×

zbMATH — the first resource for mathematics

Smoothing derivatives of functions and applications. (English) Zbl 0175.20203

Keywords:
topology
PDF BibTeX XML Cite
Full Text: DOI
References:
[1] Morris W. Hirsch, On combinatorial submanifolds of differentiable manifolds, Comment. Math. Helv. 36 (1961), 103 – 111. · Zbl 0101.16101
[2] L. Hörmander, Linear partial differential operators, Academic Press, New York, 1963. · Zbl 0108.09301
[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. · Zbl 0127.30702
[4] 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. · Zbl 0080.06401
[5] José L. Massera, On the existence of Lyapunov functions, Fac. Ingen. Montevideo Publ. Inst. Mat. Estadíst 3 (1959/1960), 111 – 124.
[6] José L. Massera, Contributions to stability theory, Ann. of Math. (2) 64 (1956), 182 – 206. · Zbl 0070.31003
[7] V. V. Nemytskii and V. V. Stepanov, Qualitative theory of differential equations, Princeton Mathematical Series, No. 22, Princeton University Press, Princeton, N.J., 1960. · Zbl 0089.29502
[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). · JFM 47.0243.01
[9] Stephen Smale, On gradient dynamical systems, Ann. of Math. (2) 74 (1961), 199 – 206. · Zbl 0136.43702
[10] F. Wesley Wilson Jr., Implicit submanifolds, J. Math. Mech. 18 (1968/1969), 229 – 236. · Zbl 0172.25505
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.