Pub Date : 2019-09-25DOI: 10.18287/2541-7525-2019-25-3-7-11
S. Gladkov, S. B. Bogdanova
{"title":"TO THE QUESTION OF FRACTIONAL DIFFERENTIATION. PART II","authors":"S. Gladkov, S. B. Bogdanova","doi":"10.18287/2541-7525-2019-25-3-7-11","DOIUrl":"https://doi.org/10.18287/2541-7525-2019-25-3-7-11","url":null,"abstract":"","PeriodicalId":427884,"journal":{"name":"Vestnik of Samara University. Natural Science Series","volume":"5 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-09-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114990565","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 : 2019-09-25DOI: 10.18287/2541-7525-2019-25-3-83-92
Y. Kryukov
{"title":"VEERING OF SAFFMAN LIFT FORСE AT FLOW PAST SPHERE WITHOUT SEPARATION","authors":"Y. Kryukov","doi":"10.18287/2541-7525-2019-25-3-83-92","DOIUrl":"https://doi.org/10.18287/2541-7525-2019-25-3-83-92","url":null,"abstract":"","PeriodicalId":427884,"journal":{"name":"Vestnik of Samara University. Natural Science Series","volume":"125 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-09-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132162453","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 : 2019-09-25DOI: 10.18287/2541-7525-2019-25-3-33-38
J. Yakovleva, A. Tarasenko
In the article the Cauchy problem for the one system of the differential equations of the fourth order is received in the plane of two independent variables. This system of the hyperbolic differential equations of the fourth order does not contain derivatives less than the fourth order. The regular solution of the Cauchy problem for the system of the hyperbolic differential equations of the fourth order is explicitly built. The solution of the Cauchy problem for the system of the hyperbolic differential equations of the fourth order is found by the Riman method. In the paper the matrix of Riman for the system of the hyperbolic differential equations of the fourth order is constructed also. The matrix of Riman is expressed through hypergeometrical functions of matrix argument.
{"title":"THE SOLUTION OF CAUCHY PROBLEM FOR THE HYPERBOLIC DIFFERENTIAL EQUATIONS OF THE FOURTH ORDER BY THE RIMAN METHOD","authors":"J. Yakovleva, A. Tarasenko","doi":"10.18287/2541-7525-2019-25-3-33-38","DOIUrl":"https://doi.org/10.18287/2541-7525-2019-25-3-33-38","url":null,"abstract":"In the article the Cauchy problem for the one system of the differential equations of the fourth order is received in the plane of two independent variables. This system of the hyperbolic differential equations of the fourth order does not contain derivatives less than the fourth order. The regular solution of the Cauchy problem for the system of the hyperbolic differential equations of the fourth order is explicitly built. The solution of the Cauchy problem for the system of the hyperbolic differential equations of the fourth order is found by the Riman method. In the paper the matrix of Riman for the system of the hyperbolic differential equations of the fourth order is constructed also. The matrix of Riman is expressed through hypergeometrical functions of matrix argument.","PeriodicalId":427884,"journal":{"name":"Vestnik of Samara University. Natural Science Series","volume":"34 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-09-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121618128","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 : 2019-09-25DOI: 10.18287/2541-7525-2019-25-3-39-61
O. Belova, L. Stepanova
{"title":"STUDYING THE CRACK DISTRIBUTION BY THE MOLECULAR DYNAMICS METHOD IN A COPPER PLATE","authors":"O. Belova, L. Stepanova","doi":"10.18287/2541-7525-2019-25-3-39-61","DOIUrl":"https://doi.org/10.18287/2541-7525-2019-25-3-39-61","url":null,"abstract":"","PeriodicalId":427884,"journal":{"name":"Vestnik of Samara University. Natural Science Series","volume":"16 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-09-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121597077","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 : 2019-09-25DOI: 10.18287/2541-7525-2019-25-3-62-82
L. Stepanova, O. Belova, V. Turkova
{"title":"DETERMINATION OF THE WILLIAMS SERIES EXPANSION’S COEFFICIENTS USING DIGITAL PHOTOELASTICITY METHOD AND FINITE ELEMENT METHOD","authors":"L. Stepanova, O. Belova, V. Turkova","doi":"10.18287/2541-7525-2019-25-3-62-82","DOIUrl":"https://doi.org/10.18287/2541-7525-2019-25-3-62-82","url":null,"abstract":"","PeriodicalId":427884,"journal":{"name":"Vestnik of Samara University. Natural Science Series","volume":"58 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-09-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121763731","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 : 2019-09-25DOI: 10.18287/2541-7525-2019-25-3-22-32
