A mixed problem for the heat equation with advanced time in boundary conditions
Yusif Abulfat oglu Mammadov, Hikmet Inshalla oglu Ahmadov · Russian Mathematics · 2020
ÓÑËÎÂÈßÕÀííîòàöèÿ.Èññëåäóåòñÿ îäíîìåðíàÿ ñìåøàííàÿ çàäà÷à äëÿ óðàâíåíèÿ òåïëîïðîâîäíîñòè ñî ñìåùåíèåì âðåìåíè â íåëîêàëüíûõ è íåñàìîñîïðÿæåííûõ ãðàíè÷íûõ óñëîâèÿõ, îïèñûâàþùàÿ ðåàëüíûé ôèçè÷åñêèé ïðîöåññ.Ïðè ìèíèìàëüíûõ óñëîâèÿõ íà íà÷àëüíûå äàííûå äîêàçàíà îäíîçíà÷íàÿ ðàçðåøèìîñòü è ïîëó÷åíî ÿâíîå ïðåäñòàâëåíèå äëÿ ðåøåíèÿ çàäà÷è.