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Volumn 12, Issue 1, 2000, Pages 229-245

A new approach to asymptotic diagonalization of linear differential systems

Author keywords

Asymptotic diagonalization; Linear systems; Spectral theory

Indexed keywords


EID: 0001463040     PISSN: 10407294     EISSN: 15729222     Source Type: Journal    
DOI: 10.1023/A:1009054904419     Document Type: Article
Times cited : (12)

References (17)
  • 1
    • 0012227433 scopus 로고
    • On the reduction of a system of linear equations to diagonal form, English translation
    • Bylov, B. F. (1970). On the reduction of a system of linear equations to diagonal form, English translation. Amer. Math. Soc. Transl. 89, No. 2, 51-59.
    • (1970) Amer. Math. Soc. Transl. , vol.89 , Issue.2 , pp. 51-59
    • Bylov, B.F.1
  • 3
    • 0000807705 scopus 로고
    • Dichotomies and reducibility
    • Coppel, W. A. (1967). Dichotomies and reducibility. J. Diff. Eq. 3, 500-521.
    • (1967) J. Diff. Eq. , vol.3 , pp. 500-521
    • Coppel, W.A.1
  • 4
    • 0003805267 scopus 로고
    • Lecture Notes in Mathematics, No. 629, Springer-Verlag, Berlin
    • Coppel, W. A. (1978). Dichotomies in Stability Theory, Lecture Notes in Mathematics, No. 629, Springer-Verlag, Berlin.
    • (1978) Dichotomies in Stability Theory
    • Coppel, W.A.1
  • 6
    • 3042980156 scopus 로고    scopus 로고
    • On asymptotic diagonalization of linear ordinary differential equations
    • Hsieh, P. F., Xie, F. (1998). On asymptotic diagonalization of linear ordinary differential equations. Dynam. Contin. Discrete Impuls. Systems 4, 351-377.
    • (1998) Dynam. Contin. Discrete Impuls. Systems , vol.4 , pp. 351-377
    • Hsieh, P.F.1    Xie, F.2
  • 7
    • 0002148022 scopus 로고
    • Asymptotic integrations of linear differential equations
    • Hartman, P., and Wintner, A. (1955). Asymptotic integrations of linear differential equations. Amer. J. Math. 11, 45-86 and 932.
    • (1955) Amer. J. Math. , vol.11 , pp. 45-86
    • Hartman, P.1    Wintner, A.2
  • 8
    • 0000688206 scopus 로고
    • Smoothness of spectral subbundles and reducibility of quasi-periodic linear differential systems
    • Johnson, R. A., and Sell, G. R. (1981). Smoothness of spectral subbundles and reducibility of quasi-periodic linear differential systems. J. Diff. Eq. 41, 262-288.
    • (1981) J. Diff. Eq. , vol.41 , pp. 262-288
    • Johnson, R.A.1    Sell, G.R.2
  • 9
    • 84972530643 scopus 로고
    • The asymptotic nature of solutions of linear differential equations
    • Levinson, N. (1948). The asymptotic nature of solutions of linear differential equations. Duke Math. J. 15, 111-126.
    • (1948) Duke Math. J. , vol.15 , pp. 111-126
    • Levinson, N.1
  • 11
    • 0001048588 scopus 로고
    • Exponential dichotomy, integral separation and diagonalizability of linear systems of ordinary differential equations
    • Palmer, K. J. (1982). Exponential dichotomy, integral separation and diagonalizability of linear systems of ordinary differential equations. J. Diff. Eq. 43, 184-203.
    • (1982) J. Diff. Eq. , vol.43 , pp. 184-203
    • Palmer, K.J.1
  • 12
    • 0001624408 scopus 로고
    • Existence of dichotomies and invariant splittings for linear differential systems, I
    • Sacker, R. J., and Sell, G. R. (1974). Existence of dichotomies and invariant splittings for linear differential systems, I. J. Diff Eq. 15, 429-458.
    • (1974) J. Diff Eq. , vol.15 , pp. 429-458
    • Sacker, R.J.1    Sell, G.R.2
  • 13
    • 0001230297 scopus 로고
    • Existence of dichotomies and invariant splittings for linear differential systems, II
    • Sacker, R. J., and Sell, G. R. (1976). Existence of dichotomies and invariant splittings for linear differential systems, II. J. Diff Eq. 22, 478-496.
    • (1976) J. Diff Eq. , vol.22 , pp. 478-496
    • Sacker, R.J.1    Sell, G.R.2
  • 14
    • 49349126301 scopus 로고
    • A spectral theory for linear differential systems
    • Sacker, R. J., and Sell, G. R. (1978). A spectral theory for linear differential systems. J. Diff. Eq. 27, 320-358.
    • (1978) J. Diff. Eq. , vol.27 , pp. 320-358
    • Sacker, R.J.1    Sell, G.R.2
  • 15
    • 1242274155 scopus 로고
    • The splitting index for linear differential systems
    • Sacker, R. J. (1979). The splitting index for linear differential systems. J. Diff. Eq. 33, 368-405.
    • (1979) J. Diff. Eq. , vol.33 , pp. 368-405
    • Sacker, R.J.1
  • 16
    • 0012338077 scopus 로고
    • Compact sets of nonlinear operators
    • Sell, G. R. (1968). Compact sets of nonlinear operators. Funkcial. Ekvac. 11, 131-138.
    • (1968) Funkcial. Ekvac. , vol.11 , pp. 131-138
    • Sell, G.R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.