{"title":"Generalized Contractions to Coupled Fixed Point Theorems in Partially Ordered Metric Spaces","authors":"Rao, N. Seshagiri, K. Kalyani","doi":"10.17516/1997-1397-2020-13-4-492-502","DOIUrl":"https://doi.org/10.17516/1997-1397-2020-13-4-492-502","url":null,"abstract":"Abstract. The purpose of this paper is to establish some coupled fixed point theorems for a self mapping satisfying certain rational type contractions along with strict mixed monotone property in a metric space endowed with partial order. Also, we have given the result of existence and uniqueness of a coupled fixed point for the mapping. This result generalize and extend several well known results in the literature.","PeriodicalId":422202,"journal":{"name":"Journal of Siberian Federal University. Mathematics and Physics","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129692550","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}
{"title":"On Estimation of Bivariate Survival Function from Random Censored Data","authors":"R. S. Muradov","doi":"10.17516/1997-1397-2020-13-422-430","DOIUrl":"https://doi.org/10.17516/1997-1397-2020-13-422-430","url":null,"abstract":"At present there are several approaches to estimate survival functions of vectors of lifetimes. However, some of these estimators are either inconsistent or not fully defined in the range of joint survival functions. Therefore they are not applicable in practice. In this paper three types of estimates of exponential-hazard, product-limit and relative-risk power structures for the bivariate survival function are considered when the number of summands in empirical estimates is replaced with a sequence of Poisson random variables. It is shown that proposed estimates are asymptotically equivalent. Keywords: bivariate survival function, Poisson random variables, empirical estimates","PeriodicalId":422202,"journal":{"name":"Journal of Siberian Federal University. Mathematics and Physics","volume":"20 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116526010","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}
{"title":"On Error Estimates in Sp for Cubature Formulas Exact for Haar Polynomials","authors":"K. Kirillov, Кирилл А. Кириллов","doi":"10.17516/1997-1397-2020-13-4-398-413","DOIUrl":"https://doi.org/10.17516/1997-1397-2020-13-4-398-413","url":null,"abstract":"The problem of constructing and analyzing cubature formulas that are exact for a given set of functions was earlier considered primarily as applied to the computation of integrals exact for algebraic and trigonometric polynomials. For example, the approximate integration formulas of algebraic accuracy can be found in [1, 2]. The cubature formulas exact for trigonometric polynomials in particular were studied in [3–7]. The approximate integration formulas exact for the system of Haar functions can be found in the monograph [8]. The accuracy of approximate integration formulas for finite Haar sums was used in [8] to derive error estimates for these formulas. A description of all minimal weighted quadrature formulas possessing the Haar d-property, i.e., formulas exact for Haar functions of groups with indices not exceeding a given number d, was given in [9]. The error estimates for quadrature formulas possessing the Haar d-property in the case of the weight function g(x) ≡ 1 were obtained in [10]. In particular, in the mentioned paper the upper estimate for the norm of the error functional ∥δN∥S∗ p was found for the quadrature formulas having the Haar d-property:","PeriodicalId":422202,"journal":{"name":"Journal of Siberian Federal University. Mathematics and Physics","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129344696","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}
{"title":"To the Question of Analytical Estimate of Evaporation Time of the Drop, Crossing Through the Heat Media","authors":"S. Gladkov","doi":"10.17516/1997-1397-2020-13-4-439-450","DOIUrl":"https://doi.org/10.17516/1997-1397-2020-13-4-439-450","url":null,"abstract":"Received 01.02.2020, received in revised form 13.03.2020, accepted 20.05.2020 Abstract. Due to the kinetic approach the modelling description of the drop evaporation is offer. The main equation of the theory received due to the conservation law of dissipative functions of the vapor – liquid system. The diapason of drop size it’s finding when its stability. It’s comparison of the results with the famous classical is given. The numerical estimate of the linear size of small disperse phase when take place usually evaporation (i.e. the Knudsen’s number is a small Kn = l R ≪ 1, where l is a free length path of the molecule and R is an drop radius) are given.","PeriodicalId":422202,"journal":{"name":"Journal of Siberian Federal University. Mathematics and Physics","volume":"286 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115330028","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}
{"title":"Colorings of the Graph K ᵐ 2 + Kn","authors":"L. X. Hung","doi":"10.17516/1997-1397-2020-13-3-297-305","DOIUrl":"https://doi.org/10.17516/1997-1397-2020-13-3-297-305","url":null,"abstract":"In this paper, we characterize chromatically unique, determine list-chromatic number and characterize uniquely list colorability of the graph G = Km 2 + Kn. We shall prove that G is χ-unique, ch(G) = m + n, G is uniquely 3-list colorable graph if and only if 2m + n > 7 and m > 2","PeriodicalId":422202,"journal":{"name":"Journal of Siberian Federal University. Mathematics and Physics","volume":"41 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127322467","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}
