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On the generalized Helmholtz conditions for Lagrangian systems with dissipative forces

Michael Crampin (UGent) , Tom Mestdag (UGent) and Willy Sarlet (UGent)
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Abstract
In two recent papers necessary and sufficient conditions for a given system of second-order ordinary differential equations to be of Lagrangian form with additional dissipative forces were derived. We point out that these conditions are not independent and prove a stronger result accordingly.
Keywords
EXISTENCE, Helmholtz conditions., dissipative forces, Lagrangian systems, inverse problem

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Citation

Please use this url to cite or link to this publication:

Chicago
Crampin, Michael, Tom Mestdag, and Willy Sarlet. 2010. “On the Generalized Helmholtz Conditions for Lagrangian Systems with Dissipative Forces.” Zamm-zeitschrift Fur Angewandte Mathematik Und Mechanik 90 (6): 502–508.
APA
Crampin, Michael, Mestdag, T., & Sarlet, W. (2010). On the generalized Helmholtz conditions for Lagrangian systems with dissipative forces. ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 90(6), 502–508.
Vancouver
1.
Crampin M, Mestdag T, Sarlet W. On the generalized Helmholtz conditions for Lagrangian systems with dissipative forces. ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK. 2010;90(6):502–8.
MLA
Crampin, Michael, Tom Mestdag, and Willy Sarlet. “On the Generalized Helmholtz Conditions for Lagrangian Systems with Dissipative Forces.” ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK 90.6 (2010): 502–508. Print.
@article{1055293,
  abstract     = {In two recent papers necessary and sufficient conditions for a given system of second-order ordinary differential equations to be of Lagrangian form with additional dissipative forces were derived. We point out that these conditions are not independent and prove a stronger result accordingly.},
  author       = {Crampin, Michael and Mestdag, Tom and Sarlet, Willy},
  issn         = {0044-2267},
  journal      = {ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK},
  keyword      = {EXISTENCE,Helmholtz conditions.,dissipative forces,Lagrangian systems,inverse problem},
  language     = {eng},
  number       = {6},
  pages        = {502--508},
  title        = {On the generalized Helmholtz conditions for Lagrangian systems with dissipative forces},
  url          = {http://dx.doi.org/10.1002/zamm.200900327},
  volume       = {90},
  year         = {2010},
}

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