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Volumn 314, Issue 2, 2006, Pages 436-454

Exponential dichotomy roughness on Banach spaces

Author keywords

Banach space; Exponential dichotomy; Linear differential equation; Perturbed equation; Roughness

Indexed keywords


EID: 29144503354     PISSN: 0022247X     EISSN: 10960813     Source Type: Journal    
DOI: 10.1016/j.jmaa.2005.04.011     Document Type: Article
Times cited : (74)

References (16)
  • 2
    • 0002709196 scopus 로고
    • Dichotomies in Stability Theory
    • Springer
    • W.A. Coppel Dichotomies in Stability Theory Lecture Notes in Math. vol. 629 1978 Springer
    • (1978) Lecture Notes in Math. , vol.629
    • Coppel, W.A.1
  • 3
    • 0003428992 scopus 로고
    • Stability of Solutions of Differential Equations in Banach Space
    • Providence, RI: Amer. Math. Soc
    • Ju.L. Daleckii M.G. Krein Stability of Solutions of Differential Equations in Banach Space 1974 Amer. Math. Soc. Providence, RI
    • (1974)
    • Daleckii, Ju.L.1    Krein, M.G.2
  • 4
    • 34548207686 scopus 로고
    • Exponential trichotomy of differential systems
    • S. Elaydi O. Hajek Exponential trichotomy of differential systems J. Math. Anal. Appl. 129 1988 362-374
    • (1988) J. Math. Anal. Appl. , vol.129 , pp. 362-374
    • Elaydi, S.1    Hajek, O.2
  • 5
    • 0012333405 scopus 로고
    • Exponential trichotomies and Fredholm operators
    • J. Hong Exponential trichotomies and Fredholm operators Ann. Differential Equations 9 1993 37-43
    • (1993) Ann. Differential Equations , vol.9 , pp. 37-43
    • Hong, J.1
  • 6
    • 0041710288 scopus 로고    scopus 로고
    • On roughness of exponential dichotomy
    • N. Ju S. Wiggins On roughness of exponential dichotomy J. Math. Anal. Appl. 262 2001 39-49
    • (2001) J. Math. Anal. Appl. , vol.262 , pp. 39-49
    • Ju, N.1    Wiggins, S.2
  • 7
    • 29144533728 scopus 로고
    • Lyapunov functions and dichotomy of linear differential equation
    • A.N. Kulik V.L. Kulik Lyapunov functions and dichotomy of linear differential equation Differ. Uravn. 20 1984 233-241
    • (1984) Differ. Uravn. , vol.20 , pp. 233-241
    • Kulik, A.N.1    Kulik, V.L.2
  • 8
    • 0032011139 scopus 로고    scopus 로고
    • Admissible perturbations of exponential dichotomy roughness
    • R. Naulin M. Pinto Admissible perturbations of exponential dichotomy roughness Nonlinear Anal. 31 1998 559-571
    • (1998) Nonlinear Anal. , vol.31 , pp. 559-571
    • Naulin, R.1    Pinto, M.2
  • 9
    • 38249003100 scopus 로고
    • Examples and bounds in the general case of exponential dichotomy roughness
    • D.G. Olbert Examples and bounds in the general case of exponential dichotomy roughness J. Math. Anal. Appl. 174 1993 231-241
    • (1993) J. Math. Anal. Appl. , vol.174 , pp. 231-241
    • Olbert, D.G.1
  • 10
    • 48549112859 scopus 로고
    • Exponential dichotomies and transversal homoclinic points
    • K.J. Palmer Exponential dichotomies and transversal homoclinic points J. Differential Equations 55 1984 225-256
    • (1984) J. Differential Equations , vol.55 , pp. 225-256
    • Palmer, K.J.1
  • 11
    • 84968484465 scopus 로고
    • Exponential dichotomies and Fredholm operators
    • K.J. Palmer Exponential dichotomies and Fredholm operators Proc. Amer. Math. Soc. 41 1988
    • (1988) Proc. Amer. Math. Soc. , vol.41
    • Palmer, K.J.1
  • 12
    • 3042691186 scopus 로고    scopus 로고
    • A topological classification of linear differential equations on a Banach spaces
    • L.H. Popescu A topological classification of linear differential equations on a Banach spaces J. Differential Equations 203 2004 28-37
    • (2004) J. Differential Equations , vol.203 , pp. 28-37
    • Popescu, L.H.1
  • 13
    • 29144448985 scopus 로고    scopus 로고
    • Topological classification of certain types of trichotomic equations on a Banach space
    • submitted for publication
    • L.H. Popescu, Topological classification of certain types of trichotomic equations on a Banach space, J. Differential Equations, submitted for publication
    • J. Differential Equations
    • Popescu, L.H.1
  • 14
    • 38249030643 scopus 로고
    • Exact bounds for exponential dichotomy roughness. I. Strong dichotomy
    • R.E. Vingrad Exact bounds for exponential dichotomy roughness. I. Strong dichotomy J. Differential Equations 71 1988 63-71
    • (1988) J. Differential Equations , vol.71 , pp. 63-71
    • Vingrad, R.E.1
  • 15
    • 0009402136 scopus 로고
    • Exact bounds for exponential dichotomy roughness. II. An example of attainability
    • R.E. Vingrad Exact bounds for exponential dichotomy roughness. II. An example of attainability J. Differential Equations 90 1991 203-210
    • (1991) J. Differential Equations , vol.90 , pp. 203-210
    • Vingrad, R.E.1
  • 16
    • 0009392064 scopus 로고
    • Exact bounds for exponential dichotomy roughness. III. Semistrong dichotomy
    • R.E. Vingrad Exact bounds for exponential dichotomy roughness. III. Semistrong dichotomy J. Differential Equations 91 1991 245-267
    • (1991) J. Differential Equations , vol.91 , pp. 245-267
    • Vingrad, R.E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.