Treanţă, Savin Constrained variational problems governed by second-order Lagrangians. (English) Zbl 1477.49033 Appl. Anal. 99, No. 9, 1467-1484 (2020). Reviewer: A. Omrane (Cayenne) MSC: 49K15 49K20 49K21 65K10 PDF BibTeX XML Cite \textit{S. Treanţă}, Appl. Anal. 99, No. 9, 1467--1484 (2020; Zbl 1477.49033) Full Text: DOI OpenURL
Urban, Zbyněk; Brajerčík, Ján The fundamental Lepage form in variational theory for submanifolds. (English) Zbl 1447.58017 Int. J. Geom. Methods Mod. Phys. 15, No. 6, Article ID 1850103, 30 p. (2018). MSC: 58E12 58E30 53A10 70H03 70H33 PDF BibTeX XML Cite \textit{Z. Urban} and \textit{J. Brajerčík}, Int. J. Geom. Methods Mod. Phys. 15, No. 6, Article ID 1850103, 30 p. (2018; Zbl 1447.58017) Full Text: DOI arXiv OpenURL
Arroyo, J.; Garay, O. J.; Pámpano, A. Constant mean curvature invariant surfaces and extremals of curvature energies. (English) Zbl 1388.49045 J. Math. Anal. Appl. 462, No. 2, 1644-1668 (2018). MSC: 49Q05 53A10 PDF BibTeX XML Cite \textit{J. Arroyo} et al., J. Math. Anal. Appl. 462, No. 2, 1644--1668 (2018; Zbl 1388.49045) Full Text: DOI OpenURL
Shu, Shichang; Chen, Junfeng Willmore spacelike submanifolds in an indefinite space form \(N^{n+p}_q (c)\). (English) Zbl 07476427 Publ. Inst. Math., Nouv. Sér. 102(116), 175-193 (2017). MSC: 53C42 53C40 PDF BibTeX XML Cite \textit{S. Shu} and \textit{J. Chen}, Publ. Inst. Math., Nouv. Sér. 102(116), 175--193 (2017; Zbl 07476427) Full Text: DOI OpenURL
Popescu, Paul; Popescu, Marcela On discrete geometry of non-holonomic spaces. (English) Zbl 1350.49034 Balan, Vladimir (ed.) et al., Proceedings of the international conference on differential geometry and dynamical systems (DGDS-2014), Mangalia, Romania, September 1–4, 2014. Bucharest: Geometry Balkan Press. BSG Proceedings 22, 69-74 (2015). MSC: 49M25 70F25 70H45 37J60 PDF BibTeX XML Cite \textit{P. Popescu} and \textit{M. Popescu}, BSG Proc. 22, 69--74 (2015; Zbl 1350.49034) OpenURL
Garay, Óscar J.; Tazawa, Yoshihiko Extremal curves for weighted elastic energy in surfaces of 3-space forms. (English) Zbl 1328.53003 Appl. Math. Comput. 251, 349-362 (2015). MSC: 53A05 PDF BibTeX XML Cite \textit{Ó. J. Garay} and \textit{Y. Tazawa}, Appl. Math. Comput. 251, 349--362 (2015; Zbl 1328.53003) Full Text: DOI OpenURL
Krupka, Demeter Invariant variational structures on fibered manifolds. (English) Zbl 1311.58005 Int. J. Geom. Methods Mod. Phys. 12, No. 2, Article ID 1550020, 19 p. (2015). MSC: 58D19 58E30 83E99 PDF BibTeX XML Cite \textit{D. Krupka}, Int. J. Geom. Methods Mod. Phys. 12, No. 2, Article ID 1550020, 19 p. (2015; Zbl 1311.58005) Full Text: DOI OpenURL
Treanţă, Savin PDEs of Hamilton-Pfaff type multi-time optimization problems. (English) Zbl 1374.70041 Sci. Bull., Ser. A, Appl. Math. Phys., Politeh. Univ. Buchar. 76, No. 1, 163-168 (2014). MSC: 70H05 49J20 34H05 93C20 65K10 70S05 PDF BibTeX XML Cite \textit{S. Treanţă}, Sci. Bull., Ser. A, Appl. Math. Phys., Politeh. Univ. Buchar. 76, No. 1, 163--168 (2014; Zbl 1374.70041) OpenURL
Boll, Raphael; Petrera, Matteo; Suris, Yuri B. What is integrability of discrete variational systems? (English) Zbl 1365.37053 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 470, No. 2162, Article ID 20130550, 15 p. (2014). Reviewer: Sotirios Konstantinou-Rizos (Grozny) MSC: 37K10 37K60 39A12 39A14 58E30 PDF BibTeX XML Cite \textit{R. Boll} et al., Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 470, No. 2162, Article ID 20130550, 15 p. (2014; Zbl 1365.37053) Full Text: DOI arXiv OpenURL
Shu, Shichang; Chen, Junfeng Willmore spacelike submanifolds in a Lorentzian space form \(N^{n+p}_p(c)\). (English) Zbl 1315.53066 Math. Commun. 19, No. 2, 301-319 (2014). Reviewer: Dorin Andrica (Riyadh) MSC: 53C42 53C40 PDF BibTeX XML Cite \textit{S. Shu} and \textit{J. Chen}, Math. Commun. 19, No. 2, 301--319 (2014; Zbl 1315.53066) Full Text: Link OpenURL
Popescu, Paul A Lagrangian form of tangent forms. (English) Zbl 1282.70032 J. Geom. Phys. 77, 113-130 (2014). MSC: 70G45 70H03 70H06 70H07 70H30 70H50 53C80 53D35 PDF BibTeX XML Cite \textit{P. Popescu}, J. Geom. Phys. 77, 113--130 (2014; Zbl 1282.70032) Full Text: DOI arXiv OpenURL
Suris, Yuri B. Variational formulation of commuting Hamiltonian flows: multi-time Lagrangian 1-forms. (English) Zbl 1330.37057 J. Geom. Mech. 5, No. 3, 365-379 (2013). MSC: 37J35 37J05 37J10 37J15 70H03 70H05 70H06 PDF BibTeX XML Cite \textit{Y. B. Suris}, J. Geom. Mech. 5, No. 3, 365--379 (2013; Zbl 1330.37057) Full Text: DOI arXiv OpenURL
