Variational solutions of stationary Hamilton-Jacobi equations.
Iftode, Vasile (2001)
Balkan Journal of Geometry and its Applications (BJGA)
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Iftode, Vasile (2001)
Balkan Journal of Geometry and its Applications (BJGA)
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Stanisław L. Bażański (2003)
Banach Center Publications
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Śladkowska, Janina (2015-11-13T13:54:55Z)
Acta Universitatis Lodziensis. Folia Mathematica
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Jan Sokołowski (1987)
Banach Center Publications
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Peter Kosmol, Dieter Müller-Wichards (2004)
Colloquium Mathematicae
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We describe an approach to variational problems, where the solutions appear as pointwise (finite-dimensional) minima for fixed t of the supplemented Lagrangian. The minimization is performed simultaneously with respect to the state variable x and ẋ, as opposed to Pontryagin's maximum principle, where optimization is done only with respect to the ẋ-variable. We use the idea of the equivalent problems of Carathéodory employing suitable (and simple) supplements to the original minimization...
Francaviglia, Mauro, Palese, Marcella
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Summary: We provide a geometric interpretation of generalized Jacobi morphisms in the framework of finite order variational sequences. Jacobi morphisms arise classically as an outcome of an invariant decomposition of the second variation of a Lagrangian. Here they are characterized in the context of generalized Lagrangian symmetries in terms of variational Lie derivatives of generalized Euler-Lagrange morphisms. We introduce the variational vertical derivative and stress its link with...
Renate McLaughlin (1973)
Colloquium Mathematicae
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Jean Ollagnier, Didier Pinchon (1982)
Studia Mathematica
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Alain Damlamian (1985)
Banach Center Publications
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Krupka, D. (2006)
Lobachevskii Journal of Mathematics
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Václav Tryhuk, Veronika Chrastinová (2018)
Mathematica Bohemica
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The Routh reduction of cyclic variables in the Lagrange function and the Jacobi-Maupertuis principle of constant energy systems are generalized. The article deals with one-dimensional variational integral subject to differential constraints, the Lagrange variational problem, that admits the Lie group of symmetries. Reduction to the orbit space is investigated in the absolute sense relieved of all accidental structures. In particular, the widest possible coordinate-free approach to the...
Konnov, Igor V. (1999)
Lobachevskii Journal of Mathematics
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Jochen W. Schmidt (1990)
Banach Center Publications
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