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Volumn 3, Issue 4, 1997, Pages 449-469

On Morse theory for piecewise smooth functions

Author keywords

Continuous selection; Critical point; Nonsmooth Morse theory

Indexed keywords

PIECEWISE LINEAR TECHNIQUES; SET THEORY;

EID: 0031246537     PISSN: 10792724     EISSN: None     Source Type: Journal    
DOI: 10.1007/bf02463278     Document Type: Article
Times cited : (34)

References (15)
  • 2
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    • Continuous selections of linear functions and nonsmooth critical point theory
    • S. G. Bartels, L. Kuntz, and S. Scholtes, Continuous selections of linear functions and nonsmooth critical point theory. Nonlinear Anal., Theory, Meth. and Appl. 24 (1995), 385-407.
    • (1995) Nonlinear Anal., Theory, Meth. and Appl. , vol.24 , pp. 385-407
    • Bartels, S.G.1    Kuntz, L.2    Scholtes, S.3
  • 3
    • 0004252784 scopus 로고
    • Springer Verlag, Berlin, Heidelberg, New York
    • G. E. Bredon, Topology and geometry. Springer Verlag, Berlin, Heidelberg, New York, 1993.
    • (1993) Topology and Geometry
    • Bredon, G.E.1
  • 4
    • 0025399892 scopus 로고
    • Fixed-point theorems and Morse's lemma for Lipschitzian functions
    • J. M. Bonnisseau and B. Cornet, Fixed-point theorems and Morse's lemma for Lipschitzian functions. J. Math. Anal. Appl. 146 (1990), 318-332.
    • (1990) J. Math. Anal. Appl. , vol.146 , pp. 318-332
    • Bonnisseau, J.M.1    Cornet, B.2
  • 5
    • 34250093403 scopus 로고
    • 2-functions in finite dimension
    • 2-functions in finite dimension. Math. Prog. 41 (1988), 141-159.
    • (1988) Math. Prog. , vol.41 , pp. 141-159
    • Bougeard, M.L.1
  • 8
    • 0004177563 scopus 로고
    • Wayne State Univ. Press, Detroit
    • Sze-Tsen Hu, Theory of retracts. Wayne State Univ. Press, Detroit, 1965.
    • (1965) Theory of Retracts
    • Hu, S.-T.1
  • 11
    • 0000726967 scopus 로고
    • On linearization and continuous selections of functions
    • H. Th. Jongen and D. Pallaschke, On linearization and continuous selections of functions. Optimiz. 19 (1988), No. 3, 343-353.
    • (1988) Optimiz. , vol.19 , Issue.3 , pp. 343-353
    • Jongen, H.Th.1    Pallaschke, D.2
  • 12
    • 0001052789 scopus 로고
    • Qualitative aspects of the local approximation of a piecewise smooth function
    • L. Kuntz and S. Scholtes, Qualitative aspects of the local approximation of a piecewise smooth function. Nonlinear Anal. Theory, Meth. and Appl. 25 (1995) 197-215.
    • (1995) Nonlinear Anal. Theory, Meth. and Appl. , vol.25 , pp. 197-215
    • Kuntz, L.1    Scholtes, S.2
  • 13
    • 0004190360 scopus 로고
    • Princeton Univ. Press, Princeton, New Jersey
    • J. Milnor, Morse theory. Princeton Univ. Press, Princeton, New Jersey, 1963.
    • (1963) Morse Theory
    • Milnor, J.1
  • 14
    • 0003775639 scopus 로고
    • Preprint No. 54/1994, Institut für Statistik und Mathematische Wirtschaftstheorie, Univ. Karlsruhe. Karlsruhe
    • S. Scholtes, Introduction to piecewise differentiable equations. Preprint No. 54/1994, Institut für Statistik und Mathematische Wirtschaftstheorie, Univ. Karlsruhe. Karlsruhe, 1994.
    • (1994) Introduction to Piecewise Differentiable Equations
    • Scholtes, S.1
  • 15
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    • McGraw-Hill Book Company, New York, etc.
    • E. H. Spanier, Algebraic topology. McGraw-Hill Book Company, New York, etc., 1966.
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    • Spanier, E.H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.