Garay, Óscar J.; Pauley, Michael Critical curves for a Santaló problem in 3-space forms. (English) Zbl 1256.49059 J. Math. Anal. Appl. 398, No. 1, 80-99 (2013). MSC: 49Q99 49J20 53A04 53A05 PDF BibTeX XML Cite \textit{Ó. J. Garay} and \textit{M. Pauley}, J. Math. Anal. Appl. 398, No. 1, 80--99 (2013; Zbl 1256.49059) Full Text: DOI OpenURL
Krym, V. R. Index form for nonholonomic distributions. (English. Russian original) Zbl 1338.49093 Vestn. St. Petersbg. Univ., Math. 45, No. 2, 73-81 (2012); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 2012, No. 2, 31-40 (2012). MSC: 49Q20 53C17 53C22 PDF BibTeX XML Cite \textit{V. R. Krym}, Vestn. St. Petersbg. Univ., Math. 45, No. 2, 73--81 (2012; Zbl 1338.49093); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 2012, No. 2, 31--40 (2012) Full Text: DOI OpenURL
Popescu, Paul; Popescu, Marcela Variational problems of some second order Lagrangians given by Pfaff forms. (English) Zbl 1357.70019 Balkan J. Geom. Appl. 17, No. 2, 82-91 (2012). MSC: 70H03 58E30 70G45 70H06 70H07 70H30 70H50 PDF BibTeX XML Cite \textit{P. Popescu} and \textit{M. Popescu}, Balkan J. Geom. Appl. 17, No. 2, 82--91 (2012; Zbl 1357.70019) Full Text: EMIS OpenURL
Havelková, Monika Symmetries of a dynamical system represented by singular Lagrangians. (English) Zbl 1271.70029 Commun. Math. 20, No. 1, 23-32 (2012). MSC: 70H03 70H33 70H45 PDF BibTeX XML Cite \textit{M. Havelková}, Commun. Math. 20, No. 1, 23--32 (2012; Zbl 1271.70029) Full Text: Link OpenURL
Campos, Cédric M. Higher-order field theory with constraints. (English) Zbl 1264.70064 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 106, No. 1, 89-95 (2012). MSC: 70S05 70H50 53C80 55R10 PDF BibTeX XML Cite \textit{C. M. Campos}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 106, No. 1, 89--95 (2012; Zbl 1264.70064) Full Text: DOI OpenURL
Barros, Manuel; Garay, Óscar J. Critical curves for the total normal curvature in surfaces of 3-dimensional space forms. (English) Zbl 1231.49036 J. Math. Anal. Appl. 389, No. 1, 275-292 (2012). MSC: 49Q20 53A04 PDF BibTeX XML Cite \textit{M. Barros} and \textit{Ó. J. Garay}, J. Math. Anal. Appl. 389, No. 1, 275--292 (2012; Zbl 1231.49036) Full Text: DOI OpenURL
Krym, V. R. Jacobi fields for a nonholonomic distribution. (English. Russian original) Zbl 1253.53040 Vestn. St. Petersbg. Univ., Math. 43, No. 4, 232-241 (2010); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 2010, No. 4, 51-61 (2010). MSC: 53C22 58A30 PDF BibTeX XML Cite \textit{V. R. Krym}, Vestn. St. Petersbg. Univ., Math. 43, No. 4, 232--241 (2010; Zbl 1253.53040); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 2010, No. 4, 51--61 (2010) Full Text: DOI OpenURL
Krupková, Olga; Malíková, Radka Helmholtz conditions and their generalizations. (English) Zbl 1227.49042 Balkan J. Geom. Appl. 15, No. 1, 80-89 (2010). MSC: 49N45 49J27 58E99 58A20 PDF BibTeX XML Cite \textit{O. Krupková} and \textit{R. Malíková}, Balkan J. Geom. Appl. 15, No. 1, 80--89 (2010; Zbl 1227.49042) Full Text: EuDML OpenURL
Krupka, D.; Krupka, M. Higher order Grassmann fibrations and the calculus of variations. (English) Zbl 1227.49048 Balkan J. Geom. Appl. 15, No. 1, 68-79 (2010). MSC: 49Q20 58A20 58A30 58E99 PDF BibTeX XML Cite \textit{D. Krupka} and \textit{M. Krupka}, Balkan J. Geom. Appl. 15, No. 1, 68--79 (2010; Zbl 1227.49048) Full Text: EuDML OpenURL
Calin, Ovidiu; Chang, Der-Chen The heat kernel for gravitational potential operators in one and two variables. (English) Zbl 1225.35061 Pure Appl. Math. Q. 6, No. 3, 677-692 (2010). MSC: 35H20 35A08 PDF BibTeX XML Cite \textit{O. Calin} and \textit{D.-C. Chang}, Pure Appl. Math. Q. 6, No. 3, 677--692 (2010; Zbl 1225.35061) Full Text: DOI OpenURL
Krupka, Demeter; Krupková, Olga; Saunders, David The Cartan form and its generalizations in the calculus of variations. (English) Zbl 1194.49069 Int. J. Geom. Methods Mod. Phys. 7, No. 4, 631-654 (2010). MSC: 49Q20 53B40 58E30 70H25 PDF BibTeX XML Cite \textit{D. Krupka} et al., Int. J. Geom. Methods Mod. Phys. 7, No. 4, 631--654 (2010; Zbl 1194.49069) Full Text: DOI OpenURL
