Found 47 Documents (Results 1–47)
Calculus of variations in the large: birth, formation, applications. (Russian. English summary) Zbl 1539.49001
Brief history of optimal control theory and some recent developments. (English) Zbl 1419.49001
Budzban, Gregory (ed.) et al., Probability on algebraic and geometric structures. International research conference in honor of Philip Feinsilver, Salah-Eldin A. Mohammed, and Arunava Mukherjea, Southern Illinois University, Carbondale, IL, USA, June 5–7, 2014. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 668, 119-130 (2016).
Survey of the theory of extremal problems. (English) Zbl 1391.49002
Kusuoka, Shigeo (ed.) et al., Advances in mathematical economics. Vol. 20. Selected papers based on the presentations at the 6th conference on mathematical analysis in economic theory, Tokyo, Japan, January 26–29, 2015. Singapore: Springer (ISBN 978-981-10-0475-9/hbk; 978-981-10-0476-6/ebook). Advances in Mathematical Economics 20, 131-150 (2016).
Reviewer: Alfred Göpfert (Leipzig)
The interior-point revolution in mathematical programming and its place in applied mathematics. (English) Zbl 1344.90002
Kumar Sinha, Arun (ed.) et al., Recent advances in mathematics, statistics and computer science. Proceedings of the international conference, ICRAMSCS, Bihar, India, May 29–31, 2015. Hackensack, NJ: World Scientific (ISBN 978-981-4696-16-6/hbk; 978-981-4704-84-7/ebook). 290-302 (2016).
L.S. Pontryagin’s studies on optimal processes and differential games. (English. Russian original) Zbl 1339.49002
Proc. Steklov Inst. Math. 291, 1-3 (2015); translation from Tr. Mat. Inst. Steklova 291, 7-9 (2015).
On Grioli’s minimum property and its relation to Cauchy’s polar decomposition. (English) Zbl 1423.74041
Constrained optimization: from Lagrangian mechanics to optimal control and PDE constraints. (English) Zbl 1320.49003
Hoppe, Ronald (ed.), Optimization with PDE constraints. ESF networking program ‘OPTPDE’. Cham: Springer (ISBN 978-3-319-08024-6/hbk; 978-3-319-08025-3/ebook). Lecture Notes in Computational Science and Engineering 101, 151-202 (2014).
Bernoulli’s light ray solution of the brachistochrone problem through Hamilton’s eyes. (English) Zbl 1300.01014
Extremal problems: history and the general approach to the theory of necessary conditions. (English) Zbl 1297.49001
Burenkov, V. I. (ed.) et al., Progress in analysis. Proceedings of the 8th congress of the International Society for Analysis, its Applications, and Computation (ISAAC), Moscow, Russia, August 22–27, 2011. Volume 3. Moscow: Peoples’ Friendship University of Russia (ISBN 978-5-209-04597-7/hbk). 86-92 (2012).
Remembering Wassily Hoeffding. (English) Zbl 1329.62017
The “Pontryagin derivative” in optimal control. (English. Russian original) Zbl 1148.49015
Dokl. Math. 77, No. 3, 329-331 (2008); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 420, No. 1, 11-13 (2008).
Bibliography on bilevel programming. (Chinese. English summary) Zbl 1482.90001
From Bernoulli’s brachistochrone to the concept of calibration. A historical outline on the rise of field theory in the calculus of variations (sufficient conditions in variational calculus). (Von der Bernoullischen Brachistochrone zum Kalibrator-Konzept. Ein historischer Abrißzur Entstehung der Feldtheorie in der Variationsrechnung (hinreichende Bedingungen in der Variationsrechnung).) (German) Zbl 1170.01006
De Diversis Artibus 80 (NS 43). Turnhout: Brepols Publishers (ISBN 978-2-503-52666-9; 978-2-503-52438-2). 828 p. (2007).
Reviewer: H. Guggenheimer (West Hempstead)
The Pontryagin maximum principle 50 years later. (English. Russian original) Zbl 1122.49001
Maksimov, V. I. (ed.), Dynamical systems: modeling, optimization, and control. Transl. from the Russian. Moscow: Maik Nauka/Interperiodica, Pleiades Publishing/distrib. by Springer. Proc. Steklov Inst. Math. 2006, Suppl. 1, S4-S12 (2006); translation from Tr. Inst. Mat. Mekh. 12, No. 1, 6-14 (2006).
Noether’s theorems. Invariance and conservation laws in the twentieth century. With a translation of the original article “Invariante Variationsprobleme”. With the collaboration of Laurent Meersseman. 2nd ed. (Les théorèmes de Noether. Invariance et lois de conservation au XXème siècle.) (French) Zbl 1128.01024
Histoire des Mathématiques (Palaiseau). Palaiseau: Les Éditions de l’École Polytechnique (ISBN 2-7302-1138-1/pbk). xii, 201 p. (2006).
Reviewer: Teodora-Liliana Rădulescu (Craiova)
Separation of convex cones and extremal problems. (English) Zbl 1096.49513
Giannessi, Franco (ed.) et al., Variational analysis and applications. Proceedings of the 38th conference of the School of Mathematics “G. Stampacchia” in memory of G. Stampacchia and J.-L. Lions, Erice, Italy, June 20–July 1, 2003. New York, NY: Springer (ISBN 0-387-24209-0/hbk; 0-387-24276-7/e-book ). Nonconvex Optimization and its Applications 79, 205-213 (2005).
