Pub Date : 2023-08-22DOI: 10.18500/1816-9791-2023-23-3-286-310
I. Boykov, V. Ryazantsev
{"title":"On the iterative method for solution of direct and inverse problems for parabolic equations","authors":"I. Boykov, V. Ryazantsev","doi":"10.18500/1816-9791-2023-23-3-286-310","DOIUrl":"https://doi.org/10.18500/1816-9791-2023-23-3-286-310","url":null,"abstract":"","PeriodicalId":42789,"journal":{"name":"Izvestiya of Saratov University Mathematics Mechanics Informatics","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2023-08-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77925588","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-08-22DOI: 10.18500/1816-9791-2023-23-3-357-369
V. N. Hoang, V. Provotorov
{"title":"Stability of three-layer differential-difference schemes with weights in the space of summable functions with supports in a network-like domain","authors":"V. N. Hoang, V. Provotorov","doi":"10.18500/1816-9791-2023-23-3-357-369","DOIUrl":"https://doi.org/10.18500/1816-9791-2023-23-3-357-369","url":null,"abstract":"","PeriodicalId":42789,"journal":{"name":"Izvestiya of Saratov University Mathematics Mechanics Informatics","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2023-08-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78875214","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-08-22DOI: 10.18500/1816-9791-2023-23-3-348-356
A. Stash, N. A. Loboda
{"title":"On the question of the residual of strong exponents of oscillation on the set of solutions of third-order differential equations","authors":"A. Stash, N. A. Loboda","doi":"10.18500/1816-9791-2023-23-3-348-356","DOIUrl":"https://doi.org/10.18500/1816-9791-2023-23-3-348-356","url":null,"abstract":"","PeriodicalId":42789,"journal":{"name":"Izvestiya of Saratov University Mathematics Mechanics Informatics","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2023-08-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81542588","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-08-22DOI: 10.18500/1816-9791-2023-23-3-370-410
V. Karpov, P. A. Bakusov, A. Maslennikov, A. Semenov
{"title":"Simulation models and research algorithms of thin shell structures deformation Part I. Shell deformation models","authors":"V. Karpov, P. A. Bakusov, A. Maslennikov, A. Semenov","doi":"10.18500/1816-9791-2023-23-3-370-410","DOIUrl":"https://doi.org/10.18500/1816-9791-2023-23-3-370-410","url":null,"abstract":"","PeriodicalId":42789,"journal":{"name":"Izvestiya of Saratov University Mathematics Mechanics Informatics","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2023-08-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89369229","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-08-22DOI: 10.18500/1816-9791-2023-23-3-278-285
T. Belkina, A. S. Ogareva
{"title":"Risky investments and survival probability in the insurance model with two-sided jumps: Problems for integrodifferential equations and ordinary differential equation and their equivalence","authors":"T. Belkina, A. S. Ogareva","doi":"10.18500/1816-9791-2023-23-3-278-285","DOIUrl":"https://doi.org/10.18500/1816-9791-2023-23-3-278-285","url":null,"abstract":"","PeriodicalId":42789,"journal":{"name":"Izvestiya of Saratov University Mathematics Mechanics Informatics","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2023-08-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77265088","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-08-22DOI: 10.18500/1816-9791-2023-23-3-411-417
A. Velichko
{"title":"Cloud service for interactive simulation of production location","authors":"A. Velichko","doi":"10.18500/1816-9791-2023-23-3-411-417","DOIUrl":"https://doi.org/10.18500/1816-9791-2023-23-3-411-417","url":null,"abstract":"","PeriodicalId":42789,"journal":{"name":"Izvestiya of Saratov University Mathematics Mechanics Informatics","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2023-08-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77190564","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-08-22DOI: 10.18500/1816-9791-2023-23-3-320-338
S. F. Lukomskii, I. Kruss
{"title":"Unitary extension principle on zero-dimensional locally compact groups","authors":"S. F. Lukomskii, I. Kruss","doi":"10.18500/1816-9791-2023-23-3-320-338","DOIUrl":"https://doi.org/10.18500/1816-9791-2023-23-3-320-338","url":null,"abstract":"","PeriodicalId":42789,"journal":{"name":"Izvestiya of Saratov University Mathematics Mechanics Informatics","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2023-08-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81125902","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-08-22DOI: 10.18500/1816-9791-2023-23-3-339-347
A. Rubinsteĭn, D. Telyakovskii
{"title":"On functions of van der Waerden type","authors":"A. Rubinsteĭn, D. Telyakovskii","doi":"10.18500/1816-9791-2023-23-3-339-347","DOIUrl":"https://doi.org/10.18500/1816-9791-2023-23-3-339-347","url":null,"abstract":"","PeriodicalId":42789,"journal":{"name":"Izvestiya of Saratov University Mathematics Mechanics Informatics","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2023-08-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82212445","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-08-22DOI: 10.18500/1816-9791-2023-23-3-311-319
V. P. Kurdyumov
{"title":"Classic and generalized solutions of the mixed problem for wave equation with a summable potential. Part I. Classic solution of the mixed problem","authors":"V. P. Kurdyumov","doi":"10.18500/1816-9791-2023-23-3-311-319","DOIUrl":"https://doi.org/10.18500/1816-9791-2023-23-3-311-319","url":null,"abstract":"","PeriodicalId":42789,"journal":{"name":"Izvestiya of Saratov University Mathematics Mechanics Informatics","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2023-08-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76597590","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-05-22DOI: 10.18500/1816-9791-2023-23-2-183-194
V. Rykhlov
. An initial boundary value problem for an inhomogeneous second-order hyperbolic equation on a finite segment with constant coefficients and a mixed derivative is investigated. The case of fixed ends is considered. It is assumed that the roots of the characteristic equation are simple and lie on the real axis on different sides of the origin. The classical solution of the initial boundary value problem is determined. The uniqueness theorem of the classical solution is formulated and proved. A formula is given for the solution in the form of a series whose members are contour integrals containing the initial data of the problem. The corresponding spectral problem for a quadratic beam is constructed and a theorem is formulated on the expansion of the first component of a vector-function with respect to the derivative chains corresponding to the eigenfunctions of the beam. This theorem is essentially used in proving the uniqueness theorem for the classical solution of the initial boundary value problem.
{"title":"The uniqueness of the solution of an initial boundary value problem for a hyperbolic equation with a mixed derivative and a formula for the solution","authors":"V. Rykhlov","doi":"10.18500/1816-9791-2023-23-2-183-194","DOIUrl":"https://doi.org/10.18500/1816-9791-2023-23-2-183-194","url":null,"abstract":". An initial boundary value problem for an inhomogeneous second-order hyperbolic equation on a finite segment with constant coefficients and a mixed derivative is investigated. The case of fixed ends is considered. It is assumed that the roots of the characteristic equation are simple and lie on the real axis on different sides of the origin. The classical solution of the initial boundary value problem is determined. The uniqueness theorem of the classical solution is formulated and proved. A formula is given for the solution in the form of a series whose members are contour integrals containing the initial data of the problem. The corresponding spectral problem for a quadratic beam is constructed and a theorem is formulated on the expansion of the first component of a vector-function with respect to the derivative chains corresponding to the eigenfunctions of the beam. This theorem is essentially used in proving the uniqueness theorem for the classical solution of the initial boundary value problem.","PeriodicalId":42789,"journal":{"name":"Izvestiya of Saratov University Mathematics Mechanics Informatics","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2023-05-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82369268","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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