{"title":"线性偏微分方程组的两点问题","authors":"M. Symotiuk","doi":"10.31861/bmj2019.02.086","DOIUrl":null,"url":null,"abstract":"The problem with two nodes on the selected variable $t$ and periodicity conditions in other coordinates $x_1,\\ldots,x_p$ for linear partial differential equations is investigated. The conditions of solvability problem in the spaces of smooth functions with exponential behavior of Fourier coefficients are established. The estimates for characteristic determinants of the problem are proved.","PeriodicalId":196726,"journal":{"name":"Bukovinian Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"TWO-POINT PROBLEM FOR LINEAR SYSTEMS OF PARTIAL DIFFERENTIAL EQUATIONS\",\"authors\":\"M. Symotiuk\",\"doi\":\"10.31861/bmj2019.02.086\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The problem with two nodes on the selected variable $t$ and periodicity conditions in other coordinates $x_1,\\\\ldots,x_p$ for linear partial differential equations is investigated. The conditions of solvability problem in the spaces of smooth functions with exponential behavior of Fourier coefficients are established. The estimates for characteristic determinants of the problem are proved.\",\"PeriodicalId\":196726,\"journal\":{\"name\":\"Bukovinian Mathematical Journal\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Bukovinian Mathematical Journal\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.31861/bmj2019.02.086\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Bukovinian Mathematical Journal","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.31861/bmj2019.02.086","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
TWO-POINT PROBLEM FOR LINEAR SYSTEMS OF PARTIAL DIFFERENTIAL EQUATIONS
The problem with two nodes on the selected variable $t$ and periodicity conditions in other coordinates $x_1,\ldots,x_p$ for linear partial differential equations is investigated. The conditions of solvability problem in the spaces of smooth functions with exponential behavior of Fourier coefficients are established. The estimates for characteristic determinants of the problem are proved.
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