{"title":"LP -bound for the Fourier Transform of Surface-Carried Measures Supported on Hypersurfaces with D∞ Type Singularities","authors":"N. Soleeva","doi":"10.17516/1997-1397-2020-13-3-350-359","DOIUrl":"https://doi.org/10.17516/1997-1397-2020-13-3-350-359","url":null,"abstract":"Received 02.02.2020, received in revised form 06.03.2020, accepted 06.04.2020 Abstract. Estimate for Fourier transform of surface-carried measures supported on non-convex surfaces of three-dimensional Euclidean space is considered in this paper.The exact convergence exponent was found wherein the Fourier transform of measures is integrable in tree-dimensional space. This result gives an answer to the question posed by Erdösh and Salmhofer.","PeriodicalId":422202,"journal":{"name":"Journal of Siberian Federal University. Mathematics and Physics","volume":"30 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116600532","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}
{"title":"Root Locus of Algebraic Equations","authors":"I Bykov Valeriy, B. Svetlana","doi":"10.17516/1997-1397-2020-13-2-141-150","DOIUrl":"https://doi.org/10.17516/1997-1397-2020-13-2-141-150","url":null,"abstract":"The locus of real and complex roots of algebraic equations are constructed in this paper. Calculations of specific equations show that the location of their roots depends on the type of equation","PeriodicalId":422202,"journal":{"name":"Journal of Siberian Federal University. Mathematics and Physics","volume":"119 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130350824","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}
S. Senashov, I. Savostyanova, O. Cherepanova, С И Сенашов, Ирина Л. Савостьянова, Ольга Н. Черепанова
{"title":"Anisotropic Antiplane Elastoplastic Problem","authors":"S. Senashov, I. Savostyanova, O. Cherepanova, С И Сенашов, Ирина Л. Савостьянова, Ольга Н. Черепанова","doi":"10.17516/1997-1397-2020-13-2-213-217","DOIUrl":"https://doi.org/10.17516/1997-1397-2020-13-2-213-217","url":null,"abstract":"Received 10.11.2019, received in revised form 11.01.2020, accepted 20.02.2020 Abstract. In this work we solve an anisotropic antiplane elastoplastic problem about stress state in a body weakened by a hole bounded by a piecewise-smooth contour. We give the conservation laws which allowed us to reduce calculations of stress components to a contour integral over the contour of the hole. The conservation laws allowed us to find the boundary between the elastic and plastic areas.","PeriodicalId":422202,"journal":{"name":"Journal of Siberian Federal University. Mathematics and Physics","volume":"39 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133118630","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}
V. I. Kuzovatov, A. Kytmanov, A. Sadullaev, Вячеслав И. Кузоватов, Александр М. Кытманов, Азимбай С Садуллаев
{"title":"On the Application of the Plan Formula to the Study of the Zeta-Function of Zeros of Entire Function","authors":"V. I. Kuzovatov, A. Kytmanov, A. Sadullaev, Вячеслав И. Кузоватов, Александр М. Кытманов, Азимбай С Садуллаев","doi":"10.17516/1997-1397-2020-13-2-135-140","DOIUrl":"https://doi.org/10.17516/1997-1397-2020-13-2-135-140","url":null,"abstract":"Received 10.09.2019, received in revised form 16.11.2019, accepted 20.01.2020 Abstract. We consider an application of the Plan formula to the study of the properties of the zetafunction of zeros of entire function. Based on this formula, we obtained an explicit expression for the kernel of the integral representation of the zeta-function in this case.","PeriodicalId":422202,"journal":{"name":"Journal of Siberian Federal University. Mathematics and Physics","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116866890","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}
V. N. Tyapkin, D. Dmitriev, A. Gladyshev, P. Y. Zverev, Валерий Николаевич Тяпкин, Дмитрий Дмитриевич Дмитриев, Андрей Борисович Гладышев, Пётр Ю. Зверев
{"title":"A Recursive Algorithm for Estimating the Correlation Matrix of the Interference Based on the QR Decomposition","authors":"V. N. Tyapkin, D. Dmitriev, A. Gladyshev, P. Y. Zverev, Валерий Николаевич Тяпкин, Дмитрий Дмитриевич Дмитриев, Андрей Борисович Гладышев, Пётр Ю. Зверев","doi":"10.17516/1997-1397-2020-13-2-160-169","DOIUrl":"https://doi.org/10.17516/1997-1397-2020-13-2-160-169","url":null,"abstract":"Abstract. Many tasks of digital signal processing require the implementation of matrix operations in real time. These are operations of matrix inversion or solving systems of linear algebraic or differential equations (Kalman filter). The transition to the implementation of digital signal processing on programmable logic device (FPGAs), as a rule, involves calculations based on the representation of numbers with a fixed point. This makes solving spatio-temporal processing problems practically impossible based on conventional computational methods. The article discusses the implementation of spatial-temporal signal processing algorithms in satellite broadband systems using QR decomposition. The technologies of CORDIC computations required for recurrent QR decomposition when used together in systolic algorithms are presented.","PeriodicalId":422202,"journal":{"name":"Journal of Siberian Federal University. Mathematics and Physics","volume":"4 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116882525","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}