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  • Helmholtz conditions in the calculus of variations are necessary and sufficient cinditions for a system of differential equations to be variational ?as it stands?. It is known that this property geometrically means that the corresponding dynamical form representing the equations (i.e. a source form of degree n+1 in the variational sequence) can be completed to closed form. We study an analogous property for source forms of degree 3 in mechanics (n=1).
  • Helmholtz conditions in the calculus of variations are necessary and sufficient cinditions for a system of differential equations to be variational ?as it stands?. It is known that this property geometrically means that the corresponding dynamical form representing the equations (i.e. a source form of degree n+1 in the variational sequence) can be completed to closed form. We study an analogous property for source forms of degree 3 in mechanics (n=1). (en)
Title
  • On a Generalization of Helmholtz Conditions
  • On a Generalization of Helmholtz Conditions (en)
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  • On a Generalization of Helmholtz Conditions
  • On a Generalization of Helmholtz Conditions (en)
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  • RIV/61988987:17310/09:A1000WKW!RIV10-MSM-17310___
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  • Lagrangian; Euler-Lagrange form; dynamical form; Helmholtz-type form; Hlemholtz form; Helmholtz conditions (en)
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