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Bulletin of National University of Uzbekistan: Mathematics and Natural Sciences最新文献

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On time-optimal control problem associated with parabolic equation 关于抛物型方程的时间最优控制问题
Bulletin of National University of Uzbekistan: Mathematics and Natural Sciences Pub Date : 2021-03-15 DOI: 10.56017/2181-1318.1137
F. Dekhkonov
{"title":"On time-optimal control problem associated with parabolic equation","authors":"F. Dekhkonov","doi":"10.56017/2181-1318.1137","DOIUrl":"https://doi.org/10.56017/2181-1318.1137","url":null,"abstract":"","PeriodicalId":127023,"journal":{"name":"Bulletin of National University of Uzbekistan: Mathematics and Natural Sciences","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129631907","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}
引用次数: 1
Nonlocal problems for a fractional order mixed parabolic equation 分数阶混合抛物型方程的非局部问题
Bulletin of National University of Uzbekistan: Mathematics and Natural Sciences Pub Date : 2021-03-15 DOI: 10.56017/2181-1318.1143
A. Mamanazarov
{"title":"Nonlocal problems for a fractional order mixed parabolic equation","authors":"A. Mamanazarov","doi":"10.56017/2181-1318.1143","DOIUrl":"https://doi.org/10.56017/2181-1318.1143","url":null,"abstract":"","PeriodicalId":127023,"journal":{"name":"Bulletin of National University of Uzbekistan: Mathematics and Natural Sciences","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115058186","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}
引用次数: 0
Nonlocal boundary value problem for a system of mixed type equations with a line of degeneration 一类带退化线的混合型方程组的非局部边值问题
Bulletin of National University of Uzbekistan: Mathematics and Natural Sciences Pub Date : 2021-03-15 DOI: 10.56017/2181-1318.1144
K. Fayazov, I. Khajiev
{"title":"Nonlocal boundary value problem for a system of mixed type equations with a line of degeneration","authors":"K. Fayazov, I. Khajiev","doi":"10.56017/2181-1318.1144","DOIUrl":"https://doi.org/10.56017/2181-1318.1144","url":null,"abstract":"","PeriodicalId":127023,"journal":{"name":"Bulletin of National University of Uzbekistan: Mathematics and Natural Sciences","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131557154","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}
引用次数: 0
Ergodic theorems for d-dimensional flows in ideals of compact operators 紧算子理想中d维流的遍历定理
Bulletin of National University of Uzbekistan: Mathematics and Natural Sciences Pub Date : 2021-03-15 DOI: 10.56017/2181-1318.1150
A. Azizov
{"title":"Ergodic theorems for d-dimensional flows in ideals of compact operators","authors":"A. Azizov","doi":"10.56017/2181-1318.1150","DOIUrl":"https://doi.org/10.56017/2181-1318.1150","url":null,"abstract":"Let H be an infinite-dimensional complex Hilbert space, let (B(H), ‖ · ‖∞) be the C?-algebra of all bounded linear operators acting in H, and let CE be the symmetric ideal of compact operators in H generated by the fully symmetric sequence space E ⊂ c0. If Tu : B(H) → B(H), u = (u1, . . . , ud) ∈ R+, is a semigroup of positive Dunford-Schwartz operators, which is strongly continuous on C1, then the following versions of individual and mean ergodic theorems are true: For each x ∈ CE the net At(x) = 1 td ∫ [0,t]d Tu(x)du, t > 0, converges to some x̂ ∈ CE with respect to the norm ‖ · ‖∞, as t → ∞; moreover, if E is separable and E 6= l1 (as a sets), then lim t→∞ ‖At(x)− x̂‖CE = 0.","PeriodicalId":127023,"journal":{"name":"Bulletin of National University of Uzbekistan: Mathematics and Natural Sciences","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116259257","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}
引用次数: 0
Behavior and dynamics of the set of absolute nilpotent and idempotentelements of chain of evolution algebras depending on the time 演化链代数绝对幂零元和幂等元集随时间的行为和动力学
Bulletin of National University of Uzbekistan: Mathematics and Natural Sciences Pub Date : 2020-12-15 DOI: 10.56017/2181-1318.1124
A. Imomkulov
{"title":"Behavior and dynamics of the set of absolute nilpotent and idempotent\u0000elements of chain of evolution algebras depending on the time","authors":"A. Imomkulov","doi":"10.56017/2181-1318.1124","DOIUrl":"https://doi.org/10.56017/2181-1318.1124","url":null,"abstract":"In this paper we construct some families of three-dimensional evolution algebras which satisfies Chapman-Kolmogorov equation. For all of these chains we study the behavior of the baric property, the behavior of the set of absolute nilpotent elements and dynamics of the set of idempotent elements depending on the time.","PeriodicalId":127023,"journal":{"name":"Bulletin of National University of Uzbekistan: Mathematics and Natural Sciences","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128622030","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}
