
    • Cuevas, C.1    Pinto, M.2
  • 7
    • 12244256136 scopus 로고    scopus 로고
    • Pseudo almost periodic solutions to some differential equations
    • T. Diagana 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
  • 8
    • 33644965739 scopus 로고    scopus 로고
    • Pseudo almost periodic solution to some semilinear differential equations
    • in press
    • T. Diagana, C.M. Mahop, G.M. N'Guérékata, Pseudo almost periodic solution to some semilinear differential equations, Math. Comput. Modelling, 2005, in press.
    • (2005) Math. Comput. Modelling
    • Diagana, T.1    Mahop, C.M.2    N'Guérékata, G.M.3
  • 9
    • 0003233070 scopus 로고
    • Almost Periodic Differential Equations
    • Springer New York, Berlin
    • A.M. Fink Almost Periodic Differential Equations Lecture Notes in Mathematics vol. 377 1974 Springer New York, Berlin
    • (1974) Lecture Notes in Mathematics , vol.377
    • Fink, A.M.1
  • 10
    • 84935199547 scopus 로고
    • Convexity, boundedness, and almost periodicity for differential equations in Hilbert space
    • J.A. Goldstein Convexity, boundedness, and almost periodicity for differential equations in Hilbert space Int. J. Math. Math. Sci. 2 1 1979 1 13
    • (1979) Int. J. Math. Math. Sci. , vol.2 , Issue.1 , pp. 1-13
    • Goldstein, J.A.1
  • 12
    • 0035869881 scopus 로고    scopus 로고
    • Composition of pseudo almost-periodic functions and semilinear differential equations
    • H.X. Li, F.L. Huang, and J.Y. Li 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
  • 15
    • 0004072404 scopus 로고
    • Bounded and almost periodic solutions of nonlinear operator differential equations
    • (translated from Russian by V.S. Zjackovski, A.A. Pankov) Kluwer Academic Publishers, Dordrecht
    • A.A. Pankov, Bounded and Almost Periodic Solutions of Nonlinear Operator Differential Equations (translated from Russian by V.S. Zjackovski, A.A. Pankov). Mathematics and Applications (Russian Series), vol. 55, Kluwer Academic Publishers, Dordrecht, 1985.
    • (1985) Mathematics and Applications (Russian Series) , vol.55
    • Pankov, A.A.1
  • 17
    • 0003419908 scopus 로고
    • An introduction to partial differential equations
    • Springer New York, Berlin, Heidelberg, London, Paris
    • M. Renardy, and R.C. Rogers An introduction to partial differential equations Texts in Applied Mathematics vol. 13 1992 Springer New York, Berlin, Heidelberg, London, Paris
    • (1992) Texts in Applied Mathematics , vol.13
    • Renardy, M.1    Rogers, R.C.2
  • 19
    • 0000743990 scopus 로고
    • Pseudo almost periodic solutions of some differential equations
    • C.Y. Zhang 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
  • 20
    • 84966211078 scopus 로고
    • Integration of vector-valued pseudo almost periodic functions
    • C.Y. Zhang Integration of vector-valued pseudo almost periodic functions Proc. Am. Math. Soc. 121 1 1994 167 174
    • (1994) Proc. Am. Math. Soc. , vol.121 , Issue.1 , pp. 167-174
    • Zhang, C.Y.1
  • 21
    • 0000479945 scopus 로고
    • Pseudo almost periodic solutions of some differential equations, II
    • C.Y. Zhang 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


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.