메뉴 건너뛰기




Volumn 206, Issue 2, 2004, Pages 470-482

Global asymptotic stability for differentiable vector fields of ℝ2

Author keywords

Asymptotic stability; Global injectivity; Planar vector fields

Indexed keywords


EID: 4944242961     PISSN: 00220396     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jde.2004.04.015     Document Type: Article
Times cited : (51)

References (27)
  • 1
    • 4944258230 scopus 로고
    • Remarks on Efimov's Theorem about differential tests of homeomorphism
    • Alexandrov V.A. Remarks on Efimov's Theorem about differential tests of homeomorphism Rev. Roumanie Math. Pures Appl. 36 3-4 1991 101-105
    • (1991) Rev. Roumanie Math. Pures Appl. , vol.36 , Issue.3-4 , pp. 101-105
    • Alexandrov, V.A.1
  • 2
    • 4944237284 scopus 로고
    • The measurable boundaries of an arbitrary function
    • Blumberg H. The measurable boundaries of an arbitrary function Acta Math. 65 1935 263-282
    • (1935) Acta Math. , vol.65 , pp. 263-282
    • Blumberg, H.1
  • 3
    • 0013005611 scopus 로고    scopus 로고
    • Unipotent Jacobian matrices and univalent maps
    • Campbell L.A. Unipotent Jacobian matrices and univalent maps Contemp. Math. 264 2000 157-177
    • (2000) Contemp. Math. , vol.264 , pp. 157-177
    • Campbell, L.A.1
  • 4
    • 0000878662 scopus 로고
    • Finite-to-one open mappings of manifolds
    • Černavskii A.V. Finite-to-one open mappings of manifolds Mat. Sbornik 65 1964 357-369
    • (1964) Mat. Sbornik , vol.65 , pp. 357-369
    • Černavskii, A.V.1
  • 5
    • 0001745888 scopus 로고
    • Addendum to the paper Finite-to-one open mappings of manifolds
    • Černavskii A.V. Addendum to the paper Finite-to-one open mappings of manifolds Mat. Sbornik 66 1965 471-472
    • (1965) Mat. Sbornik , vol.66 , pp. 471-472
    • Černavskii, A.V.1
  • 6
    • 0000763169 scopus 로고    scopus 로고
    • A mountain pass to the Jacobian Conjecture
    • Chamberland M. Meisters G. A mountain pass to the Jacobian Conjecture Canad. Math. Bull. 41 1998 442-451
    • (1998) Canad. Math. Bull. , vol.41 , pp. 442-451
    • Chamberland, M.1    Meisters, G.2
  • 7
    • 0042916420 scopus 로고    scopus 로고
    • Characterizing two-dimensional maps whose Jacobians have constant eigenvalues
    • Chamberland M. Characterizing two-dimensional maps whose Jacobians have constant eigenvalues Canad. Math. Bull. 46 3 2003 323-331
    • (2003) Canad. Math. Bull. , vol.46 , Issue.3 , pp. 323-331
    • Chamberland, M.1
  • 12
    • 0002959292 scopus 로고
    • A proof of the two dimensional Markus-Yamabe stability conjecture and a generalization
    • Fessler R. A proof of the two dimensional Markus-Yamabe stability conjecture and a generalization Ann. Polon. Math. LXII 1995 45-74
    • (1995) Ann. Polon. Math. , vol.62 , pp. 45-74
    • Fessler, R.1
  • 13
    • 0037058009 scopus 로고    scopus 로고
    • Asymptotic smoothing and the global attractor of a weakly damped KdV equation on the real line
    • Goubet O. Rosa R. Asymptotic smoothing and the global attractor of a weakly damped KdV equation on the real line J. Differential Equations 185 2002 25-53
    • (2002) J. Differential Equations , vol.185 , pp. 25-53
    • Goubet, O.1    Rosa, R.2
  • 14
    • 85011615031 scopus 로고
    • A solution to the bidimensional global asymptotic stability conjecture
    • Gutierrez C. A solution to the bidimensional global asymptotic stability conjecture Ann. Inst. H. Poincaré Anal. Non Lineaire 12 1995 627-671
