메뉴 건너뛰기




Volumn 132, Issue 11, 2004, Pages 3289-3298

Almost automorphic solutions of evolution equations

Author keywords

Almost automorphic solution; Analytic semigroup; Sums of commuting operators; Uniform spectrum

Indexed keywords


EID: 7244239595     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0002-9939-04-07571-9     Document Type: Conference Paper
Times cited : (74)

References (28)
  • 1
    • 0001011226 scopus 로고
    • Spectral properties of the operator equation AX + XB = Y
    • MR 95g:47060
    • W. Arendt, F. Räbiger, A. Sourour, Spectral properties of the operator equation AX + XB = Y, Quart. J. Math. Oxford (2), 45 (1994), 133-149. MR 95g:47060
    • (1994) Quart. J. Math. Oxford (2) , vol.45 , pp. 133-149
    • Arendt, W.1    Räbiger, F.2    Sourour, A.3
  • 2
    • 0003307607 scopus 로고    scopus 로고
    • Vector-valued Laplace transforms and Cauchy problems
    • Birkhäuser Verlag, Basel, . MR 2003g:47072
    • W. Arendt, C.J.K. Batty, M. Hieber, F. Neubrander, Vector-valued Laplace transforms and Cauchy problems, Monographs in Mathematics, 96, Birkhäuser Verlag, Basel, 2001. MR 2003g:47072
    • (2001) Monographs in Mathematics , vol.96
    • Arendt, W.1    Batty, C.J.K.2    Hieber, M.3    Neubrander, F.4
  • 3
    • 0002027305 scopus 로고    scopus 로고
    • Harmonic analysis and asymptotic behavior of solutions to the abstract Cauchy problem
    • MR 98f:47049
    • B. Basit, Harmonic analysis and asymptotic behavior of solutions to the abstract Cauchy problem, Semigroup Forum 54 (1997), 58-74. MR 98f:47049
    • (1997) Semigroup Forum , vol.54 , pp. 58-74
    • Basit, B.1
  • 4
    • 0033543053 scopus 로고    scopus 로고
    • Almost periodicity of mild solutions of inhomogeneous periodic Cauchy problems
    • MR 2001c:34116
    • C.J.K. Batty, W. Hutter, F. Räbiger, Almost periodicity of mild solutions of inhomogeneous periodic Cauchy problems, J. Differential Equations 156 (1999), 309-327. MR 2001c:34116
    • (1999) J. Differential Equations , vol.156 , pp. 309-327
    • Batty, C.J.K.1    Hutter, W.2    Räbiger, F.3
  • 5
    • 0000373701 scopus 로고
    • Sommes d'opérateurs linéaires et équations différentielles opérationelles
    • MR 56:1129
    • G. Da Prato, P. Grisvard, Sommes d'opérateurs linéaires et équations différentielles opérationelles, J. Math. Pures Appl. 54 (1975), 305-387. MR 56:1129
    • (1975) J. Math. Pures Appl. , vol.54 , pp. 305-387
    • Da Prato, G.1    Grisvard, P.2
  • 7
    • 2942511737 scopus 로고    scopus 로고
    • Some remarks on almost automorphic solutions of some abstract differential equations
    • MR 2004d:34123
    • . T. Diagana and G. M. N'Guerekata, Some remarks on almost automorphic solutions of some abstract differential equations, Far East J. of Math. Sci. 8(3) (2003), 313-322. MR 2004d:34123
    • (2003) Far East J. of Math. Sci. , vol.8 , Issue.3 , pp. 313-322
    • Diagana, T.1    N'Guerekata, G.M.2
  • 12
    • 84966204365 scopus 로고
    • A linear almost periodic equation with an almost automorphic solution
    • MR 82i:34044a
    • R. Johnson, A linear almost periodic equation with an almost automorphic solution, Proc. Amer. Math. Soc. 82 (1981), no. 2, 199-205. MR 82i:34044a
    • (1981) Proc. Amer. Math. Soc. , vol.82 , Issue.2 , pp. 199-205
    • Johnson, R.1
  • 15
    • 0002978017 scopus 로고    scopus 로고
    • Evolution semigroups and sums of commuting operators: A new approach to the admissibility theory of function spaces
    • MR 2001d:47063
    • S. Murakami, T. Naito, N.V. Minh, Evolution semigroups and sums of commuting operators: a new approach to the admissibility theory of function spaces, J. Differential Equations 164 (2000), 240-285. MR 2001d:47063
    • (2000) J. Differential Equations , vol.164 , pp. 240-285
    • Murakami, S.1    Naito, T.2    Minh, N.V.3
  • 16
    • 0033095590 scopus 로고    scopus 로고
