Avez, A. Differential calculus. Translated from the French by D. Edmunds. Reprint of the 1986 edition. (English) Zbl 1458.46001 Mineola, NY: Dover Publications (ISBN 978-0-486-84564-7/pbk). xii, 179 p. (2020). MSC: 46-01 46G05 34G20 49J27 34G10 26B10 46A32 58C20 58C15 01A75 PDF BibTeX XML Cite \textit{A. Avez}, Differential calculus. Translated from the French by D. Edmunds. Reprint of the 1986 edition. Mineola, NY: Dover Publications (2020; Zbl 1458.46001) OpenURL
Sarlet, W.; Mestdag, T.; Prince, G. A generalization of Szebehely’s inverse problem of dynamics in dimension three. (English) Zbl 1384.49030 Rep. Math. Phys. 79, No. 3, 367-389 (2017). MSC: 49N45 70H03 70F17 45Q05 PDF BibTeX XML Cite \textit{W. Sarlet} et al., Rep. Math. Phys. 79, No. 3, 367--389 (2017; Zbl 1384.49030) Full Text: DOI arXiv OpenURL
Ding, Guangtao Some progressions in the study of the inverse problem of the calculus of variations. (Chinese. English summary) Zbl 1374.70038 Acta Sci. Nat. Univ. Pekin. 52, No. 4, 732-740 (2016). MSC: 70G75 PDF BibTeX XML Cite \textit{G. Ding}, Acta Sci. Nat. Univ. Pekin. 52, No. 4, 732--740 (2016; Zbl 1374.70038) Full Text: DOI OpenURL
Lecaros, Rodrigo; Zuazua, Enrique Control of 2D scalar conservation laws in the presence of shocks. (English) Zbl 1336.35239 Math. Comput. 85, No. 299, 1183-1224 (2016). MSC: 35L67 49J20 90C31 49M30 35L65 35Q93 65M06 PDF BibTeX XML Cite \textit{R. Lecaros} and \textit{E. Zuazua}, Math. Comput. 85, No. 299, 1183--1224 (2016; Zbl 1336.35239) Full Text: DOI Link OpenURL
Do, Thoan; Prince, Geoff New progress in the inverse problem in the calculus of variations. (English) Zbl 1333.37070 Differ. Geom. Appl. 45, 148-179 (2016). Reviewer: Mircea Crâşmăreanu (Iaşi) MSC: 37J05 70H03 58A15 49N45 PDF BibTeX XML Cite \textit{T. Do} and \textit{G. Prince}, Differ. Geom. Appl. 45, 148--179 (2016; Zbl 1333.37070) Full Text: DOI arXiv OpenURL
Barbero-Liñán, María; Puiggalí, Marta Farré; Martín de Diego, David Isotropic submanifolds and the inverse problem for mechanical constrained systems. (English) Zbl 1308.49026 J. Phys. A, Math. Theor. 48, No. 4, Article ID 045210, 35 p. (2015). MSC: 49N45 70F25 58E30 PDF BibTeX XML Cite \textit{M. Barbero-Liñán} et al., J. Phys. A, Math. Theor. 48, No. 4, Article ID 045210, 35 p. (2015; Zbl 1308.49026) Full Text: DOI arXiv OpenURL
Sarlet, W.; Mestdag, T.; Prince, G. A generalization of Szebehely’s inverse problem of dynamics. (English) Zbl 1391.70048 Rep. Math. Phys. 72, No. 1, 65-84 (2013). MSC: 70H03 70F17 58E30 PDF BibTeX XML Cite \textit{W. Sarlet} et al., Rep. Math. Phys. 72, No. 1, 65--84 (2013; Zbl 1391.70048) Full Text: DOI arXiv OpenURL
Filippov, V. M.; Savchin, V. M.; Budochkina, S. A. On the existence of variational principles for differential-difference evolution equations. (English. Russian original) Zbl 1296.49033 Proc. Steklov Inst. Math. 283, 20-34 (2013); translation from Tr. Mat. Inst. Steklova 283, 25-39 (2013). Reviewer: Vasile Iftode (Bucureşti) MSC: 49N45 49J20 49J21 35R10 PDF BibTeX XML Cite \textit{V. M. Filippov} et al., Proc. Steklov Inst. Math. 283, 20--34 (2013; Zbl 1296.49033); translation from Tr. Mat. Inst. Steklova 283, 25--39 (2013) Full Text: DOI OpenURL
Rossi, Olga; Musilová, Jana On the inverse variational problem in nonholonomic mechanics. (English) Zbl 1271.49027 Commun. Math. 20, No. 1, 41-62 (2012). MSC: 49N45 58E30 70F25 PDF BibTeX XML Cite \textit{O. Rossi} and \textit{J. Musilová}, Commun. Math. 20, No. 1, 41--62 (2012; Zbl 1271.49027) Full Text: Link OpenURL
