Abstract:
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 star-shaped bounded domain. Estimates for the modification of eigenvalues of the operator of the problem under internal deformations of the domain are obtained.
Keywords:elliptic functional-differential equation, boundary value problem, contraction and dilatation, star-shaped domain, internal perturbation of a domain, Sobolev space, sesquilinear form, Hilbert–Schmidt theorem, Riesz theorem, Hermitian form, Banach algebra.
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