Abstract
The inverse problem in calculus of variations is studied. By introducing a new concept called Variational Integral, a new method to systematically study the inverse problem in calculus of variations is given. Using this new method to the elastodynamics and hydrodynamics of viscous fluids, some kinds of variational principles and generalized variational principles are obtained respectively.
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Communicated by Chien Wei-zang
First Received Apr. 1, 1991
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Li-fu, L., Zhi-fei, S. On the inverse problem in calculus of variations. Appl Math Mech 15, 815–829 (1994). https://doi.org/10.1007/BF02451631
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DOI: https://doi.org/10.1007/BF02451631