Mabrouk, M. Triangular form for Euler-Lagrange systems with application to the global output tracking control. (English) Zbl 1189.70129 Nonlinear Dyn. 60, No. 1-2, 87-98 (2010). MSC: 70Q05 70H03 93B52 PDF BibTeX XML Cite \textit{M. Mabrouk}, Nonlinear Dyn. 60, No. 1--2, 87--98 (2010; Zbl 1189.70129) Full Text: DOI OpenURL
Malíková, Radka On a generalization of Helmholtz conditions. (English) Zbl 1238.58001 Acta Math. Univ. Ostrav. 17, No. 1, 11-21 (2009). MSC: 58A10 70G45 PDF BibTeX XML Cite \textit{R. Malíková}, Acta Math. Univ. Ostrav. 17, No. 1, 11--21 (2009; Zbl 1238.58001) Full Text: EuDML Link OpenURL
Luk’yanov, V. A. One-dimensional Lagrangians generated by a quadratic form. (English. Russian original) Zbl 1180.49045 Russ. Math. 53, No. 5, 28-37 (2009); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2009, No. 5, 33-44 (2009). MSC: 49Q20 PDF BibTeX XML Cite \textit{V. A. Luk'yanov}, Russ. Math. 53, No. 5, 28--37 (2009; Zbl 1180.49045); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2009, No. 5, 33--44 (2009) Full Text: DOI 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; Volná, Jana; Volný, Petr Constrained Lepage forms. (English) Zbl 1167.58009 Kowalski, Oldřich (ed.) et al., Differential geometry and its applications. Proceedings of the 10th international conference on differential geometry and its applications, DGA 2007, Olomouc, Czech Republic, August 27–31, 2007. Hackensack, NJ: World Scientific (ISBN 978-981-279-060-6/hbk). 627-633 (2008). MSC: 58E30 35A30 58A10 70S05 PDF BibTeX XML Cite \textit{O. Krupková} et al., in: Differential geometry and its applications. Proceedings of the 10th international conference on differential geometry and its applications, DGA 2007, Olomouc, Czech Republic, August 27--31, 2007. Hackensack, NJ: World Scientific. 627--633 (2008; Zbl 1167.58009) OpenURL
Krupka, Demeter; Krupková, Olga Contact symmetries and variational PDE’s. (English) Zbl 1147.70009 Acta Appl. Math. 101, No. 1-3, 163-176 (2008). MSC: 70G65 70G75 70G45 PDF BibTeX XML Cite \textit{D. Krupka} and \textit{O. Krupková}, Acta Appl. Math. 101, No. 1--3, 163--176 (2008; Zbl 1147.70009) 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
Krupka, D. Natural variational principles. (English) Zbl 1295.49028 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). 116-123 (2008). MSC: 49S05 53A55 58A32 58E30 PDF BibTeX XML Cite \textit{D. Krupka}, in: Symmetry and perturbation theory. Proceedings of the 6th international conference, SPT 2007, Otranto, Italy, June 2--9, 2007. Hackensack, NJ: World Scientific. 116--123 (2008; Zbl 1295.49028) OpenURL
Brajerčík, Jan; Krupka, Demeter Cohomology and local variational principles. (English) Zbl 1235.49081 Iglesias Ponte, David (ed.) et al., Proceedings of the XV international workshop on geometry and physics, Puerto de la Cruz, Spain, September 11–16, 2006. Madrid: Real Sociedad Matemática Española (ISBN 978-84-935196-1-2/pbk). Publicaciones de la Real Sociedad Matemática Española 11, 119-124 (2007). MSC: 49Q20 49S05 58A10 58E30 PDF BibTeX XML Cite \textit{J. Brajerčík} and \textit{D. Krupka}, Publ. R. Soc. Mat. Esp. 11, 119--124 (2007; Zbl 1235.49081) OpenURL
Ciobanu, Monica; Obădeanu, Virgil Geometric structures associated to Lagrangian dynamical systems. (English) Zbl 1125.70011 Tensor, New Ser. 66, No. 2, 131-136 (2005). MSC: 70H03 70G45 PDF BibTeX XML Cite \textit{M. Ciobanu} and \textit{V. Obădeanu}, Tensor, New Ser. 66, No. 2, 131--136 (2005; Zbl 1125.70011) OpenURL
Krupka, Demeter; Šeděnková, Jana Variational sequences and Lepage forms. (English) Zbl 1115.35349 Bureš, Jarolím (ed.) et al., Differential geometry and its applications. Proceedings of the 9th international conference on differential geometry and its applications, DGA 2004, Prague, Czech Republic, August 30–September 3, 2004. Prague: matfyzpress (ISBN 80-86732-63-0/pbk). 617-627 (2005). MSC: 35L15 58A10 58A20 70G75 PDF BibTeX XML Cite \textit{D. Krupka} and \textit{J. Šeděnková}, in: Differential geometry and its applications. Proceedings of the 9th international conference on differential geometry and its applications, DGA 2004, Prague, Czech Republic, August 30--September 3, 2004. Prague: matfyzpress. 617--627 (2005; Zbl 1115.35349) OpenURL
