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math.AP2010
Conservation laws for under determined systems of differential equations
Mahouton Norbert Hounkonnou, Pascal Dkengne Sielenou
This work extends the Ibragimov's conservation theorem for partial differential equations [{\it J. Math. Anal. Appl. 333 (2007 311-328}] to under determined systems of differential…
math.AP2010
General second order conditions for extrema of functionals
Mahouton Norbert Hounkonnou, Pascal Dkengne Sielenou
We prove both necessary and sufficient second order conditions of extrema for variational problems involving any higher order continuously twice differentiable Lagrangians with mul…