Brachistochrone curves in gravity fields. (Italian) Zbl 1169.49301
Ricordando Franco Conti. Pisa: Scuola Normale Superiore (ISBN 88-7642-137-8/pbk). Pubblicazioni del Centro di Ricerca Matematica Ennio de Giorgi, 49-58 (2004).
Dynamic programming. Reprint of the sixth (1972) edition. (English) Zbl 1029.90076
Mineola, NY: Dover Publications. xxv, 340 p. (2003).
Reviewer: K.Zimmermann (Praha)
The brachistochrone problem and modern control theory. (English) Zbl 1047.93001
Anzaldo-Meneses, A. (ed.) et al., Contemporary trends in nonlinear geometric control theory and its applications. International conference, México City, México, summer 2000. Dedicated to Velimir Jurdjevic on his 60th birthday. Singapore: World Scientific (ISBN 981-02-4841-5). 113-166 (2002).
Reviewer: Manuel C. Guerra (Lisboa)
300 years of optimal control: From the brachystochrone to the maximum principle. (Portuguese) Zbl 1014.49001
Bol. Soc. Port. Mat. 45, 21-54 (2001); translation from IEEE Control Systems Magazine, vol. 17, 32-44 (1997) (2001).
Reviewer: Manuel C.Guerra (Lisboa)
Gustav Elfving’s contribution to the emergence of the optimal experimental design theory. (English) Zbl 1059.62578
Optimal control theory: From finite dimensions to infinite dimensions. (English) Zbl 0982.49001
Chen, Shuping (ed.) et al., Control of distributed parameter and stochastic systems. Proceedings of the international conference (IFIP WG 7.2), Hangzhou, China, June 19-22, 1998. Boston, MA: Kluwer Academic Publishers. 85-93 (1999).
Discovery of the maximum principle. (English) Zbl 0955.49001
Reviewer: Gheorghe Aniculăesei (Iaşi)
Development of the theory of optimal systems with delayed arguments in Georgia. (English) Zbl 0892.49013
MSC:
49K25
01A60
The isoperimetric inequality and eigenvalues of the Laplacian. (English) Zbl 0742.58008
Constantin Carathéodory: an international tribute. Vol. II, 1146-1163 (1991).
Reviewer: C.S.Sharma (London)
Optimization and differential games. (Bulgarian) Zbl 0711.90103
Fiz.-Mat. Spis. 32(65), No. 2, 102-107 (1990).
Works of L. V. Kantorovich in the field of solution of network transportation problems and development of his ideas in the USSR. (Russian) Zbl 0807.01018
Shatalin, S. S. (ed.), Economic-mathematical models and methods. Collection of scientific works. To the memory of Academician L. V. Kantorovich. Voronezh: Izdatel’stvo Voronezhskogo Universiteta. 39-57 (1989).
Reviewer: W.H.Schmidt (Greifswald)
Thirty years of optimal control. Was the path unique? (English) Zbl 0703.49016
Modern optimal control, Conf. in Honor of S. Lefschetz and J. P. LaSalle, Lect. Notes Pure Appl. Math. 119, 359-375 (1989).
Reviewer: J.Hammer
Collected papers III: Design of experiments. Publ. with the co-operation of the Institute of Mathematical Statistics and ed. by Lawrence D. Brown, Ingram Olkin, Jerome Sacks, Henry P. Wynn. (English) Zbl 0586.62002
New York etc.: Springer-Verlag. XXIV, 718 p. DM 128.00 (1985).
Reviewer: D.V.Chopra
Collected papers I, II: Statistical inference and probability (1951–1963), (1964–1984). Publ. with the co-operation of the Institute of Mathematical Statistics and ed. by Lawrence D. Brown, Ingram Olkin, Jerome Sacks, Henry P. Wynn. (English) Zbl 0586.62001
New York etc.: Springer-Verlag. XXXII, 502 p.; XIV, 590 p. DM 278.00 (1985).
Reviewer: D.V.Chopra
Classical optimization. (English) Zbl 0488.90056
Mathematical programming for operations researchers and computer scientists, Ind. Eng. 6, 233-269 (1981).
From the rule of Lagrangian multipliers to Pontryagin’s maximum principle (on the history of necessary extremum conditions in problems with constraints). (Russian) Zbl 0472.49003
Recent progress in the calculus of variations. (Bulgarian. Italian original) Zbl 0900.49002
Fiz.-Mat. Spis. 25(58), 133-144 (1983); translation from Boll. Unione Mat. Ital., V. Ser., A 17, 209-225 (1980).
Method of optimum control. (English. Russian original) Zbl 0403.49003
J. Sov. Math. 7, 795-849 (1977); translation from Itogi Nauki Tekh., Ser. Sovrem. Probl. Mat. 6, 133-206 (1976).
Development of the calculus of variations within the last years. (Weiterentwicklung der Variationsrechnung in den letzten Jahren.) (German) JFM 35.0365.01
EncykL d. math. Wiss. \(2_1\), 626-641 (1904).
Reviewer: Haussner, Prof. (Jena)
Calculus of variation. (Variationsrechnung.) (German) JFM 35.0364.03
Encykl. d. math. Wiss. \(2_1\), 571-625 (1904).
Reviewer: Haussner, Prof. (Jena)
Treatises on the calculus of variations. Part II. Edited by P. Stäckel. (Abhandlungen über Variationsrechnung. II. Teil. Hrsg. von P. Stäckel.) (German) JFM 25.0647.03
Reviewer: Schafheitlin, Dr. (Charlottenburg)
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