Study of some boundary value problems using variational methods

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Mohamed Boudiaf University of M’sila, Faculty of Mathematics and Computer Science, Department of Mathematics

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In this dissertation, we studied some boundary problems using variational methods, where we gave a variational formulation of this problem, then we used the Lax-Milgram theorem to demonstrate the existence and uniqueness of the solution, i.e., if we have a mathematical problem the classic formulation consists to search for a solution function of this problem.

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