advances in analysis vol 2 no 3 july 2017 196 https dx doi org 10 22606 aan 2017 23005 on the exact inverse problem of the calculus of variations 1 ...
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...Advances in analysis vol no july https dx doi org aan on the exact inverse problem of calculus variations veronika chrastinova and vaclav tryhuk brno university technology faculty civil engineering department mathematics vevei czech republic email v fce vutbr cz admas centre purkyova outlook com abstract article is devoted to whether or not a given system dierential equations identical with euler lagrange an appropriate variational integral actual theories which rest helmholz solvability condition local tonti formula are revised quite elementary approach applied then turns into easy matter together unexpected consequence solution incomplete since does give economical new direct even global proposed for determination all rst order integrals related second it employs bered de rham theory where multiple valued ramied solutions included as well certain interest also nonspecialists keywords expression divergence informally concerns indication hidden extremality principles undoubtedly belong...