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3 papers
Extremum conditions for functionals involving higher derivatives of several variable vector valued functions
Mahouton Norbert Hounkonnou, Pascal Dkengne Sielenou
This paper addresses both necessary and relevant sufficient extremum conditions for a variational problem defined by a smooth Lagrangian, involving higher derivatives of several va…
Factorization of linear and nonlinear differential operators: necessary and sufficient conditions
Mahouton Norbert Hounkonnou, Pascal Dkengne Sielenou
An algebraic approach for factorizing nonlinear partial differential equations (PDEs) and systems of PDEs is provided. In the particular case of second order linear and nonlinear P…
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…