Brajerčík, J.; Krupka, D. Variational principles on frame bundles. (English) Zbl 1111.49030 Bureš, Jarolím (ed.) et al., Differential geometry and its applications. Proceedings of the 9th international conference on differential geometry and its applications, DGA 2004, Prague, Czech Republic, August 30–September 3, 2004. Prague: matfyzpress (ISBN 80-86732-63-0/pbk). 559-569 (2005). MSC: 49Q99 53A55 58A20 58J99 PDF BibTeX XML Cite \textit{J. Brajerčík} and \textit{D. Krupka}, in: Differential geometry and its applications. Proceedings of the 9th international conference on differential geometry and its applications, DGA 2004, Prague, Czech Republic, August 30--September 3, 2004. Prague: matfyzpress. 559--569 (2005; Zbl 1111.49030) OpenURL
El-Nabulsi, Rami Ahmad Weak dissipative Hamiltonian-Lagrangian mechanics and constrained Euler-Lagrange 1-form on cohomological \(2n\)-dimensional symplectic manifolds. (English) Zbl 1177.70022 Int. J. Appl. Math. 17, No. 4, 369-383 (2005). MSC: 70H45 26A33 81Q05 37N05 37N15 PDF BibTeX XML Cite \textit{R. A. El-Nabulsi}, Int. J. Appl. Math. 17, No. 4, 369--383 (2005; Zbl 1177.70022) OpenURL
Muñoz Masqué, J.; Pozo Coronado, L. M. Global characterization of variational first-order quasi-linear equations. (English) Zbl 1087.58010 Rep. Math. Phys. 56, No. 1, 23-38 (2005). MSC: 58E30 58A20 PDF BibTeX XML Cite \textit{J. Muñoz Masqué} and \textit{L. M. Pozo Coronado}, Rep. Math. Phys. 56, No. 1, 23--38 (2005; Zbl 1087.58010) Full Text: DOI OpenURL
Krbek, Michael; Musilová, Jana Representation of the variational sequence by differential forms. (English) Zbl 1085.58014 Acta Appl. Math. 88, No. 2, 177-199 (2005). Reviewer: Boris S. Kruglikov (Tromsø) MSC: 58E30 58A20 53C65 58A10 PDF BibTeX XML Cite \textit{M. Krbek} and \textit{J. Musilová}, Acta Appl. Math. 88, No. 2, 177--199 (2005; Zbl 1085.58014) Full Text: DOI OpenURL
Šeděnková, J. A generalization of Lepage forms in mechanics. (English) Zbl 1117.58001 Taş, Kenan (ed.) et al., Global analysis and applied mathematics. Proceedings of the international workshop on global analysis, Ankara, Turkey, April 15–17, 2004. Melville, NY: American Institute of Physics (ISBN 0-7354-0209-4/hbk). AIP Conference Proceedings 729, 281-288 (2004). Reviewer: Mircea Puta (Timişoara) MSC: 58A20 35A15 58A10 70G75 PDF BibTeX XML Cite \textit{J. Šeděnková}, AIP Conf. Proc. 729, 281--288 (2004; Zbl 1117.58001) OpenURL
Krbek, Michael; Musilová, Jana Representation of the variational sequence by differential forms. (English) Zbl 1046.58005 Rep. Math. Phys. 51, No. 2-3, 251-258 (2003). MSC: 58E30 49K27 58A15 93B29 PDF BibTeX XML Cite \textit{M. Krbek} and \textit{J. Musilová}, Rep. Math. Phys. 51, No. 2--3, 251--258 (2003; Zbl 1046.58005) Full Text: DOI OpenURL
Bryant, Robert; Griffiths, Phillip; Grossman, Daniel Exterior differential systems and Euler-Lagrange partial differential equations. (English) Zbl 1024.58006 Chicago Lectures in Mathematics. Chicago: University of Chicago Press. vii, 213 p. (2003). Reviewer: Akira Asada (Takarazuka) MSC: 58E30 58-02 35-02 58A15 53D10 PDF BibTeX XML Cite \textit{R. Bryant} et al., Exterior differential systems and Euler-Lagrange partial differential equations. Chicago: University of Chicago Press (2003; Zbl 1024.58006) Full Text: arXiv OpenURL
Monterde, J.; Muñoz Masqué, J. Hamiltonian formalism in supermechanics. (English) Zbl 1106.37307 Int. J. Theor. Phys. 41, No. 3, 429-458 (2002). Reviewer: Miloslav Znojil (Řež) MSC: 37J05 58A50 70G45 70H05 70S05 PDF BibTeX XML Cite \textit{J. Monterde} and \textit{J. Muñoz Masqué}, Int. J. Theor. Phys. 41, No. 3, 429--458 (2002; Zbl 1106.37307) Full Text: DOI OpenURL
Krupková, Olga; Smetanová, Dana Legendre transformation for regularizable Lagrangians in field theory. (English) Zbl 1005.70025 Lett. Math. Phys. 58, No. 3, 189-204 (2001). MSC: 70S05 58Z05 78A25 PDF BibTeX XML Cite \textit{O. Krupková} and \textit{D. Smetanová}, Lett. Math. Phys. 58, No. 3, 189--204 (2001; Zbl 1005.70025) Full Text: DOI arXiv OpenURL
Martínez, Eduardo Lagrangian mechanics on Lie algebroids. (English) Zbl 1002.70013 Acta Appl. Math. 67, No. 3, 295-320 (2001). MSC: 70H03 70G45 70G60 PDF BibTeX XML Cite \textit{E. Martínez}, Acta Appl. Math. 67, No. 3, 295--320 (2001; Zbl 1002.70013) Full Text: DOI OpenURL
