Speciality:
01.01.02 (Differential equations, dynamical systems, and optimal control)
E-mail:
Keywords: inverse problem,
nonlocal problem,
theory transport.
Subject: - inverse and nonlocal problems of mathematical physics;
- mathematical problems of the theory of heat conductivity and transport
Main publications:
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Tikhonov I.V., Vu Nguen Shon Tung, “Formuly yavnogo resheniya v modelnoi nelokalnoi zadache dlya uravneniya prostogo perenosa”, Annotatsiya: Izuchaetsya spetsialnaya nelokalnaya zadacha dlya mnogomernogo uravneniya prostogo perenosa. V kachestve dopolnitelnogo usloviya vzyat integral, vyrazhayuschii srednee po vremeni. Ustanovlena teorema suschestvovaniya i edinstvennosti resheniya. Pokazano, chto reshenie nakhoditsya konstruktivno, v yavnom vide, za konechnoe chislo iteratsii. Razrabotannyi apparat budet vostrebovan v dalneishikh issledovaniyakh nelokalnykh zadach dlya obschego mnogomernogo uravneniya perenosa., Matematicheskie zametki SVFU, 24:1 (2017), 57–73 "\href{https://s-vfu.ru/universitet/rukovodstvo-i-struktura/instituty/niim/mzsvfu/issues/2017-1/57-73.pdf}"
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Tikhonov I.V., Vu Nguen Shon Tung, “Metod resheniya obratnoi zadachi dlya evolyutsionnogo uravneniya s superustoichivoi polugruppoi”, Annotatsiya: V nastoyaschem soobschenii dano rasshirennoe izlozhenie doklada, sdelannogo na nauchnoi konferentsii «Gertsenovskie chteniya — 2017». Izuchaetsya lineinaya obratnaya zadacha dlya evolyutsionnogo uravneniya v banakhovom prostranstve. Nuzhno vosstanovit neizvestnoe neodnorodnoe slagaemoe. Dopolnitelnaya informatsiya zadana v vide nelokalnogo usloviya, zapisannogo cherez integral Rimana-Stiltesa. Dlya provedeniya issledovaniya vvoditsya spetsialnoe predpolozhenie, svyazannoe s superustoichivostyu (kvazinilpotentnostyu) evolyutsionnoi polugruppy. Pokazano, chto togda reshenie obratnoi zadachi predstavimo skhodyaschimsya ryadom Neimana. Tem samym, ustanovlen konstruktivnyi metod dlya nakhozhdeniya resheniya. Otdelno vydelen sluchai, kogda beskonechnyi ryad Neimana obraschaetsya v konechnuyu summu. Rassmotren modelnyi primer obratnoi zadachi s finalnym pereopredeleniem., Differentsialnye uravneniya i protsessy upravleniya, 2017, no. 2, 51–58 \href{http://www.math.spbu.ru/diffjournal/pdf/tikhonov_tung.pdf}
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