• Prof. Bashir Nour Kharrat
• Dec 31, 2007

Modeling of a Boundary Value Problem with periodic mixed type of Boundary Conditions

The aim of this paper is to study the Eigenvalueproblems with periodic boundary conditions. Dealing with the variational formulation, we prove the existence of the Eigenvalues and eigenvectors corresponding to mechanical structure, which is fixed punctually. The asymptotic expansions is used to derive the first correction term and the homogenized eigenvalue problem corresponding to an entirely clamped structure. Keywords:Eigenvalueproblems,periodic boundary conditions, Boundary value problem ,Approximate solutions, homogenization theory,

app.published_in

• R.J.of Aleppo University, Basic Science Series, No58 - 2007