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Smoothing derivatives of functions and applications
Author:
F. Wesley Wilson
Journal:
Trans. Amer. Math. Soc. 139 (1969), 413-428
MSC:
Primary 57.50
MathSciNet review:
0251747
Full-text PDF Free Access
References |
Similar Articles |
Additional Information
- [1]
Morris
W. Hirsch, On combinatorial submanifolds of differentiable
manifolds, Comment. Math. Helv. 36 (1961),
103–111. MR 0133833
(24 #A3658)
- [2]
L. Hörmander, Linear partial differential operators, Academic Press, New York, 1963.
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J. Kurzweil, On the inversion of Lyapunov's second theorem on stability of motion, Czechoslovak Math. J. 81 (1956), 217-259, 455-484; English transl., Amer. Math. Soc. Transl. (2) 24 (1963), 19-77.
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Solomon
Lefschetz, Differential equations: Geometric theory, Second
edition. Pure and Applied Mathematics, Vol. VI, Interscience Publishers, a
division of John Wiley & Sons, New York-Lond on, 1963. MR 0153903
(27 #3864)
- [5]
José
L. Massera, On the existence of Lyapunov functions, Fac.
Ingen. Montevideo Publ. Inst. Mat. Estadíst 3
(1959/1960), 111–124. MR 0144027
(26 #1575)
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José
L. Massera, Contributions to stability theory, Ann. of Math.
(2) 64 (1956), 182–206. MR 0079179
(18,42d)
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V.
V. Nemytskii and V.
V. Stepanov, Qualitative theory of differential equations,
Princeton Mathematical Series, No. 22, Princeton University Press,
Princeton, N.J., 1960. MR 0121520
(22 #12258)
- [8]
Hans
Rademacher, Über partielle und totale differenzierbarkeit von
Funktionen mehrerer Variabeln und über die Transformation der
Doppelintegrale, Math. Ann. 79 (1919), no. 4,
340–359 (German). MR
1511935, http://dx.doi.org/10.1007/BF01498415
- [9]
Stephen
Smale, On gradient dynamical systems, Ann. of Math. (2)
74 (1961), 199–206. MR 0133139
(24 #A2973)
- [10]
F.
Wesley Wilson Jr., Implicit submanifolds, J. Math. Mech.
18 (1968/1969), 229–236. MR 0229252
(37 #4826)
- [1]
- M. W. Hirsch, On combinatorial submanifolds of differentiable manifolds, Comment Math. Helv. 36 (1962), 103-111. MR 0133833 (24:A3658)
- [2]
- L. Hörmander, Linear partial differential operators, Academic Press, New York, 1963.
- [3]
- J. Kurzweil, On the inversion of Lyapunov's second theorem on stability of motion, Czechoslovak Math. J. 81 (1956), 217-259, 455-484; English transl., Amer. Math. Soc. Transl. (2) 24 (1963), 19-77.
- [4]
- S. Lefschetz, Differential equations: Geometric theory, Interscience, New York, 1957. MR 0153903 (27:3864)
- [5]
- J. Massera, On the existence of Lyapunov functions, Fac. Ingen. Agrimens. Montevideo Publ. Didact. Inst. Mat. Estadíst. 3 (1960), 111-124. MR 0144027 (26:1575)
- [6]
- -, Contributions to stability theory, Ann. of Math. 64 (1956), 182-206. MR 0079179 (18:42d)
- [7]
- V. V. Nemytskii and V. V. Stepanov, Qualitative theory of differential equations, Princeton Univ. Press, Princeton, N. J., 1960. MR 0121520 (22:12258)
- [8]
- H. Rademacher, Über partielle und totale Differenzierbarkeit von Functionen mehrerer Variabeln, und über die Transformation der Doppelintegrale, Math. Ann. 79 (1918), 340-359. MR 1511935
- [9]
- S. Smale, On gradient dynamical systems, Ann. of Math. 74 (1961), 199-206. MR 0133139 (24:A2973)
- [10]
- F. W. Wilson, Implicit submanifolds, J. Math. Mech. 17 (1968), 229-236. MR 0229252 (37:4826)
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Additional Information
DOI:
http://dx.doi.org/10.1090/S0002-9947-1969-0251747-9
PII:
S 0002-9947(1969)0251747-9
Article copyright:
© Copyright 1969 American Mathematical Society
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