Anderson, Ian M.; Pohjanpelto, Juha Variational principles for natural divergence-free tensors in metric field theories. (English) Zbl 1257.58011 J. Geom. Phys. 62, No. 12, 2376-2388 (2012). MSC: 58E30 58J70 35Q75 PDF BibTeX XML Cite \textit{I. M. Anderson} and \textit{J. Pohjanpelto}, J. Geom. Phys. 62, No. 12, 2376--2388 (2012; Zbl 1257.58011) Full Text: DOI arXiv OpenURL
Krupková, Olga; Smetanová, Dana Lepage equivalents of second-order Euler-Lagrange forms and the inverse problem of the calculus of variations. (English) Zbl 1170.58006 J. Nonlinear Math. Phys. 16, No. 2, 235-250 (2009). MSC: 58E30 35R30 70S05 PDF BibTeX XML Cite \textit{O. Krupková} and \textit{D. Smetanová}, J. Nonlinear Math. Phys. 16, No. 2, 235--250 (2009; Zbl 1170.58006) Full Text: DOI OpenURL
Krupková, Olga Variational exterior differential systems. (English) Zbl 1146.58002 Gaeta, Giuseppe (ed.) et al., Symmetry and perturbation theory. Proceedings of the 6th international conference, SPT 2007, Otranto, Italy, June 2–9, 2007. Hackensack, NJ: World Scientific (ISBN 978-981-277-616-7/hbk). 124-131 (2008). MSC: 58A15 70H50 70S05 PDF BibTeX XML Cite \textit{O. Krupková}, in: Symmetry and perturbation theory. Proceedings of the 6th international conference, SPT 2007, Otranto, Italy, June 2--9, 2007. Hackensack, NJ: World Scientific. 124--131 (2008; Zbl 1146.58002) OpenURL
Banks, H. T.; Davis, Jimena L. A comparison of approximation methods for the estimation of probability distributions on parameters. (English) Zbl 1115.65009 Appl. Numer. Math. 57, No. 5-7, 753-777 (2007). MSC: 65C50 60H07 92D25 49J55 49N45 PDF BibTeX XML Cite \textit{H. T. Banks} and \textit{J. L. Davis}, Appl. Numer. Math. 57, No. 5--7, 753--777 (2007; Zbl 1115.65009) Full Text: DOI Link OpenURL
López, Carlos Integrability of Helmholtz conditions. (English) Zbl 1118.35316 Clemente-Gallardo, Jesús (ed.) et al., Groups, geometry and physics. Lectures presented at the workshop, Zaragoza, Spain, December 9–10, 2005. Zaragoza: Real Academia de Ciencias Exactas, Físicas, Químicas y Naturales de Zaragoza. Monografías de la Real Academia de Ciencias Exactas, Físicas, Químicas y Naturales de Zaragoza 29, 151-160 (2006). MSC: 35F05 49S05 51P05 58E30 70G45 70H03 70H25 70S05 35R30 PDF BibTeX XML Cite \textit{C. López}, in: Groups, geometry and physics. Lectures presented at the workshop, Zaragoza, Spain, December 9--10, 2005. Zaragoza: Real Academia de Ciencias Exactas, Físicas, Químicas y Naturales de Zaragoza. 151--160 (2006; Zbl 1118.35316) OpenURL
Voronov, Theodore An alternative form of the Helmholtz criterion in the inverse problem of calculus of variations. (English) Zbl 1056.49032 Lett. Math. Phys. 67, No. 2, 103-110 (2004). Reviewer: Wing-Sum Cheung (Hong Kong) MSC: 49N45 58E30 37K05 PDF BibTeX XML Cite \textit{T. Voronov}, Lett. Math. Phys. 67, No. 2, 103--110 (2004; Zbl 1056.49032) Full Text: DOI arXiv OpenURL
Bosseur, F.; Orenga, P. Determination of boundary conditions in the open sea by a method of optimal control. (Détermination de conditions aux limites en mer ouverte par une méthode de contrôle optimal.) (French) Zbl 1011.35133 Cioranescu, Doina (ed.) et al., Nonlinear partial differential equations and their applications. Collège de France seminar. Vol. XIV. Lectures held at the J. L. Lions seminar on applied mathematics, Paris, France, 1997-1998. Amsterdam: Elsevier. Stud. Math. Appl. 31, 103-132 (2002). MSC: 35R30 49M30 35Q35 86A05 PDF BibTeX XML Cite \textit{F. Bosseur} and \textit{P. Orenga}, in: Nonlinear partial differential equations and their applications. Collège de France seminar. Vol. XIV. Lectures held at the J. L. Lions seminar on applied mathematics, Paris, France, 1997--1998. Amsterdam: Elsevier. 103--132 (2002; Zbl 1011.35133) OpenURL
