Abstract:
A survey of the theory of functional differential equations developed by participants of the Perm Seminar is presented. Examples of new approaches to some classical problems are demonstrated.
Keywords:
functional differential equations, boundary value problems, variational problems, asymptotical behavior of solutions.
Citation:
N. V. Azbelev, V. P. Maksimov, P. M. Simonov, “Functional differential equations and their applications”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2009, no. 1, 3–23
\Bibitem{AzbMakSim09}
\by N.~V.~Azbelev, V.~P.~Maksimov, P.~M.~Simonov
\paper Functional differential equations and their applications
\jour Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki
\yr 2009
\issue 1
\pages 3--23
\mathnet{http://mi.mathnet.ru/vuu1}
\crossref{https://doi.org/10.20537/vm090101}
\elib{https://elibrary.ru/item.asp?id=12867773}
Linking options:
https://www.mathnet.ru/eng/vuu1
https://www.mathnet.ru/eng/vuu/y2009/i1/p3
This publication is cited in the following 7 articles:
G. E. Abduragimov, “Existence and uniqueness of a positive solution to a boundary value problem for a second order functional-differential equation”, Russian Math. (Iz. VUZ), 65:12 (2021), 1–5
V. P. Maksimov, “K otsenke znachenii lineinykh funktsionalov na resheniyakh sistem s posledeistviem”, Vestnik rossiiskikh universitetov. Matematika, 25:131 (2020), 274–283
G. E. Abduragimov, “Existence and uniqueness of positive solution to a boundary value problem for a nonlinear second order functional-differential equation”, Russian Math. (Iz. VUZ), 64:12 (2020), 1–5
Yarka U., Fedushko S., Vesely P., “the Dirichlet Problem For the Perturbed Elliptic Equation”, Mathematics, 8:12 (2020), 2108
E. S. Zhukovskii, Kh. M. T. Takhir, “Sravnenie reshenii kraevykh zadach dlya lineinykh funktsionalno-differentsialnykh uravnenii”, Vestn. Udmurtsk. un-ta. Matem. Mekh. Kompyut. nauki, 28:3 (2018), 284–292
M. B. Ermolaev, P. M. Simonov, “Priznaki ustoichivosti odnogo klassa avtonomnykh differentsialnykh «psevdolineinykh» uravnenii pervogo poryadka s avtoreguliruemym zapazdyvaniem”, Zhurnal SVMO, 19:2 (2017), 31–52