The Implicit Function Theorem in the Neighborhood of an Abnormal Point
Author:
Publisher
Allerton Press
Subject
Computational Mathematics,Control and Optimization,Human-Computer Interaction
Link
https://link.springer.com/content/pdf/10.3103/S0278641923030020.pdf
Reference8 articles.
1. R. G. Bartle and L. M. Graves, ‘‘Mappings between function spaces,’’ Trans. Am. Math. Soc. 72, 400–413 (1952). https://doi.org/10.2307/1990709
2. A. L. Dontchev and R. T. Rockafellar, Implicit Functions and Solution Mappings: A View from Variational Analysis, 2nd ed. (Springer, New York, 2014).
3. V. M. Alekseev, V. M. Tikhomirov, and S. V. Fomin, Optimal Control (Nauka, Moscow, 1979; Consultants Bureau, New York, 1987).
4. A. V. Arutyunov, ‘‘Smooth abnormal problems in extremum theory and analysis,’’ Russ. Math. Surv. 67 (3), 403–458 (2012). https://doi.org/10.1070/RM2012v067n03ABEH004793
5. A. V. Arutyunov and K. I. Salikhova, ‘‘Implicit function theorem in a neighborhood of an abnormal point,’’ Proc. Steklov Inst. Math. 315, 19–26 (2021). https://doi.org/10.1134/S0081543821050035
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