Krupka, Demeter; Musilová, Jana Recent results in variational sequence theory. (English) Zbl 1003.58015 Kozma, L. (ed.) et al., Steps in differential geometry. Proceedings of the colloquium on differential geometry, Debrecen, Hungary, July 25-30, 2000. Debrecen: Univ. Debrecen, Institute of Mathematics and Informatics, 161-186 (2001). Reviewer: Jan Chrastina (Brno) MSC: 58E30 58-02 58A15 PDF BibTeX XML Cite \textit{D. Krupka} and \textit{J. Musilová}, in: Steps in differential geometry. Proceedings of the colloquium on differential geometry, Debrecen, Hungary, July 25--30, 2000. Debrecen: Univ. Debrecen, Institute of Mathematics and Informatics. 161--186 (2001; Zbl 1003.58015) Full Text: EMIS OpenURL
Krupková, Olga; Smetanová, Dana On regularization of variational problems in first-order field theory. (English) Zbl 0979.35005 Slovák, Jan (ed.) et al., The proceedings of the 20th winter school “Geometry and physics”, Srní, Czech Republic, January 15-22, 2000. Palermo: Circolo Matematico di Palermo, Suppl. Rend. Circ. Mat. Palermo, II. Ser. 66, 133-140 (2001). MSC: 35A15 49N60 58Z05 PDF BibTeX XML Cite \textit{O. Krupková} and \textit{D. Smetanová}, in: The proceedings of the 20th winter school ``Geometry and physics'', Srní, Czech Republic, January 15--22, 2000. Palermo: Circolo Matematico di Palermo. 133--140 (2001; Zbl 0979.35005) OpenURL
Iglesias, Patrick Symmetries and moment. (Symétries et moment.) (French) Zbl 0982.70001 Collection Enseignement des Sciences. 54. Paris: Hermann. 204 p. (2001). Reviewer: Manuel de León (Madrid) MSC: 70-02 70H33 70G45 70E20 PDF BibTeX XML Cite \textit{P. Iglesias}, Symétries et moment. Paris: Hermann (2001; Zbl 0982.70001) OpenURL
Krbek, M.; Musilová, J.; Kašparová, J. The variational sequence: Local and global properties. (English) Zbl 1004.58008 Krupka, D. (ed.), Proceedings of the seminar on differential geometry, Opava, Czech Republic, 2000. Opava: Silesian University at Opava. Math. Publ. (Opava). 2, 15-38 (2000). MSC: 58E30 58A15 PDF BibTeX XML Cite \textit{M. Krbek} et al., in: Proceedings of the seminar on differential geometry, Opava, Czech Republic, 2000. Opava: Silesian University at Opava. 15--38 (2000; Zbl 1004.58008) OpenURL
Lewis, Andrew D. Towards \(F=ma\) in a general setting for Lagrangian mechanics. (English) Zbl 0969.70014 Ann. Henri Poincaré 1, No. 3, 569-605 (2000). Reviewer: Mircea Crâşmăreanu (Iaşi) MSC: 70G45 70H03 70E18 PDF BibTeX XML Cite \textit{A. D. Lewis}, Ann. Henri Poincaré 1, No. 3, 569--605 (2000; Zbl 0969.70014) Full Text: DOI OpenURL
Massa, Enrico; Pagani, Enrico; Lorenzoni, Paolo On the gauge structure of classical mechanics. (English) Zbl 0968.70014 Transp. Theory Stat. Phys. 29, No. 1-2, 69-91 (2000). Reviewer: Mircea Crâşmăreanu (Iaşi) MSC: 70G45 70H03 70H05 70S05 PDF BibTeX XML Cite \textit{E. Massa} et al., Transp. Theory Stat. Phys. 29, No. 1--2, 69--91 (2000; Zbl 0968.70014) 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
Grimaldi, P. Global methods in classical mechanics. The Euler-Lagrange equation. (English) Zbl 0919.70010 J. Math. Chem. 24, No. 1-3, 71-78 (1998). Reviewer: Jan Chrastina (Brno) MSC: 70H03 70G10 70-02 PDF BibTeX XML Cite \textit{P. Grimaldi}, J. Math. Chem. 24, No. 1--3, 71--78 (1998; Zbl 0919.70010) Full Text: DOI OpenURL
Leibov, O. On reduction and some exact solutions of the Euler-Lagrange-Born-Infeld equation. (English) Zbl 0954.35041 Shkil, Mykola (ed.) et al., Symmetry in nonlinear mathematical physics. Proceedings of the second international conference, Kyiv, Ukraine, July 7-13, 1997. Memorial Prof. W. Fushchych conference. Vol. 1. Kyiv: Institute of Mathematics of the National Academy of Sciences of Ukraine. 245-248 (1997). Reviewer: R.O.Popovych (Kyïv) MSC: 35C05 58J70 PDF BibTeX XML Cite \textit{O. Leibov}, in: Symmetry in nonlinear mathematical physics. Proceedings of the second international conference, Kyiv, Ukraine, July 7--13, 1997. Memorial Prof. W. Fushchych conference. Vol. 1. Kyiv: Institute of Mathematics of the National Academy of Sciences of Ukraine. 245--248 (1997; Zbl 0954.35041) OpenURL
Krupková, O. Noether theorem and first integrals of constrained Lagrangean systems. (English) Zbl 0897.58024 Math. Bohem. 122, No. 3, 257-265 (1997). MSC: 37B99 70H03 PDF BibTeX XML Cite \textit{O. Krupková}, Math. Bohem. 122, No. 3, 257--265 (1997; Zbl 0897.58024) Full Text: EuDML OpenURL
Krupka, Demeter Variational sequences in mechanics. (English) Zbl 0892.58001 Calc. Var. Partial Differ. Equ. 5, No. 6, 557-583 (1997). MSC: 58A15 58A20 58E30 49J45 37J99 70H03 PDF BibTeX XML Cite \textit{D. Krupka}, Calc. Var. Partial Differ. Equ. 5, No. 6, 557--583 (1997; Zbl 0892.58001) Full Text: DOI OpenURL
