Inverse problem of the calculus of variations for systems of differential-difference equations of second order

The inverse problem of the calculus of variations for second-order nonlinear and linear systems of differential-difference equations is considered. The relationship between the formal potentiality of a linear system with constant coefficients and the parity of its characteristic function is established.

Authors
Number of issue
5-6
Language
English
Pages
687-691
Status
Published
Volume
72
Year
2002
Organizations
  • 1 Peoples' Friendship University of Russia, Russian Federation
Keywords
Differential-difference equations; Helmholtz conditions; Inverse problem of the calculus of variations; Potential operators
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