Abstract
We obtain a number of necessary and sufficient strong ellipticity conditions for a functional-differential equation containing, in its leading part, orthotropic contractions of the argument of the unknown function. We establish the unique solvability of the first boundary-value problem and the discreteness, semiboundedness, and sectorial structure of its spectrum.
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Original Russian Text © L. E. Rossovskii, A. L. Tasevich, 2015, published in Matematicheskie Zametki, 2015, Vol. 97, No. 5, pp. 733–748.
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Rossovskii, L.E., Tasevich, A.L. The first boundary-value problem for strongly elliptic functional-differential equations with orthotropic contractions. Math Notes 97, 745–758 (2015). https://doi.org/10.1134/S0001434615050090
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DOI: https://doi.org/10.1134/S0001434615050090