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 PDFBibTeX XMLCite \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
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 PDFBibTeX XMLCite \textit{P. Popescu} and \textit{M. Popescu}, BSG Proc. 22, 69--74 (2015; Zbl 1350.49034)
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 PDFBibTeX XMLCite \textit{S. Treanţă}, Sci. Bull., Ser. A, Appl. Math. Phys., Politeh. Univ. Buchar. 76, No. 1, 163--168 (2014; Zbl 1374.70041)
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 PDFBibTeX XMLCite \textit{P. Popescu}, J. Geom. Phys. 77, 113--130 (2014; Zbl 1282.70032) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{Y. B. Suris}, J. Geom. Mech. 5, No. 3, 365--379 (2013; Zbl 1330.37057) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{P. Popescu} and \textit{M. Popescu}, Balkan J. Geom. Appl. 17, No. 2, 82--91 (2012; Zbl 1357.70019) Full Text: EMIS
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 PDFBibTeX XMLCite \textit{M. Havelková}, Commun. Math. 20, No. 1, 23--32 (2012; Zbl 1271.70029) Full Text: Link
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 PDFBibTeX XMLCite \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
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 PDFBibTeX XMLCite \textit{D. Krupka} et al., Int. J. Geom. Methods Mod. Phys. 7, No. 4, 631--654 (2010; Zbl 1194.49069) Full Text: DOI
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 PDFBibTeX XMLCite \textit{M. Mabrouk}, Nonlinear Dyn. 60, No. 1--2, 87--98 (2010; Zbl 1189.70129) Full Text: DOI
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 PDFBibTeX XMLCite \textit{R. Malíková}, Acta Math. Univ. Ostrav. 17, No. 1, 11--21 (2009; Zbl 1238.58001) Full Text: EuDML Link
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 PDFBibTeX XMLCite \textit{O. Krupková} and \textit{D. Smetanová}, J. Nonlinear Math. Phys. 16, No. 2, 235--250 (2009; Zbl 1170.58006) Full Text: DOI
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 PDFBibTeX XMLCite \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)
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 PDFBibTeX XMLCite \textit{D. Krupka} and \textit{O. Krupková}, Acta Appl. Math. 101, No. 1--3, 163--176 (2008; Zbl 1147.70009) Full Text: DOI
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 PDFBibTeX XMLCite \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)
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 PDFBibTeX XMLCite \textit{M. Ciobanu} and \textit{V. Obădeanu}, Tensor, New Ser. 66, No. 2, 131--136 (2005; Zbl 1125.70011)
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 PDFBibTeX XMLCite \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)
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 PDFBibTeX XMLCite \textit{R. A. El-Nabulsi}, Int. J. Appl. Math. 17, No. 4, 369--383 (2005; Zbl 1177.70022)
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 PDFBibTeX XMLCite \textit{J. Šeděnková}, AIP Conf. Proc. 729, 281--288 (2004; Zbl 1117.58001)
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 PDFBibTeX XMLCite \textit{J. Monterde} and \textit{J. Muñoz Masqué}, Int. J. Theor. Phys. 41, No. 3, 429--458 (2002; Zbl 1106.37307) Full Text: DOI
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 PDFBibTeX XMLCite \textit{O. Krupková} and \textit{D. Smetanová}, Lett. Math. Phys. 58, No. 3, 189--204 (2001; Zbl 1005.70025) Full Text: DOI arXiv
Martínez, Eduardo Lagrangian mechanics on Lie algebroids. (English) Zbl 1002.70013 Acta Appl. Math. 67, No. 3, 295-320 (2001). MSC: 70H03 70G45 70G60 PDFBibTeX XMLCite \textit{E. Martínez}, Acta Appl. Math. 67, No. 3, 295--320 (2001; Zbl 1002.70013) Full Text: DOI
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 PDFBibTeX XMLCite \textit{P. Iglesias}, Symétries et moment. Paris: Hermann (2001; Zbl 0982.70001)
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 PDFBibTeX XMLCite \textit{A. D. Lewis}, Ann. Henri Poincaré 1, No. 3, 569--605 (2000; Zbl 0969.70014) Full Text: DOI
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 PDFBibTeX XMLCite \textit{E. Massa} et al., Transp. Theory Stat. Phys. 29, No. 1--2, 69--91 (2000; Zbl 0968.70014) Full Text: DOI
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 PDFBibTeX XMLCite \textit{P. Grimaldi}, J. Math. Chem. 24, No. 1--3, 71--78 (1998; Zbl 0919.70010) Full Text: DOI
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 PDFBibTeX XMLCite \textit{O. Krupková}, Math. Bohem. 122, No. 3, 257--265 (1997; Zbl 0897.58024) Full Text: EuDML
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 PDFBibTeX XMLCite \textit{D. Krupka}, Calc. Var. Partial Differ. Equ. 5, No. 6, 557--583 (1997; Zbl 0892.58001) Full Text: DOI
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 PDFBibTeX XMLCite \textit{O. Krupková}, The geometry of ordinary variational equations. Berlin: Springer (1997; Zbl 0936.70001) Full Text: DOI
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 PDFBibTeX XMLCite \textit{O. Krupková}, J. Geom. Phys. 18, No. 1, 38--58 (1996; Zbl 0870.58025) Full Text: DOI
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 PDFBibTeX XMLCite \textit{D. Krupka}, Lectures on variational sequences. Opava: Open Education \& Sciences (1995; Zbl 0940.58012)
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 PDFBibTeX XMLCite \textit{D. R. Grigore}, Rom. J. Phys. 39, No. 1, 11--35 (1994; Zbl 0848.70012) Full Text: arXiv
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 PDFBibTeX XMLCite \textit{M. de León} and \textit{P. R. Rodrigues}, Inverse Probl. 8, No. 4, 525--540 (1992; Zbl 0754.53025) Full Text: DOI
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 PDFBibTeX XMLCite \textit{J. F. Cariñena} and \textit{C. López}, Rev. Math. Phys. 3, No. 4, 379--401 (1991; Zbl 0747.70013) Full Text: DOI
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 PDFBibTeX XMLCite \textit{O. Krupková}, Arch. Math., Brno 22, 97--120 (1986; Zbl 0637.58002) Full Text: EuDML
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 PDFBibTeX XMLCite \textit{J. Muñoz Masqué}, Rev. Mat. Iberoam. 1, No. 4, 85--126 (1985; Zbl 0606.49026) Full Text: DOI EuDML
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 PDFBibTeX XMLCite \textit{F. X. Mei} and \textit{P. Capodanno}, Rev. Roum. Sci. Tech., Sér. Méc. Appl. 28, 123--137 (1983; Zbl 0575.70028)
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 PDFBibTeX XMLCite \textit{J. Chrastina}, Arch. Math., Brno 18, 205--218 (1982; Zbl 0496.58005) Full Text: EuDML
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 PDFBibTeX XML
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 PDFBibTeX XMLCite \textit{W. Szczyrba}, J. Math. Phys. 22, 1926--1944 (1981; Zbl 0473.58011) Full Text: DOI