메뉴 건너뛰기




Volumn 208, Issue 1 SPEC.ISS., 2005, Pages 124-146

Complete guiding sets for a class of almost-periodic differential equations

Author keywords

Bounded solutions; Exponential dichotomy; Guiding functions

Indexed keywords


EID: 10944241750     PISSN: 00220396     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jde.2003.08.005     Document Type: Article
Times cited : (4)

References (35)
  • 2
    • 0001466960 scopus 로고    scopus 로고
    • Almost periodic solutions of first- and second-order Cauchy problems
    • Arendt W. Batty C. Almost periodic solutions of first- and second-order Cauchy problems J. Differential Equations 137 2 1997 363-383
    • (1997) J. Differential Equations , vol.137 , Issue.2 , pp. 363-383
    • Arendt, W.1    Batty, C.2
  • 3
    • 0029692973 scopus 로고    scopus 로고
    • Existence of almost periodic weak type solutions for the conservative forced pendulum equation
    • Belley J. Fournier G. Hayes J. Existence of almost periodic weak type solutions for the conservative forced pendulum equation J. Differential Equations 124 1 1996 205-224
    • (1996) J. Differential Equations , vol.124 , Issue.1 , pp. 205-224
    • Belley, J.1    Fournier, G.2    Hayes, J.3
  • 5
    • 10944260281 scopus 로고
    • Bounded solutions for some ordinary differential equations
    • (Russian)
    • Demidovic B.P. Bounded solutions for some ordinary differential equations Mat. Sb. N. S. 40 82 1956 73-94 (Russian)
    • (1956) Mat. Sb. N. S. , vol.40 , Issue.82 , pp. 73-94
    • Demidovic, B.P.1
  • 7
    • 0010119436 scopus 로고
    • Topological dynamics and linear differential systems
    • Ellis R. Johnson R. Topological dynamics and linear differential systems J. Differential Equations 44 1982 21-39
    • (1982) J. Differential Equations , vol.44 , pp. 21-39
    • Ellis, R.1    Johnson, R.2
  • 9
    • 84968503776 scopus 로고
    • Guiding functions and periodic solutions to functional differential equations
    • Fonda A. Guiding functions and periodic solutions to functional differential equations Proc. Amer. Math. Soc. 99 1 1987 79-85
    • (1987) Proc. Amer. Math. Soc. , vol.99 , Issue.1 , pp. 79-85
    • Fonda, A.1
  • 10
    • 0032326253 scopus 로고    scopus 로고
    • Bounded solutions of nonlinear second order ordinary differential equations
    • Fonda A. Zanolin F. Bounded solutions of nonlinear second order ordinary differential equations Discrete Contin. Dyn. Systems 4 1 1998 91-98
    • (1998) Discrete Contin. Dyn. Systems , vol.4 , Issue.1 , pp. 91-98
    • Fonda, A.1    Zanolin, F.2
  • 11
    • 0037139632 scopus 로고    scopus 로고
    • Boundedness and almost-periodicity of solutions of partial differential equations
    • Furumochi T. Naito T. Van Minh N. Boundedness and almost-periodicity of sol lutions of partial differential equations J. Differential Equations 180 2002 125-152
    • (2002) J. Differential Equations , vol.180 , pp. 125-152
    • Furumochi, T.1    Naito, T.2    Van Minh, N.3
  • 14
    • 0003324723 scopus 로고
    • Introduction to Functional Differential Equations
    • Springer, Berlin, Heidelberg, New York
    • J.K. Hale, S.M. Verdyun Lunel, Introduction to Functional Differential Equations, Appl. Math. Sciences, Vol. 99, Springer, Berlin, Heidelberg, New York, 1993.
    • (1993) Appl. Math. Sciences , vol.99
    • Hale, J.K.1    Verdyun Lunel, S.M.2
  • 15
    • 0002087589 scopus 로고
    • On the existence of periodic solutions for linear inhomogeneous and quasilinear functional differential equations
    • Hatvani L. Krisztin T. On the existence of periodic solutions for linear inhomogeneous and quasilinear functional differential equations J. Differential Equations 97 1992 1-15
    • (1992) J. Differential Equations , vol.97 , pp. 1-15
    • Hatvani, L.1    Krisztin, T.2
  • 17
    • 51249186136 scopus 로고
    • Minimal functions with unbounded integral
    • Johnson R. Minimal functions with unbounded integral Israel J. Math. 31 2 1978 133-141
    • (1978) Israel J. Math. , vol.31 , Issue.2 , pp. 133-141
    • Johnson, R.1
  • 18
    • 85012593635 scopus 로고
    • On a Floquet theory for almost-periodic, two-dimensional linear systems
    • Johnson R. On a Floquet theory for almost-periodic, two-dimensional linear systems J. Differential Equations 37 1980 184-205