Krupková, Olga The geometry of ordinary variational equations. (English) Zbl 0936.70001 Lecture Notes in Mathematics. 1678. Berlin: Springer. x, 251 p. (1997). Reviewer: A.Akutowicz (Berlin) MSC: 70-02 70H50 49K15 58E30 70H03 70H20 70H33 PDF BibTeX XML Cite \textit{O. Krupková}, The geometry of ordinary variational equations. Berlin: Springer (1997; Zbl 0936.70001) Full Text: DOI OpenURL
Musilová, Jana Variational sequence in higher order mechanics. (English) Zbl 0867.58022 Janyška, Josef (ed.) et al., Differential geometry and applications. Proceedings of the 6th international conference, Brno, Czech Republic, August 28–September 1, 1995. Brno: Masaryk University. 611-624 (1996). Reviewer: M.Marvan (Opava) MSC: 58E30 58A20 58A15 PDF BibTeX XML Cite \textit{J. Musilová}, in: Differential geometry and applications. Proceedings of the 6th international conference, Brno, Czech Republic, August 28--September 1, 1995. Brno: Masaryk University. 611--624 (1996; Zbl 0867.58022) OpenURL
Krupková, Olga Symmetries and first integrals of time-dependent higher-order constrained systems. (English) Zbl 0870.58025 J. Geom. Phys. 18, No. 1, 38-58 (1996). MSC: 37J99 70H03 37C80 PDF BibTeX XML Cite \textit{O. Krupková}, J. Geom. Phys. 18, No. 1, 38--58 (1996; Zbl 0870.58025) Full Text: DOI OpenURL
Ilinca, A.; Camarero, R.; Trépanier, J. Y.; Reggio, M. Error estimator and adaptive moving grids for finite volumes schemes. (English) Zbl 0848.76059 AIAA J. 33, No. 11, 2058-2065 (1995). MSC: 76M25 76G25 76H05 PDF BibTeX XML Cite \textit{A. Ilinca} et al., AIAA J. 33, No. 11, 2058--2065 (1995; Zbl 0848.76059) Full Text: DOI OpenURL
de Pinho, Maria do Rosário; Vinter, Richard B. An Euler-Lagrange inclusion for optimal control problems. (English) Zbl 0827.49014 IEEE Trans. Autom. Control 40, No. 7, 1191-1198 (1995). MSC: 49K20 49J52 PDF BibTeX XML Cite \textit{M. d. R. de Pinho} and \textit{R. B. Vinter}, IEEE Trans. Autom. Control 40, No. 7, 1191--1198 (1995; Zbl 0827.49014) Full Text: DOI OpenURL
Krupka, Demeter Lectures on variational sequences. (English) Zbl 0940.58012 Advanced Texts in Mathematics. Opava: Open Education & Sciences. 86 p. (1995). Reviewer: V.Pavlenko (Chelyabinsk) MSC: 58E30 58A10 58-02 49Q20 49-02 70G75 PDF BibTeX XML Cite \textit{D. Krupka}, Lectures on variational sequences. Opava: Open Education \& Sciences (1995; Zbl 0940.58012) OpenURL
Grigore, D. R. Higher-order Lagrangian theories and Noetherian symmetries. (English) Zbl 0848.70012 Rom. J. Phys. 39, No. 1, 11-35 (1994). Reviewer: V.Marinca (Timişoara) MSC: 70H50 70H33 37N05 70G99 PDF BibTeX XML Cite \textit{D. R. Grigore}, Rom. J. Phys. 39, No. 1, 11--35 (1994; Zbl 0848.70012) Full Text: arXiv OpenURL
Costantini, Paolo Giuseppe On the geometrical structure of Euler-Lagrange equations. (English) Zbl 0815.58002 Ann. Mat. Pura Appl., IV. Ser. 167, 389-402 (1994). Reviewer: C.Bär (Freiburg) MSC: 58A20 PDF BibTeX XML Cite \textit{P. G. Costantini}, Ann. Mat. Pura Appl. (4) 167, 389--402 (1994; Zbl 0815.58002) Full Text: DOI OpenURL
de León, Manuel; Rodrigues, Paulo R. The inverse problem of Lagrangian dynamics for higher-order differential equations: A geometrical approach. (English) Zbl 0754.53025 Inverse Probl. 8, No. 4, 525-540 (1992). Reviewer: I.Kolář (Brno) MSC: 53C15 70H03 37J99 PDF BibTeX XML Cite \textit{M. de León} and \textit{P. R. Rodrigues}, Inverse Probl. 8, No. 4, 525--540 (1992; Zbl 0754.53025) Full Text: DOI OpenURL
Cariñena, José F.; López, Carlos Geometric study of Hamilton’s variational principle. (English) Zbl 0747.70013 Rev. Math. Phys. 3, No. 4, 379-401 (1991). MSC: 70H25 58E30 PDF BibTeX XML Cite \textit{J. F. Cariñena} and \textit{C. López}, Rev. Math. Phys. 3, No. 4, 379--401 (1991; Zbl 0747.70013) Full Text: DOI OpenURL
Vaisman, Izu On some variational problems for 2-dimensional Hermitian metrics. (English) Zbl 0721.53062 Ann. Global Anal. Geom. 8, No. 2, 137-145 (1990). Reviewer: L.Ornea (Bucureşti) MSC: 53C55 PDF BibTeX XML Cite \textit{I. Vaisman}, Ann. Global Anal. Geom. 8, No. 2, 137--145 (1990; Zbl 0721.53062) Full Text: DOI OpenURL
Treiman, Jay S. Optimal control with small generalized gradients. (English) Zbl 0715.49015 SIAM J. Control Optimization 28, No. 3, 720-732 (1990). Reviewer: P.Loewen MSC: 49J52 49J27 26E15 PDF BibTeX XML Cite \textit{J. S. Treiman}, SIAM J. Control Optim. 28, No. 3, 720--732 (1990; Zbl 0715.49015) Full Text: DOI OpenURL