    • Evolution semigroups and spectral criteria for almost periodic solutions of periodic evolution equations
    • MR 99m:34131
    • T. Naito, N.V. Minh, Evolution semigroups and spectral criteria for almost periodic solutions of periodic evolution equations, J. Differential Equations 152 (1999), 358-376. MR 99m:34131
    • (1999) J. Differential Equations , vol.152 , pp. 358-376
    • Naito, T.1    Minh, N.V.2
  • 17
    • 0035661223 scopus 로고    scopus 로고
    • New spectral criteria for almost periodic solutions of evolution equations
    • MR 2002d:34092
    • T. Naito, N.V. Minh, J. S. Shin, New spectral criteria for almost periodic solutions of evolution equations, Studia Mathematica 145 (2001), 97-111. MR 2002d:34092
    • (2001) Studia Mathematica , vol.145 , pp. 97-111
    • Naito, T.1    Minh, N.V.2    Shin, J.S.3
  • 20
    • 0039706506 scopus 로고    scopus 로고
    • Almost automorphic functions and applications to abstract evolution equations
    • MR 2001a:34097
    • G. M. N'Guerekata, Almost automorphic functions and applications to abstract evolution equations, Contemporary Math. 252 (1999), 71-76. MR 2001a:34097
    • (1999) Contemporary Math. , vol.252 , pp. 71-76
    • N'Guerekata, G.M.1
  • 22
    • 0003316678 scopus 로고
    • Semigroups of Linear Operators and Applications to Partial Differential Equations
    • Springer-Verlag, Berlin-New York . MR 85g:47061
    • A. Pazy, Semigroups of Linear Operators and Applications to Partial Differential Equations, Applied Math. Sci. 44, Springer-Verlag, Berlin-New York 1983. MR 85g:47061
    • (1983) Applied Math. Sci. , vol.44
    • Pazy, A.1
  • 24
    • 0000928568 scopus 로고    scopus 로고
    • Almost periodicity and stability for solutions to functional-differential equations with infinite delay
    • MR 97m:34159
    • W. M. Ruess, W.H. Summers, Almost periodicity and stability for solutions to functional-differential equations with infinite delay, Differential and Integral Equations, 9 (1996), no. 6, 1225-1252. MR 97m:34159
    • (1996) Differential and Integral Equations , vol.9 , Issue.6 , pp. 1225-1252
    • Ruess, W.M.1    Summers, W.H.2
  • 25
    • 0000392619 scopus 로고
    • Asymptotically almost periodic solutions of evolution equations in Banach spaces
    • MR 96i:34143
    • W.M. Ruess, Q.P. Vu, Asymptotically almost periodic solutions of evolution equations in Banach spaces, J. Differential Equations 122 (1995), 282-301. MR 96i:34143
    • (1995) J. Differential Equations , vol.122 , pp. 282-301
    • Ruess, W.M.1    Vu, Q.P.2
  • 26
    • 0013080113 scopus 로고    scopus 로고
    • Almost Automorphic and Almost Periodic Dynamics in Skew-product Semiflows
    • MR 99d:34088
    • W. Shen, Y. Yi, Almost Automorphic and Almost Periodic Dynamics in Skew-Product Semiflows, Memoirs of the Amer. Math. Soc. 136 (1998). MR 99d:34088
    • (1998) Memoirs of the Amer. Math. Soc. , vol.136
    • Shen, W.1    Yi, Y.2
  • 27
    • 0001134447 scopus 로고    scopus 로고
    • The operator equation AX - XB = C, admissibility, and asymptotic behaviour of differential equations
    • MR99h:34081
    • Q.P. Vu, E. Schüler, The operator equation AX - XB = C, admissibility, and asymptotic behaviour of differential equations, J. Differential Equations 145 (1998), 394-419. MR99h:34081
    • (1998) J. Differential Equations , vol.145 , pp. 394-419
    • Vu, Q.P.1    Schüler, E.2
  • 28
    • 0542365370 scopus 로고
    • Pitman Research Notes in Mathematics Series, Longman Scientific & Technical, New York, MR 95f:34087
    • S. Zaidman, Topics in abstract differential equations, Pitman Research Notes in Mathematics Series, 304, Longman Scientific & Technical, New York, 1994. MR 95f:34087
    • (1994) Topics in Abstract Differential Equations , vol.304
    • Zaidman, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.