引用次数: 2
Some properties of A(z)-subharmonic functions A(z)-次谐波函数的一些性质
Bulletin of National University of Uzbekistan: Mathematics and Natural Sciences Pub Date : 2020-12-15 DOI: 10.56017/2181-1318.1141
S. Khursanov
{"title":"Some properties of A(z)-subharmonic functions","authors":"S. Khursanov","doi":"10.56017/2181-1318.1141","DOIUrl":"https://doi.org/10.56017/2181-1318.1141","url":null,"abstract":"","PeriodicalId":127023,"journal":{"name":"Bulletin of National University of Uzbekistan: Mathematics and Natural Sciences","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123240928","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}
引用次数: 0
The Fokas' unified transformation method for Airy equation on simple open star graph 简单开放星图上Airy方程的Fokas统一变换方法
Bulletin of National University of Uzbekistan: Mathematics and Natural Sciences Pub Date : 2020-12-15 DOI: 10.56017/2181-1318.1123
Z. Sobirov, M. Eshimbetov
{"title":"The Fokas' unified transformation method for Airy equation on simple open star graph","authors":"Z. Sobirov, M. Eshimbetov","doi":"10.56017/2181-1318.1123","DOIUrl":"https://doi.org/10.56017/2181-1318.1123","url":null,"abstract":"","PeriodicalId":127023,"journal":{"name":"Bulletin of National University of Uzbekistan: Mathematics and Natural Sciences","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132571115","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}
引用次数: 0
The ψ-harmonic measure and its properties ψ谐波测度及其性质
Bulletin of National University of Uzbekistan: Mathematics and Natural Sciences Pub Date : 2020-12-15 DOI: 10.56017/2181-1318.1125
Nurbek Narzillaev, Kobiljon Kuldoshev
{"title":"The ψ-harmonic measure and its properties","authors":"Nurbek Narzillaev, Kobiljon Kuldoshev","doi":"10.56017/2181-1318.1125","DOIUrl":"https://doi.org/10.56017/2181-1318.1125","url":null,"abstract":"It is known that, the harmonic measure of a set E, relative to a domain D, is defined by means of subharmonic functions on D. In this article we define a generalization of a harmonic measure and prove some of its properties.","PeriodicalId":127023,"journal":{"name":"Bulletin of National University of Uzbekistan: Mathematics and Natural Sciences","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125808535","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}
引用次数: 0
Thermodynamics of complexation and membrane activity of crown ethers 冠状醚络合热力学及膜活性
Bulletin of National University of Uzbekistan: Mathematics and Natural Sciences Pub Date : 2020-09-15 DOI: 10.56017/2181-1318.1115
U. Mirkhodjaev, O. Yarishkin, U. Sharafutdinova, U. Toyirov, N. Atamuratova, A. K. Tashmukhamedova, Bekdjan Tashmukhamedov
{"title":"Thermodynamics of complexation and membrane activity of crown ethers","authors":"U. Mirkhodjaev, O. Yarishkin, U. Sharafutdinova, U. Toyirov, N. Atamuratova, A. K. Tashmukhamedova, Bekdjan Tashmukhamedov","doi":"10.56017/2181-1318.1115","DOIUrl":"https://doi.org/10.56017/2181-1318.1115","url":null,"abstract":"The use of thermodynamic characteristics in the analysis of data on complexation makes it possible to give the obtained data a definite physical and chemical interpretation. Our studies allow us to evaluate the complex forming abilities of compounds similar in structure to the molecules studied, and will help to analyze the \"structure-function\". They can replenish the database on the physical and chemical properties of crown ethers, and enable the prediction of only \"constructed compounds\". We have developed a reliable set of procedures for conductometric analysis of complex forming, membrane active and thermodynamic properties of sulfo derivatives-DB18C6, diacyl derivatives-DB18C6, 4’,4\"(5\")-dimethylaminoethanolDB18C6 and bis-o-methoxyphenoxy-diethyl ethers.","PeriodicalId":127023,"journal":{"name":"Bulletin of National University of Uzbekistan: Mathematics and Natural Sciences","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131404915","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}
引用次数: 0
On the solvability of hypersingular equation of peridynamics 超奇异周动力学方程的可解性
Bulletin of National University of Uzbekistan: Mathematics and Natural Sciences Pub Date : 2020-09-15 DOI: 10.56017/2181-1318.1109
S. Alimov, Shukhrat Sheraliev
{"title":"On the solvability of hypersingular equation of peridynamics","authors":"S. Alimov, Shukhrat Sheraliev","doi":"10.56017/2181-1318.1109","DOIUrl":"https://doi.org/10.56017/2181-1318.1109","url":null,"abstract":"","PeriodicalId":127023,"journal":{"name":"Bulletin of National University of Uzbekistan: Mathematics and Natural Sciences","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126451276","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}
引用次数: 1
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