ON THE INVERSE PROBLEM IN CALCULUS OF VARIATIONS

Applied Mathematics and Mechanics (English Edition) ›› 1994, Vol. 15 ›› Issue (9): 815-829.

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ON THE INVERSE PROBLEM IN CALCULUS OF VARIATIONS

Liang Li-fu, shi zhi-fei

Hurbin Shiphuilding Enginieering Institule, Harbin

Received:1994-04-01 Online:1994-09-18 Published:1994-09-18

Abstract

Abstract: The inverse problem in calculus of variation is studied. By introducing a newconcept called Varialional Integral, a new method to systematically study the inverseproblem in calculus of rariations is given. Using this new method to the elastodynamicsand hydrodynamics of viscous fhuids some kinds of variaiional principles andgeneralized variational prineiples are obtained respectively.

Key words: uncertain structures, response, reliability, generalizedprobabilistic perturbation method, variational princple, variational integral, inverse problem

Liang Li-fu;shi zhi-fei . ON THE INVERSE PROBLEM IN CALCULUS OF VARIATIONS. Applied Mathematics and Mechanics (English Edition), 1994, 15(9): 815-829.

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ON THE INVERSE PROBLEM IN CALCULUS OF VARIATIONS

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