Sardanashvily, Gennadi Cohomology of the variational complex in the class of exterior forms of finite jet order. (English) Zbl 1006.58013 Int. J. Math. Math. Sci. 30, No. 1, 39-47 (2002). Reviewer: Jan Chrastina (Brno) MSC: 58E30 58A20 55N30 PDF BibTeX XML Cite \textit{G. Sardanashvily}, Int. J. Math. Math. Sci. 30, No. 1, 39--47 (2002; Zbl 1006.58013) Full Text: DOI EuDML Link OpenURL
Juráš, Martin Towards a solution of the inverse problem of the calculus of variations for scalar ordinary differential equations. (English) Zbl 1055.49023 Kowalski, Oldřich (ed.) et al., Differential geometry and its applications. Proceedings of the 8th international conference, Opava, Czech Republic, August 27–31, 2001. Opava: Silesian University at Opava (ISBN 80-7248-166-5/hbk). Math. Publ. (Opava) 3, 425-434 (2001). Reviewer: Mircea Crâşmăreanu (Iaşi) MSC: 49N45 34A26 34A55 58E30 PDF BibTeX XML Cite \textit{M. Juráš}, Math. Publ. (Opava) 3, 425--434 (2001; Zbl 1055.49023) OpenURL
Juráš, Martin The inverse problem of the calculus of variations for sixth- and eighth-order scalar ordinary differential equations. (English) Zbl 0991.49027 Acta Appl. Math. 66, No. 1, 25-39 (2001). Reviewer: Ion Mihai (Bucureşti) MSC: 49N45 34A55 53B50 PDF BibTeX XML Cite \textit{M. Juráš}, Acta Appl. Math. 66, No. 1, 25--39 (2001; Zbl 0991.49027) Full Text: DOI OpenURL
Aldridge, J. E.; Prince, G. E. Computer algebra solution of the inverse problem in the calculus of variations. (English) Zbl 0995.49022 Comput. Phys. Commun. 115, No. 2-3, 489-509 (1998). MSC: 49N45 49-04 PDF BibTeX XML Cite \textit{J. E. Aldridge} and \textit{G. E. Prince}, Comput. Phys. Commun. 115, No. 2--3, 489--509 (1998; Zbl 0995.49022) Full Text: DOI OpenURL
Soni, S. K.; Singh, Simmi Feynman’s proof of the Lorentz force equations with dissipation linear in the velocity. (English) Zbl 0902.53067 Mod. Phys. Lett. A 12, No. 33, 2523-2533 (1997). MSC: 53Z05 83C50 83C10 PDF BibTeX XML Cite \textit{S. K. Soni} and \textit{S. Singh}, Mod. Phys. Lett. A 12, No. 33, 2523--2533 (1997; Zbl 0902.53067) Full Text: DOI OpenURL
Fels, M. E. The inverse problem of the calculus of variations for scalar fourth-order ordinary differential equations. (English) Zbl 0879.34016 Trans. Am. Math. Soc. 348, No. 12, 5007-5029 (1996). MSC: 34A55 49N45 53B50 PDF BibTeX XML Cite \textit{M. E. Fels}, Trans. Am. Math. Soc. 348, No. 12, 5007--5029 (1996; Zbl 0879.34016) Full Text: DOI OpenURL
Fairlie, David; Nuyts, Jean Lagrangians from equations: A Skyrmion case study. (English) Zbl 0866.58026 Gruber, Bruno (ed.), Symmetries in science VI: From the rotation group to quantum algebras. Proceedings of a symposium held in Bregenz, Austria, August 2-7, 1992. New York, NY: Plenum Press. 217-224 (1993). Reviewer: H.Rumpf (Wien) MSC: 58E50 81T10 58Z05 81T13 PDF BibTeX XML Cite \textit{D. Fairlie} and \textit{J. Nuyts}, in: Symmetries in science VI: from the rotation group to quantum algebras. Proceedings of a symposium held in Bregenz, Austria, August 2-7, 1992. New York, NY: Plenum Press. 217--224 (1993; Zbl 0866.58026) OpenURL
Tulczyjew, W. M. Cohomology of the Lagrange complex. (English) Zbl 0654.58010 Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 14, No. 2, 217-227 (1987). Reviewer: L.Maxim Răileanu MSC: 58A99 55N99 58J10 58A12 PDF BibTeX XML Cite \textit{W. M. Tulczyjew}, Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 14, No. 2, 217--227 (1987; Zbl 0654.58010) Full Text: Numdam EuDML OpenURL
