Control problems for linear functional differential systems. Constructive approach, computer-assisted study, applications
Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, Tome 36 (2006) no. 2, pp. 73-78.

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The general control problem for linear functional differential systems is considered. A technique of the computer–assisted study in the form of the so called Reliable Computing Experiment is described.
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V. P. Maksimov. Control problems for linear functional differential systems. Constructive approach, computer-assisted study, applications. Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, Tome 36 (2006) no. 2, pp. 73-78. http://geodesic.mathdoc.fr/item/IIMI_2006_36_2_a16/

[1] Azbelev N. V., Maksimov V. P., Rakhmatullina L. F., Vvedenie v teoriyu funktsionalno-differentsialnykh uravnenii. Metody i prilozheniya, In-t kompyuter. issl., M., 2002, 384 pp.

[2] Rumyantsev A. N., Dokazatelnyi vychislitelnyi eksperiment v issledovanii kraevykh zadach, Izd-vo Perm. un-ta, Perm, 1999, 174 pp.

[3] Maksimov V. P., “Arifmetika ratsionalnykh chisel i kompyuternoe issledovanie integralnykh uravnenii”, Sorosovskii Obrazovatelnyi Zhurnal, 1999, no. 3, 121–126 | MR | Zbl

[4] Anokhin A. V., “O lineinykh impulsnykh sistemakh dlya funktsionalno–differentsialnykh uravnenii”, Dokl. AN SSSR, 286:5 (1986), 1037–1040 | MR | Zbl

[5] Kolchanov A. P., Rumyantsev A. N., “Zadacha optimalnogo upravleniya finansovymi resursami kommercheskogo banka i konstruktivnyi metod ee resheniya”, Vestn. Nizhegorod. un-ta. Ser. Mat. modelirovanie i optimalnoe upravlenie, 2005, no. 2(29), 124–131

[6] Maksimov P. V., “Modelirovanie i vychislitelnyi eksperiment v zadache bankovskogo kreditovaniya programmy razvitiya mnogootraslevoi proizvodstvennoi sistemy”, Sovremennye problemy prikladnoi matematiki i matematicheskogo modelirovaniya, Tez. dokl. mezhdunar. konf., Voronezh. gos. un-t, Voronezh, 2005, 11

[7] Maksimov V. P., Fadeeva L. N., “K zadache o dostizhimosti pokazatelei ekonomicheskogo razvitiya”, Razvitie ekonomiko–matematicheskogo modelirovaniya, Sb. nauch. tr., Izd-vo Mosk. un-ta, M., 2005, 61–70