A boundary value problem for an elliptic functional-differential equation with contraction and dilatation of the arguments of the desired function in the leading part is considered in a starshaped bounded domain. Estimates for the modification of eigenvalues of the operator of the problem under internal deformations of the domain are obtained. © 2011 Pleiades Publishing, Ltd
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We consider the problem of finding estimates for the variation of the eigenvalues of partial differe...
The paper is pertaining to the spectral theory of operators and boundary value problems for differen...
Let M be a compact Riemannian manifold, possibly with non-empty boundary partial M, let Cal{A} be a ...
Stability of the eigenfunctions of nonnegative selfadjoint second-order linear elliptic operators su...
We investigate the interplay between the geometry, boundary conditions and spectral properties of th...
The survey is devoted to spectral stability problems for uniformly elliptic differential operators u...
The “commensurability” of transformations has been a crucial assumption in the study of solvability ...
We study the dependence of the eigenvalues of the p-Laplacian upon domain perturbation. We prove Lip...
The functional-differential equations (FDE) in the Hilbert space have been studied on base of the sp...
We study the eigenvalue problem for the Neumann–Laplace operator in conformal regular planar domains...
The survey is devoted to spectral stability problems for uniformly elliptic differential operators u...
We give a practical tool to control the L∞-norm of the Steklov eigenfunctions in a Lipschitz domain ...