{"title":"The Darboux-Stefan problems with nonlocal conditions for one-dimensional hyperbolic equations and systems","authors":"Volodymyr Kyrylych, Olha Milchenko","doi":"10.30970/vmm.2021.92.099-110","DOIUrl":null,"url":null,"abstract":"Boundary value problems with nonlocal conditions (undivided and integral) for a strictly hyperbolic equation of arbitrary order and a system of hyperbolic equations of the (cid:28)rst order in the case of a degenerate initial condition interval to a point are considered, the case where the boundaries of the domain are unknown ahead is also considered.","PeriodicalId":277870,"journal":{"name":"Visnyk Lvivskogo Universytetu Seriya Mekhaniko-Matematychna","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Visnyk Lvivskogo Universytetu Seriya Mekhaniko-Matematychna","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.30970/vmm.2021.92.099-110","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
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Abstract
Boundary value problems with nonlocal conditions (undivided and integral) for a strictly hyperbolic equation of arbitrary order and a system of hyperbolic equations of the (cid:28)rst order in the case of a degenerate initial condition interval to a point are considered, the case where the boundaries of the domain are unknown ahead is also considered.
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