Abstract
We consider the boundary value problem and spectral problem for the Laplace operator with the homogeneous Dirichlet condition on a small part of the boundary and the Fourier or Steklov condition on the remaining part of the boundary. We formulate the limit problem and prove the convergence of solutions, eigenvalues, and eigenfunctions of the original problem to solutions, eigenvalues, and eigenfunctions of the limit problem. Bibliography :2 4titles.
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