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| rdf:type
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| Description
| - The chapter is an exposition of the present state of the geometric theory of differential equations on fibred manifolds that are variational, i.e., come as equations for extremals of (generally higher-order and multiple) variational integrals. The following topics are included: Lepage forms and the first variation formula; the variational sequence, local and global aspects; ordinary differential equations in jet bundles: classification problems, structure of solutions, properties of regular equations, symmetries and conservation laws, inverse problem of the calculus of variations; geometric integration methods for variational ordinary differential equations: Noether Theorem, Liouville Theorem, Hamilton-Jacobi Theorems; variational partial differential equations: existence and construction of Lagrangians, Hamiltonian systems, regular variational problems, Hamilton-Jacobi equation and fields of extremals, symmetries and conserved currents.
- The chapter is an exposition of the present state of the geometric theory of differential equations on fibred manifolds that are variational, i.e., come as equations for extremals of (generally higher-order and multiple) variational integrals. The following topics are included: Lepage forms and the first variation formula; the variational sequence, local and global aspects; ordinary differential equations in jet bundles: classification problems, structure of solutions, properties of regular equations, symmetries and conservation laws, inverse problem of the calculus of variations; geometric integration methods for variational ordinary differential equations: Noether Theorem, Liouville Theorem, Hamilton-Jacobi Theorems; variational partial differential equations: existence and construction of Lagrangians, Hamiltonian systems, regular variational problems, Hamilton-Jacobi equation and fields of extremals, symmetries and conserved currents. (en)
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| Title
| - Variational Equations on Manifolds
- Variational Equations on Manifolds (en)
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| skos:prefLabel
| - Variational Equations on Manifolds
- Variational Equations on Manifolds (en)
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| skos:notation
| - RIV/61989592:15310/09:00010555!RIV10-MSM-15310___
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| http://linked.open...avai/riv/aktivita
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| http://linked.open...avai/riv/aktivity
| - P(GA201/09/0981), Z(MSM6198959214)
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| http://linked.open...vai/riv/dodaniDat
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| http://linked.open...aciTvurceVysledku
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| http://linked.open.../riv/druhVysledku
| |
| http://linked.open...iv/duvernostUdaju
| |
| http://linked.open...titaPredkladatele
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| http://linked.open...dnocenehoVysledku
| |
| http://linked.open...ai/riv/idVysledku
| - RIV/61989592:15310/09:00010555
|
| http://linked.open...riv/jazykVysledku
| |
| http://linked.open.../riv/klicovaSlova
| - %22Fibred manifold; system of higher-order differential equations; dynamical form; Lepage form; Lagrangian; inverse problem of the calculus of variations; variational sequence; regular equations; semiregular equations; Euler--Lagrange distribution; Hamiltonian differential system; Hamilton equations; symmetry; first integral; complete integral; Noether theorem; Liouville theorem; Hamilton--Jacobi equation%22 %22Fibred manifold; system of higher-order differential equations; dynamical form; Lepage form; Lagrangian; inverse problem of the calculus of variations; variational sequence; regular equations; semiregular equations; Euler--Lagrange distribution; Hamiltonian differential system; Hamilton equations; symmetry; first integral; complete integral; Noether theorem; Liouville theorem; Hamilton--Jacobi equation%22 %22Fibred manifold; system of higher-order differential equations; dynamical form; Lepage form; Lagrangian; inverse problem of the calculus of variations; variational sequence; regular equations; semir… (en)
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| http://linked.open.../riv/klicoveSlovo
| |
| http://linked.open...ontrolniKodProRIV
| |
| http://linked.open...i/riv/nazevZdroje
| - Advances in Mathematics Research, Vol. 9
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| http://linked.open...in/vavai/riv/obor
| |
| http://linked.open...ichTvurcuVysledku
| |
| http://linked.open...v/pocetStranKnihy
| |
| http://linked.open...cetTvurcuVysledku
| |
| http://linked.open...vavai/riv/projekt
| |
| http://linked.open...UplatneniVysledku
| |
| http://linked.open...iv/tvurceVysledku
| |
| http://linked.open...n/vavai/riv/zamer
| |
| number of pages
| |
| http://purl.org/ne...btex#hasPublisher
| - Nova Science Publishers, USA
|
| https://schema.org/isbn
| |
| http://localhost/t...ganizacniJednotka
| |
| is http://linked.open...avai/riv/vysledek
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