    • (1980) J. Differential Equations , vol.37 , pp. 184-205
    • Johnson, R.1
  • 23
    • 10944267767 scopus 로고
    • Sur l'existence de solutions bornées et périodiques des systèmes quasi-linéaires d'équations différentielles
    • Massera J.L. Sur l'existence de solutions bornées et périodiques des systèmes quasi-linéaires d'équations différentielles Ann. Mat. Pura Appl. IV 51 1960 95-105
    • (1960) Ann. Mat. Pura Appl. IV , vol.51 , pp. 95-105
    • Massera, J.L.1
  • 24
    • 0000617020 scopus 로고
    • Periodic solutions of nonlinear functional differential equations
    • Mawhin J. Periodic solutions of nonlinear functional differential equations J. Differential Equations 10 1971 240-261
    • (1971) J. Differential Equations , vol.10 , pp. 240-261
    • Mawhin, J.1
  • 26
    • 0000310624 scopus 로고    scopus 로고
    • Bounded solutions of some second-order nonlinear differential equations
    • Mawhin J. Ward J.R. Bounded solutions of some second-order nonlinear differential equations J. Lond. Math. Soc. II. Ser. 58 3 1999 733-747
    • (1999) J. Lond. Math. Soc. II. Ser. , vol.58 , Issue.3 , pp. 733-747
    • Mawhin, J.1    Ward, J.R.2
  • 27
    • 0036002240 scopus 로고    scopus 로고
    • Guiding-like functions for periodic or bounded solutions of ordinary differential equations
    • Mawhin J. Ward J.R. Guiding-like functions for periodic or bounded solutions of ordinary differential equations Discrete Contin. Dyn. Systems 8 1 2002 39-54
    • (2002) Discrete Contin. Dyn. Systems , vol.8 , Issue.1 , pp. 39-54
    • Mawhin, J.1    Ward, J.R.2
  • 28
    • 0001577613 scopus 로고    scopus 로고
    • An ergodic classification of bidimensional linear systems
    • Novo S. Obaya R. An ergodic classification of bidimensional linear systems J. Dyn. Differential Equations 8 3 1996 373-406
    • (1996) J. Dyn. Differential Equations , vol.8 , Issue.3 , pp. 373-406
    • Novo, S.1    Obaya, R.2
  • 29
    • 54649083564 scopus 로고    scopus 로고
    • Non-tangential limit of the Weyl m-functions for the ergodic Schrödinger equation
    • Núñez C. Obaya R. Non-tangential limit of the Weyl m-functions for the ergodic Schrödinger equation J. Dyn. Differential Equations 10 2 1998 209-257
    • (1998) J. Dyn. Differential Equations , vol.10 , Issue.2 , pp. 209-257
    • Núñez, C.1    Obaya, R.2
  • 30
    • 21344472543 scopus 로고    scopus 로고
    • Resonance and non-resonance in a problem of boundedness
    • Ortega R. Tineo A. Resonance and non-resonance in a problem of boundedness Proc. Amer. Math. Soc. 124 7 1996 2089-2096
    • (1996) Proc. Amer. Math. Soc. , vol.124 , Issue.7 , pp. 2089-2096
    • Ortega, R.1    Tineo, A.2
  • 31
    • 0000928568 scopus 로고    scopus 로고
    • Almost periodicity and stability for solutions to functional differential equations with infinite delay
    • Ruess W.M. Summers W.H. Almost periodicity and stability for solutions to functional differential equations with infinite delay Differential Integral Equations 9 6 1996 1225-1252
    • (1996) Differential Integral Equations , vol.9 , Issue.6 , pp. 1225-1252
    • Ruess, W.M.1    Summers, W.H.2
  • 32
    • 0001624408 scopus 로고
    • Dichotomies and invariant splittings for linear differential systems I
    • Sacker R.J. Sell G.R. Dichotomies and invariant splittings for linear differential systems I J. Differential Equations 15 1974 429-458
    • (1974) J. Differential Equations , vol.15 , pp. 429-458
    • Sacker, R.J.1    Sell, G.R.2
  • 33
    • 49349126301 scopus 로고
    • A spectral theory for linear differential systems
    • Sacker R.J. Sell G.R. A spectral theory for linear differential systems J. Differential Equations 27 1978 320-358
    • (1978) J. Differential Equations , vol.27 , pp. 320-358
    • Sacker, R.J.1    Sell, G.R.2
  • 35
    • 0013080113 scopus 로고    scopus 로고
    • Almost automorphic and almost periodic dynamics in skew-product semiflows
    • Amer. Math. Soc., Providence, RI
    • W. Shen, Y. Yi, Almost automorphic and almost periodic dynamics in skew-product semiflows, Mem. Amer. Math. Soc., Vol. 647, Amer. Math. Soc., Providence, RI, 1998.
    • (1998) Mem. Amer. Math. Soc. , vol.647
    • Shen, W.1    Yi, Y.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.