Dirichlet solutions of functional differential equations without delay
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 165 (2023) no. 2, pp. 132-142

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Necessary and sufficient conditions for the existence of a valid Dirichlet solution were obtained. A method was developed to find Dirichlet solutions of the functional differential equation with non-delayed linear argument deviation.
Keywords: functional differential equation, Dirichlet solution, advance of the argument, linear deviation of the argument, pseudo-differential operator symbol.
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     title = {Dirichlet solutions of functional differential equations without delay},
     journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
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     url = {http://geodesic.mathdoc.fr/item/UZKU_2023_165_2_a2/}
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N. P. Evlampiev; V. S. Mokeichev; I. E. Filippov. Dirichlet solutions of functional differential equations without delay. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 165 (2023) no. 2, pp. 132-142. http://geodesic.mathdoc.fr/item/UZKU_2023_165_2_a2/