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Volumn 40, Issue 1-8, 2000, Pages 91-104

The Hartman-Grobman theorem for Carathéodory-type differential equations in Banach spaces

Author keywords

Carath odory type equations; Hartman Grobman theorem; Integral manifolds; Measurable time dependence; Topological equivalence

Indexed keywords

EQUIVALENCE CLASSES; INTEGRAL EQUATIONS; LINEAR EQUATIONS; SET THEORY; THEOREM PROVING;

EID: 0034172371     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(00)85006-3     Document Type: Article
Times cited : (41)

References (17)
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    • Integral manifolds for Carathéodory type differential equations in Banach spaces
    • B. Aulbach, F. Colonius (Eds.), World Scientific, Singapore
    • B. Aulbach, T. Wanner, Integral manifolds for Carathéodory type differential equations in Banach spaces, in: B. Aulbach, F. Colonius (Eds.), Six Lectures on Dynamical Systems, World Scientific, Singapore, 1996, pp. 45-119.
    • (1996) Six Lectures on Dynamical Systems , pp. 45-119
    • Aulbach, B.1    Wanner, T.2
  • 5
    • 0001038494 scopus 로고    scopus 로고
    • Invariant foliations for Carathéodory type differential equations in Banach spaces
    • V. Lakshmikantham, A.A. Martynyuk (Eds.), Gordon and Breach, Philadelphia, to appear
    • B. Aulbach, T. Wanner, Invariant foliations for Carathéodory type differential equations in Banach spaces, in: V. Lakshmikantham, A.A. Martynyuk (Eds.), Advances in Stability Theory at the End of XX Century, Gordon and Breach, Philadelphia, to appear.
    • Advances in Stability Theory at the End of XX Century
    • Aulbach, B.1    Wanner, T.2
  • 7
    • 0001463792 scopus 로고
    • Homeomorphisms of systems of differential equations
    • D.M. Grobman, Homeomorphisms of systems of differential equations, Dok. Akad. Nauk SSSR 128 (1959) 880.
    • (1959) Dok. Akad. Nauk SSSR , vol.128 , pp. 880
    • Grobman, D.M.1
  • 8
    • 0002633958 scopus 로고
    • The topological classification of the vicinity of a singular point in n-dimensional space
    • D.M. Grobman, The topological classification of the vicinity of a singular point in n-dimensional space, Math. USSR-Sb. 56 (1962) 77-94.
    • (1962) Math. USSR-Sb. , vol.56 , pp. 77-94
    • Grobman, D.M.1
  • 9
    • 84968509239 scopus 로고
    • A lemma in the theory of structural stability of differential equations
    • P. Hartman, A lemma in the theory of structural stability of differential equations, Proceedings of the American Mathematical Society, Vol. 11, 1960, pp. 610-620.
    • (1960) Proceedings of the American Mathematical Society , vol.11 , pp. 610-620
    • Hartman, P.1
  • 10
  • 14
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    • A generalization of Hartman's linearization theorem
    • K.J. Palmer, A generalization of Hartman's linearization theorem, J. Math. Anal. Appl. 41 (1973) 753-758.
    • (1973) J. Math. Anal. Appl. , vol.41 , pp. 753-758
    • Palmer, K.J.1
  • 15
    • 0016535198 scopus 로고
    • Linearization near an integral manifold
    • K.J. Palmer, Linearization near an integral manifold, J. Math. Anal. Appl. 51 (1975) 243-255.
    • (1975) J. Math. Anal. Appl. , vol.51 , pp. 243-255
    • Palmer, K.J.1
  • 17
    • 0000841784 scopus 로고
    • Bifurcations of topological type of a vector field near a singular point
    • in Russian
    • A.N. Šošitaǐšvili, Bifurcations of topological type of a vector field near a singular point, Trudy Sem. I.G. Petrovskogo 1 (1975) 279-309 (in Russian).
    • (1975) Trudy Sem. I.G. Petrovskogo , vol.1 , pp. 279-309
    • Šošitaǐšvili, A.N.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.