Chapter 2 The Sonin – Douglas Problem
نویسنده
چکیده
known as the inverse problem of the calculus of variations for the system (2.1). For historical reasons, we also refer to this problem as the Sonin–Douglas problem; Eq. (2.2) are called theSonin–Douglas equations. Having inmind the correspondence with classicalmechanics,we sometimes call the system F = (F1, . . . , Fm) the force. The functions g jk are called variational multipliers. If the function L exists, it is a Lagrangian for the Eq. (2.2). Denoting
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The Sonin – Douglas Problem
known as the inverse problem of the calculus of variations for the system (2.1). For historical reasons, we also refer to this problem as the Sonin–Douglas problem; Eq. (2.2) are called theSonin–Douglas equations. Having inmind the correspondence with classicalmechanics,we sometimes call the system F = (F1, . . . , Fm) the force. The functions g jk are called variational multipliers. If the fun...
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