Gregory, John; Wang, R. S. Discrete variable methods for the m-dependent variable, nonlinear extremal problem in the calculus of variations. (English) Zbl 0702.65065 SIAM J. Numer. Anal. 27, No. 2, 470-487 (1990). Reviewer: J.Ramik MSC: 65K10 90C20 49K15 PDF BibTeX XML Cite \textit{J. Gregory} and \textit{R. S. Wang}, SIAM J. Numer. Anal. 27, No. 2, 470--487 (1990; Zbl 0702.65065) Full Text: DOI OpenURL
Simo, J. C.; Honein, T. Variational formulation, discrete conservation laws, and path-domain independent integrals for elasto-viscoplasticity. (English) Zbl 0739.73046 J. Appl. Mech. 57, No. 3, 488-497 (1990). Reviewer: B.D.Reddy (Rondebosch) MSC: 74S30 74P10 74C10 74A20 PDF BibTeX XML Cite \textit{J. C. Simo} and \textit{T. Honein}, J. Appl. Mech. 57, No. 3, 488--497 (1990; Zbl 0739.73046) Full Text: DOI OpenURL
Saunders, D. J. The geometry of jet bundles. (English) Zbl 0665.58002 London Mathematical Society Lecture Note Series, 142. Cambridge etc.: Cambridge University Press. 293 p. £20.00; $ 29.95 (1989). Reviewer: I.Kolář MSC: 58A20 58-02 49Q99 58A15 49S05 PDF BibTeX XML Cite \textit{D. J. Saunders}, The geometry of jet bundles. Cambridge etc.: Cambridge University Press (1989; Zbl 0665.58002) OpenURL
Muñoz Masqué, Jaime The regularity problem in the calculus of variations of second order. (Spanish. English summary) Zbl 0699.49040 Rev. R. Acad. Cienc. Exactas Fís. Nat. Madr. 82, No. 3-4, 541-544 (1988). MSC: 49Q99 58A15 PDF BibTeX XML Cite \textit{J. Muñoz Masqué}, Rev. R. Acad. Cienc. Exactas Fís. Nat. Madr. 82, No. 3--4, 541--544 (1988; Zbl 0699.49040) Full Text: EuDML OpenURL
Olver, Peter J. The equivalence problem and canonical forms for quadratic Lagrangians. (English) Zbl 0654.49002 Adv. Appl. Math. 9, No. 2, 226-257 (1988). Reviewer: W.Velte MSC: 49J10 49K10 74E10 74S30 PDF BibTeX XML Cite \textit{P. J. Olver}, Adv. Appl. Math. 9, No. 2, 226--257 (1988; Zbl 0654.49002) Full Text: DOI OpenURL
Krupka, Demeter Geometry of Lagrangean structures. III. (English) Zbl 0663.58010 Abstract analysis, Proc. 14th Winter Sch., Srni/Czech. 1986, Suppl. Rend. Circ. Mat. Palermo, II. Ser. 14, 187-224 (1987). Reviewer: M.S.Marinov MSC: 37J99 49Q99 58A15 PDF BibTeX XML Full Text: EuDML OpenURL
Tai, Tienmin Variational principles for the linear dynamic theory of micropolar viscoelasticity. (English) Zbl 0623.73026 Progress in applied mechanics, Chien Wei-zang Anniv. Vol., Mech. Surf. Struct. 6, 3-13 (1987). Reviewer: M.C.Dökmeci MSC: 74S30 74D99 74A35 74D05 74D10 PDF BibTeX XML OpenURL
Krupková, Olga Lepagean 2-forms in higher order Hamiltonian mechanics. I: Regularity. (English) Zbl 0637.58002 Arch. Math., Brno 22, 97-120 (1986). Reviewer: Yu.E.Gliklikh MSC: 37J99 70H05 58E30 PDF BibTeX XML Cite \textit{O. Krupková}, Arch. Math., Brno 22, 97--120 (1986; Zbl 0637.58002) Full Text: EuDML OpenURL
Tychinin, V. A. Non-local linearization and exact solutions of the Born-Infeld equation and of some of its generalizations. (Russian) Zbl 0611.35008 Group-theoretical studies on equations of mathematical physics, Collect. sci. Works, Kiev 1985, 54-60 (1985). Reviewer: A.Ciarkowski MSC: 35G20 35C05 PDF BibTeX XML OpenURL
Muñoz Masqué, Jaime Poincaré-Cartan forms in higher order variational calculus on fibred manifolds. (English) Zbl 0606.49026 Rev. Mat. Iberoam. 1, No. 4, 85-126 (1985). Reviewer: J.Chrastina MSC: 49Q99 58A15 58A20 53B05 70H99 PDF BibTeX XML Cite \textit{J. Muñoz Masqué}, Rev. Mat. Iberoam. 1, No. 4, 85--126 (1985; Zbl 0606.49026) Full Text: DOI EuDML OpenURL
Ball, J. M.; Mizel, V. J. One-dimensional variational problems whose minimizers do not satisfy the Euler-Lagrange equation. (English) Zbl 0585.49002 Arch. Ration. Mech. Anal. 90, 325-388 (1985). Reviewer: W.Velte MSC: 49J05 49J15 49K05 49K15 PDF BibTeX XML Cite \textit{J. M. Ball} and \textit{V. J. Mizel}, Arch. Ration. Mech. Anal. 90, 325--388 (1985; Zbl 0585.49002) Full Text: DOI OpenURL
Calabi, Eugenio Extremal Kähler metrics. II. (English) Zbl 0574.58006 Differential geometry and complex analysis, Vol. dedic. H. E. Rauch, 95-114 (1985). Reviewer: J.Girbau MSC: 58E11 53B35 53C55 PDF BibTeX XML OpenURL
Muñoz Masqué, Jaime Canonical Cartan equations for higher order variational problems. (English) Zbl 0599.58018 J. Geom. Phys. 1, No. 2, 1-7 (1984). Reviewer: Z.Guo MSC: 58E30 58A15 PDF BibTeX XML Cite \textit{J. Muñoz Masqué}, J. Geom. Phys. 1, No. 2, 1--7 (1984; Zbl 0599.58018) Full Text: DOI OpenURL
