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This article is cited in 3 scientific papers (total in 3 papers)
Functional-differential equations with dilation and symmetry
L. E. Rossovskiia, A. A. Tovsultanovb a Peoples' Friendship University of Russia, Moscow
b Chechen State University, Grozny
Abstract:
We examine the Dirichlet problem in a bounded plane domain for a strongly elliptic functional-differential equation of the second order containing the argument transformations $x\mapsto px$ ($p>0$) and $x\mapsto-x$ in higher-order derivatives. The study of solvability of the problem relies on a Gårding-type inequality for which some necessary and sufficient conditions are obtained in algebraic form.
Keywords:
elliptic functional-differential equation, boundary value problem, Gårding-type inequality.
Received: 26.09.2021 Revised: 09.04.2022 Accepted: 15.04.2022
Citation:
L. E. Rossovskii, A. A. Tovsultanov, “Functional-differential equations with dilation and symmetry”, Sibirsk. Mat. Zh., 63:4 (2022), 911–923; Siberian Math. J., 63:4 (2022), 758–768
Linking options:
https://www.mathnet.ru/eng/smj7703 https://www.mathnet.ru/eng/smj/v63/i4/p911
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Abstract page: | 123 | Full-text PDF : | 32 | References: | 19 | First page: | 9 |
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