Maxim V. Shamolin
{"title":"PROBLEMS OF DIFFERENTIAL AND TOPOLOGICAL DIAGNOSTICS. PART II. PROBLEM OF DIFFERENTIAL DIAGNOSTICS","authors":"Maxim V. Shamolin","doi":"10.18287/2541-7525-2019-25-3-22-32","DOIUrl":"https://doi.org/10.18287/2541-7525-2019-25-3-22-32","url":null,"abstract":"","PeriodicalId":427884,"journal":{"name":"Vestnik of Samara University. Natural Science Series","volume":"94 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-09-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130756979","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 : 2019-09-25DOI: 10.18287/2541-7525-2019-25-3-12-21
I. Parasidis, E. Провидас
We establish solvability and correctness criteria for two Fredholm type linear integro-differential operators B2, B4 encompassing up to second and fourth powers, respectively, of a differential operator  with a known inverse I = Â−1. We also derive explicit solution formulae to corresponding initial and boundary value problems by using the inverse of the differential operator. The approach is based on the theory of the extensions of linear operators in Banach spaces. Three example problems for ordinary and partial integro-differential operators are solved.
{"title":"INTEGRO-DIFFERENTIAL EQUATIONS EMBODYING POWERS OF A DIFFERENTIAL OPERATOR","authors":"I. Parasidis, E. Провидас","doi":"10.18287/2541-7525-2019-25-3-12-21","DOIUrl":"https://doi.org/10.18287/2541-7525-2019-25-3-12-21","url":null,"abstract":"We establish solvability and correctness criteria for two Fredholm type linear integro-differential operators B2, B4 encompassing up to second and fourth powers, respectively, of a differential operator  with a known inverse I = Â−1. We also derive explicit solution formulae to corresponding initial and boundary value problems by using the inverse of the differential operator. The approach is based on the theory of the extensions of linear operators in Banach spaces. Three example problems for ordinary and partial integro-differential operators are solved.","PeriodicalId":427884,"journal":{"name":"Vestnik of Samara University. Natural Science Series","volume":"24 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-09-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133439777","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 : 2019-09-06DOI: 10.18287/2541-7525-2019-25-1-80-96
L. Stepanova
{"title":"INFLUENCE OF THE HIGHER ORDER TERMS IN WILLIAMS’ SERIES EXPANSION OF THE STRESS FIELD ON THE STRESS-STRAIN STATE IN THE VICINITY OF THE CRACK TIP. PART II","authors":"L. Stepanova","doi":"10.18287/2541-7525-2019-25-1-80-96","DOIUrl":"https://doi.org/10.18287/2541-7525-2019-25-1-80-96","url":null,"abstract":"","PeriodicalId":427884,"journal":{"name":"Vestnik of Samara University. Natural Science Series","volume":"6 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-09-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114637484","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 : 2019-08-25DOI: 10.18287/2541-7525-2019-25-1-57-62
R. M. Zhabbarov
{"title":"THEORETICALLY RECONSTRUCTED ISOCHROMATIC FRINGES IN THE VICINITY OF THE CRACK TIP","authors":"R. M. Zhabbarov","doi":"10.18287/2541-7525-2019-25-1-57-62","DOIUrl":"https://doi.org/10.18287/2541-7525-2019-25-1-57-62","url":null,"abstract":"","PeriodicalId":427884,"journal":{"name":"Vestnik of Samara University. Natural Science Series","volume":"36 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-08-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127584015","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 : 2019-08-25DOI: 10.18287/2541-7525-2019-25-1-21-31
A. V. Dyuzheva
{"title":"A PROBLEM WITH AN INTEGRAL CONDITION OF THE FIRST KIND FOR AN EQUATION OF THE FOURTH ORDER","authors":"A. V. Dyuzheva","doi":"10.18287/2541-7525-2019-25-1-21-31","DOIUrl":"https://doi.org/10.18287/2541-7525-2019-25-1-21-31","url":null,"abstract":"","PeriodicalId":427884,"journal":{"name":"Vestnik of Samara University. Natural Science Series","volume":"59 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-08-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134375167","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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