Mei, Feng Xiang; Capodanno, P. Sur les équations du mouvement des systèmes non holonomes de masse variable (On the equations of motion of anholonomic systems with variable mass). (French) Zbl 0575.70028 Rev. Roum. Sci. Tech., Sér. Méc. Appl. 28, 123-137 (1983). Reviewer: G.Brunk MSC: 70P05 PDF BibTeX XML Cite \textit{F. X. Mei} and \textit{P. Capodanno}, Rev. Roum. Sci. Tech., Sér. Méc. Appl. 28, 123--137 (1983; Zbl 0575.70028) 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
Chrastina, Jan A double complex related with a system of partial differential equations. I. (English) Zbl 0539.58001 Arch. Math., Brno 19, 83-97 (1983). MSC: 58A10 58J10 55N35 35R99 PDF BibTeX XML Cite \textit{J. Chrastina}, Arch. Math., Brno 19, 83--97 (1983; Zbl 0539.58001) Full Text: EuDML OpenURL
Mangiarotti, L.; Modugno, M. Some results on the calculus of variations on jet spaces. (English) Zbl 0519.49028 Ann. Inst. Henri Poincaré, Nouv. Sér., Sect. A 39, 29-43 (1983). MSC: 49Q20 49Q99 58A20 58A15 58E30 37J99 PDF BibTeX XML Cite \textit{L. Mangiarotti} and \textit{M. Modugno}, Ann. Inst. Henri Poincaré, Nouv. Sér., Sect. A 39, 29--43 (1983; Zbl 0519.49028) Full Text: Numdam EuDML OpenURL
Jospa, P. Theory of evolving normal modes and the vocal tract. I. Basic relations and adiabatic invariance. (English) Zbl 0513.76075 Acustica 52, 86-94 (1983). MSC: 76Q05 PDF BibTeX XML Cite \textit{P. Jospa}, Acustica 52, 86--94 (1983; Zbl 0513.76075) OpenURL
Chrastina, Jan Another approach to the classical calculus of variations. (English) Zbl 0496.58005 Arch. Math., Brno 18, 205-218 (1982). MSC: 58E30 37J99 58A10 70H05 70H03 49J20 PDF BibTeX XML Cite \textit{J. Chrastina}, Arch. Math., Brno 18, 205--218 (1982; Zbl 0496.58005) Full Text: EuDML OpenURL
Chrastina, Jan On a general problem of the classical calculus of variations. (English) Zbl 0496.58004 Differential geometry and its applications, Proc. Conf. CSSR-GDR-Poland, Nove Mesto na Morave/CSSR 1980, 228-231 (1982). MSC: 58E30 37J99 58A10 70H05 70H03 49J20 PDF BibTeX XML OpenURL
Mansfield, Lois On the solution of the finite element equations for nonlinear shell analysis. (English) Zbl 0488.73080 SIAM J. Sci. Stat. Comput. 3, 447-459 (1982). MSC: 74S05 74K15 49S05 74B20 49M15 PDF BibTeX XML Cite \textit{L. Mansfield}, SIAM J. Sci. Stat. Comput. 3, 447--459 (1982; Zbl 0488.73080) Full Text: DOI OpenURL
Calabi, Eugenio Extremal Kähler metrics. (English) Zbl 0487.53057 Semin. differential geometry, Ann. Math. Stud. 102, 259-290 (1982). MSC: 53C55 58E30 58J60 PDF BibTeX XML OpenURL
Vukobrat, M.; Jaric, J. Noether’s theorem in the linear theory of elastic dielectrics. (English) Zbl 0489.73115 Teor. Primen. Meh. 7, 73-81 (1981). MSC: 74F15 74S30 49S05 PDF BibTeX XML Cite \textit{M. Vukobrat} and \textit{J. Jaric}, Teor. Primen. Meh. 7, 73--81 (1981; Zbl 0489.73115) OpenURL
Szczyrba, Wiktor A Hamiltonian structure of the interacting gravitational and matter fields. (English) Zbl 0473.58011 J. Math. Phys. 22, 1926-1944 (1981). MSC: 37J99 58E30 70H99 PDF BibTeX XML Cite \textit{W. Szczyrba}, J. Math. Phys. 22, 1926--1944 (1981; Zbl 0473.58011) Full Text: DOI OpenURL
Kruzelecki, Jacek Axially symmetric shells of uniform membrane strength as optimal shells. (English) Zbl 0439.73081 Bull. Acad. Pol. Sci., Sér. Sci. Tech. 27, 683-690 (1979). MSC: 74P99 74K15 74K25 PDF BibTeX XML Cite \textit{J. Kruzelecki}, Bull. Acad. Pol. Sci., Sér. Sci. Tech. 27, 683--690 (1979; Zbl 0439.73081) OpenURL
Gregory, John; Wilkerson, Ralph New numerical methods for symmetric differential equations, quadratic extremal problems, and banded matrices: The second order problem. (English) Zbl 0407.65033 Trans. Ill. State Acad. Sci. 71, 222-235 (1978). MSC: 65L05 65K05 65L10 49R50 65-04 PDF BibTeX XML Cite \textit{J. Gregory} and \textit{R. Wilkerson}, Trans. Ill. State Acad. Sci. 71, 222--235 (1978; Zbl 0407.65033) OpenURL
Gregory, John Numerical algorithms for oscillation vectors of second order differential equations including the Euler-Lagrange equation for symmetric tridiagonal matrices. (English) Zbl 0395.65049 Pac. J. Math. 76, 397-406 (1978). MSC: 65L10 34C10 65F15 PDF BibTeX XML Cite \textit{J. Gregory}, Pac. J. Math. 76, 397--406 (1978; Zbl 0395.65049) Full Text: DOI OpenURL