    • (1995) Ann. Inst. H. Poincaré Anal. Non Lineaire , vol.12 , pp. 627-671
    • Gutierrez, C.1
  • 15
    • 84966212782 scopus 로고
    • A theorem of Denjoy, Young and Saks
    • Hanson E.H. A theorem of Denjoy, Young and Saks Bull. Amer. Math. Soc. 40 1934 691-694
    • (1934) Bull. Amer. Math. Soc. , vol.40 , pp. 691-694
    • Hanson, E.H.1
  • 16
    • 51249193789 scopus 로고
    • Zur Theorie der Systeme gewöhnlicher Differentialgleichungen II
    • Kamke E. Zur Theorie der Systeme gewöhnlicher Differentialgleichungen II Acta Math. 58 1932 57-85
    • (1932) Acta Math. , vol.58 , pp. 57-85
    • Kamke, E.1
  • 17
    • 84972583909 scopus 로고
    • Global stability criteria for differential systems
    • Markus L. Yamabe H. Global stability criteria for differential systems Osaka Math. J. 12 1960 305-317
    • (1960) Osaka Math. J. , vol.12 , pp. 305-317
    • Markus, L.1    Yamabe, H.2
  • 18
    • 0000897491 scopus 로고
    • On the global stability of an autonomous system on the plane
    • Olech C. On the global stability of an autonomous system on the plane Cont. Differential Equations 1 1963 389-400
    • (1963) Cont. Differential Equations , vol.1 , pp. 389-400
    • Olech, C.1
  • 19
    • 84976001156 scopus 로고
    • The multidimensional fundamental theorem of calculus
    • Pfeffer W.F. The multidimensional fundamental theorem of calculus J. Austral. Math. Soc. (Ser. A) 43 1987 143-170
    • (1987) J. Austral. Math. Soc. (Ser. A) , vol.43 , pp. 143-170
    • Pfeffer, W.F.1
  • 20
    • 51249170195 scopus 로고
    • A counterexample to the strong Jacobian conjecture
    • Pinchuck S. A counterexample to the strong Jacobian conjecture Math. Z. 217 1994 1-4
    • (1994) Math. Z. , vol.217 , pp. 1-4
    • Pinchuck, S.1
  • 21
  • 22
    • 38249022585 scopus 로고
    • Local inversion theorems without assuming continuous differentiability
    • Radulescue S. Radulescu M. Local inversion theorems without assuming continuous differentiability J. Math. Anal. Appl. 138 2 1989 581-590
    • (1989) J. Math. Anal. Appl. , vol.138 , Issue.2 , pp. 581-590
    • Radulescue, S.1    Radulescu, M.2
  • 23
    • 0141771164 scopus 로고
    • Sur les nombres dérivés des fonctions
    • Saks S. Sur les nombres dérivés des fonctions Fundamenta Math. 5 1924 98-104
    • (1924) Fundamenta Math. , vol.5 , pp. 98-104
    • Saks, S.1
  • 24
    • 0346945427 scopus 로고
    • On the fundamental theory of ordinary differential equations
    • Sell A.G. On the fundamental theory of ordinary differential equations J. Differential Equations 1 1965 370-392
    • (1965) J. Differential Equations , vol.1 , pp. 370-392
    • Sell, A.G.1
  • 25
    • 0030595242 scopus 로고    scopus 로고
    • Injectivity of local diffeomorphisms from nearly spectral conditions
    • Smyth B. Xavier F. Injectivity of local diffeomorphisms from nearly spectral conditions J. Differential Equations 130 1996 406-414
    • (1996) J. Differential Equations , vol.130 , pp. 406-414
    • Smyth, B.1    Xavier, F.2
  • 27
    • 0037455394 scopus 로고    scopus 로고
    • Global attractivity in monotone and subhomogeneous almost periodic systems
    • Zhao Xiao-Qiang Global attractivity in monotone and subhomogeneous almost periodic systems J. Differential Equations 187 2003 494-509
    • (2003) J. Differential Equations , vol.187 , pp. 494-509
    • Zhao, X.-Q.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.