Skarzhinsky, V. D. Ambiguities of quantization procedure and choice of the Hamiltonian. (English) Zbl 0642.49030 Differential geometry and its applications, Proc. Conf., Brno/Czech. 1986, Math. Appl., East Eur. Ser. 27, 329-338 (1987). Reviewer: O.Gherman MSC: 49S05 37J99 81Q99 70H03 PDF BibTeX XML OpenURL
Avez, A. Differential calculus. Transl. from the French by D. Edmunds. (English) Zbl 0582.46001 A Wiley-Interscience Publication. Chichester - New York etc: John Wiley and Sons. XII, 179 p. £17.95 (1986). Reviewer: J.Lorenz MSC: 46-01 46G05 34G20 49J27 34G10 26B10 46A32 58C20 58C15 PDF BibTeX XML OpenURL
Bauderon, Michel Differential geometry and Lagrangian formalism in the calculus of variations. (English) Zbl 0606.49025 Differential geometry, calculus of variations, and their applications, Dedic. Mem. L. Euler 200th Anniv. Death, Lect. Notes Pure Appl. Math. 100, 67-82 (1985). MSC: 49Q99 58A15 58A20 49S05 37J99 70H99 PDF BibTeX XML OpenURL
Smith, Peter Convexity methods in variational calculus. (English) Zbl 0586.49001 Electronic & Electrical Engineering Research Studies. Applied and Engineering Mathematics Series, 1. Letchworth, Hertfordshire: Research Studies Press Ltd.; New York etc.: John Wiley & Sons Inc. X, 222 p. £25.60 (1985). Reviewer: J.J.Telega MSC: 49-01 49J45 49N15 46A55 47H05 47J05 49J50 90C25 PDF BibTeX XML OpenURL
Anderson, Ian M. Natural variational principles on Riemannian manifolds. (English) Zbl 0565.58019 Ann. Math. (2) 120, 329-370 (1984). MSC: 58E30 PDF BibTeX XML Cite \textit{I. M. Anderson}, Ann. Math. (2) 120, 329--370 (1984; Zbl 0565.58019) Full Text: DOI OpenURL
Krupka, D. Lepagean forms in higher order variational theory. (English) Zbl 0572.58003 Modern developments in analytical mechanics, Vol. I: Geometrical dynamics, Proc. IUTAM-ISIMM Symp., Torino/Italy 1982, 197-238 (1983). MSC: 58A99 58E30 PDF BibTeX XML OpenURL
Duzhin, S. V. A \({\mathcal C}\)-spectral sequence on the manifold \(J^ 1M\). (English) Zbl 0547.58006 Russ. Math. Surv. 38, No. 1, 179-181 (1983). MSC: 58A20 55T99 PDF BibTeX XML Cite \textit{S. V. Duzhin}, Russ. Math. Surv. 38, No. 1, 179--181 (1983; Zbl 0547.58006) Full Text: DOI OpenURL
Duzhin, S. V. The C-spectral sequence of the manifold \(J^ 1\)M. (Russian) Zbl 0521.58003 Usp. Mat. Nauk 38, No. 1(229), 165-166 (1983). MSC: 58A20 55T99 PDF BibTeX XML Cite \textit{S. V. Duzhin}, Usp. Mat. Nauk 38, No. 1(229), 165--166 (1983; Zbl 0521.58003) OpenURL
Schafir, R. L. The variational principle and natural transformations. II: Time dependent theory. (English) Zbl 0528.49027 Math. Proc. Camb. Philos. Soc. 91, 331-341 (1982). MSC: 49S05 37J99 70H30 37C80 34A55 PDF BibTeX XML Cite \textit{R. L. Schafir}, Math. Proc. Camb. Philos. Soc. 91, 331--341 (1982; Zbl 0528.49027) Full Text: DOI OpenURL
Chrastina, Jan Inverse problem of the classical calculus of variations. (English) Zbl 0496.58006 Arch. Math., Brno 18, 9-14 (1982). MSC: 58E30 37J99 58A10 70H05 70H03 49J20 PDF BibTeX XML Cite \textit{J. Chrastina}, Arch. Math., Brno 18, 9--14 (1982; Zbl 0496.58006) Full Text: EuDML OpenURL
Schafir, R. L. The variational principle and natural transformations. I: Autonomous dynamical systems. (English) Zbl 0495.49030 Math. Proc. Camb. Philos. Soc. 90, 537-560 (1981). MSC: 49S05 34A55 70H30 37J99 37C80 PDF BibTeX XML Cite \textit{R. L. Schafir}, Math. Proc. Camb. Philos. Soc. 90, 537--560 (1981; Zbl 0495.49030) Full Text: DOI OpenURL
Takens, Floris A global version of the inverse problem of the calculus of variations. (English) Zbl 0463.58015 J. Differ. Geom. 14, 543-562 (1979). Reviewer: C. S. Sharma MSC: 58E30 49N45 70H03 58A20 58E10 57R25 PDF BibTeX XML Cite \textit{F. Takens}, J. Differ. Geom. 14, 543--562 (1979; Zbl 0463.58015) Full Text: DOI OpenURL