메뉴 건너뛰기




Volumn 124, Issue 4, 1996, Pages 1071-1081

Two definitions of exponential dichotomy for skew-product semiflow in banach spaces

Author keywords

Exponential dichotomy; Skew product semiflow; Stable and unstable manifolds

Indexed keywords


EID: 21344451340     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0002-9939-96-03433-8     Document Type: Article
Times cited : (60)

References (17)
  • 1
    • 0003368767 scopus 로고
    • Dynamical spectrum for time dependent linear systems in banach spaces
    • MR 95i:34106
    • S. N. Chow and H. Leiva, Dynamical spectrum for time dependent linear systems in banach spaces, Japan J. Indust. Appl. Math. 11 (1994), 379-415. MR 95i:34106
    • (1994) Japan J. Indust. Appl. Math. , vol.11 , pp. 379-415
    • Chow, S.N.1    Leiva, H.2
  • 2
    • 0041985355 scopus 로고
    • Dynamical spectrum for skew-product flow in banach spaces
    • Boundary Problems for Functional Differential Equations, Singapore
    • S. N. Chow and H. Leiva, Dynamical spectrum for skew-product flow in banach spaces, Boundary Problems for Functional Differential Equations, World Sci. Publ., Singapore, 1995, pp 85-105.
    • (1995) World Sci. Publ. , pp. 85-105
    • Chow, S.N.1    Leiva, H.2
  • 3
    • 0000156941 scopus 로고
    • Existence and roughness of the exponential dichotomy for skew-product semiflow in banach spaces, 3
    • CMP 95:17
    • S. N. Chow and H. Leiva, Existence and roughness of the exponential dichotomy for skew-product semiflow in banach spaces, 3. Differential Equations 120 (1995), 429-477. CMP 95:17
    • (1995) Differential Equations , vol.120 , pp. 429-477
    • Chow, S.N.1    Leiva, H.2
  • 4
    • 0002709196 scopus 로고
    • Dichotomies in stability theory
    • Springer-Verlag, New York, MR 58:1332
    • W. A. Coppel, Dichotomies in stability theory, Lect. Notes in Math, vol. 629, Springer-Verlag, New York, 1978. MR 58:1332
    • (1978) Lect. Notes in Math , vol.629
    • Coppel, W.A.1
  • 5
    • 0003254098 scopus 로고
    • Stability of solutions of differential equations in Banach space
    • Amer. Math. Soc., Providence, RI, MR 50:5126
    • J. L. Daleckii and M. G. Krein, Stability of solutions of differential equations in Banach space, Transi. Math. Monographs, vol. 43, Amer. Math. Soc., Providence, RI, 1974. MR 50:5126
    • (1974) Transi. Math. Monographs , vol.43
    • Daleckii, J.L.1    Krein, M.G.2
  • 6
    • 0003293929 scopus 로고
    • Asymptotic behavior of dissipative systems
    • Amer. Soc., Providence, R.I., MR 89g:58059
    • J. K. Hale, Asymptotic behavior of dissipative systems, Math. Surveys and Monographs, vol. 25, Amer. Soc., Providence, R.I., 1988. MR 89g:58059
    • (1988) Math. Surveys and Monographs , vol.25
    • Hale, J.K.1
  • 8
    • 0002458174 scopus 로고
    • The asymptotic behavior of system of linear differential equations
    • MR 7:381f
    • N. Levinson, The asymptotic behavior of system of linear differential equations, Amer. J. Math. vol. 68, pp. 1-6, 1946. MR 7:381f
    • (1946) Amer. J. Math. , vol.68 , pp. 1-6
    • Levinson, N.1
  • 9
    • 38249039032 scopus 로고
    • Exponential dichotomies and homoclinic orbits in functional-differential equations
    • MR 87j:34138
    • X. B. Lin , Exponential dichotomies and homoclinic orbits in functional-differential equations, J. Differential Equations 63 (1986), 227-254. MR 87j:34138
    • (1986) J. Differential Equations , vol.63 , pp. 227-254
    • Lin, X.B.1
  • 10
    • 38149146559 scopus 로고
    • Exponential dichotomies in intermediate spaces with applications to a diffusively perturbed predator-prey model
    • MR 95c:35139
    • X. B. Lin, Exponential dichotomies in intermediate spaces with applications to a diffusively perturbed predator-prey model, J. Differential Equations 108 (1994), 36-63. MR 95c:35139
    • (1994) J. Differential Equations , vol.108 , pp. 36-63
    • Lin, X.B.1
  • 11
    • 33645910413 scopus 로고
    • The spectrum of invariant sets for dissipative semiflows
    • Dynamics Of Infinite Dimensional Systems, Springer Verlag, New York, CMP 20:06
    • L. T. Magalhàes, The spectrum of invariant sets for dissipative semiflows, in Dynamics Of Infinite Dimensional Systems, NATO Adv. Sci. Inst. Ser. F: Comput. Systems Sci., vol. 37, Springer Verlag, New York, 1987, pp. 161-168. CMP 20:06
    • (1987) NATO Adv. Sci. Inst. Ser. F: Comput. Systems Sci. , vol.37 , pp. 161-168
    • Magalhàes, L.T.1
  • 13
    • 48549112859 scopus 로고
    • Exponential dichotomies and transversal homoclinic points
    • MR 86d:58088
    • K. J. Palmer, Exponential dichotomies and transversal homoclinic points, J. Differential Equations, vol. 55, pp. 225-256, 1984. MR 86d:58088
    • (1984) J. Differential Equations , vol.55 , pp. 225-256
    • Palmer, K.J.1
  • 14
    • 7944237817 scopus 로고
    • Die stabilitátsfrage bei differentialgleichungen
    • O. Perron, Die stabilitátsfrage bei differentialgleichungen, Math. Z vol. 32, pp. 703-728, 1930.
    • (1930) Math. Z , vol.32 , pp. 703-728
    • Perron, O.1
  • 15
    • 0001624408 scopus 로고
    • Existence of dichotomies and invariant splitting for linear differential systems I, II, III
    • R. J. Sacker and G. R. Sell, Existence of dichotomies and invariant splitting for linear differential systems I, II, III J. Differential Equations. 15 (1974), 429-458,
    • (1974) J. Differential Equations , vol.15 , pp. 429-458
    • Sacker, R.J.1    Sell, G.R.2
  • 16
  • 17
    • 0002394599 scopus 로고
    • Dichotomies for linear evolutionary equations in Banach spaces
    • CMP 95:01
    • R. J. Sacker and G. R. Sell, Dichotomies for linear evolutionary equations in Banach spaces, J. Differential Equations 113 (1994), 17-67. CMP 95:01
    • (1994) J. Differential Equations , vol.113 , pp. 17-67
    • Sacker, R.J.1    Sell, G.R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.