Geodesic
On the Spectral Stability of Functional-Differential Equations
Matematičeskie zametki, Tome 90 (2011) no. 6, pp. 885-901.

Voir la notice de l'article provenant de la source Math-Net.Ru

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, star-shaped domain, Sobolev space, sesquilinear form, Hilbert–Schmidt theorem, Riesz theorem, Hermitian form, Banach algebra.
Mots-clés : contraction and dilatation, internal perturbation of a domain 
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L. E. Rossovskii. On the Spectral Stability of Functional-Differential Equations. Matematičeskie zametki, Tome 90 (2011) no. 6, pp. 885-901. http://geodesic.mathdoc.fr/item/MZM_2011_90_6_a6/

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