发布求助
文献互助 智能选刊 最新文献

Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica最新文献

筛选
英文 中文
A fixed point theorem for p-contraction mappings in partially ordered metric spaces and application to ordinary differential equations 偏序度量空间中p-收缩映射的不动点定理及其在常微分方程中的应用
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica Pub Date : 2023-06-01 DOI: 10.56415/basm.y2022.i3.p15
Ahmed Chaouki Aouine
{"title":"A fixed point theorem for p-contraction mappings in partially ordered metric spaces and application to ordinary differential equations","authors":"Ahmed Chaouki Aouine","doi":"10.56415/basm.y2022.i3.p15","DOIUrl":"https://doi.org/10.56415/basm.y2022.i3.p15","url":null,"abstract":"In this paper, we prove a fixed point theorem for textit{p}-contraction mappings in partially ordered metric spaces. As an application, we investigate the possibility of optimally controlling the solution of the ordinary differential equations.\u0000","PeriodicalId":102242,"journal":{"name":"Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica","volume":"139 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116553006","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
Optimal control of jump-diffusion processes with random parameters 随机参数跳跃扩散过程的最优控制
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica Pub Date : 2023-06-01 DOI: 10.56415/basm.y2022.i3.p22
M. Lefebvre
{"title":"Optimal control of jump-diffusion processes with random parameters","authors":"M. Lefebvre","doi":"10.56415/basm.y2022.i3.p22","DOIUrl":"https://doi.org/10.56415/basm.y2022.i3.p22","url":null,"abstract":"Let $X(t)$ be a controlled jump-diffusion process starting at $x in [a,b]$ and whose infinitesimal parameters vary according to a con-tinuous-time Markov chain. The aim is to minimize the expected value of a cost function with quadratic control costs until $X(t)$ leaves the interval $(a,b)$, and a termination cost that depends on the final value of $X(t)$. Exact and explicit solutions are obtained for important processes.\u0000","PeriodicalId":102242,"journal":{"name":"Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica","volume":"56 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126209500","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
Asymptotic Behavior of Homogeneous Linear Recurrent Processes and Their Perturbations 齐次线性循环过程的渐近性质及其扰动
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica Pub Date : 2023-01-01 DOI: 10.56415/basm.y2022.i2.p103
Alexandru Lazari
{"title":"Asymptotic Behavior of Homogeneous Linear Recurrent Processes and Their Perturbations","authors":"Alexandru Lazari","doi":"10.56415/basm.y2022.i2.p103","DOIUrl":"https://doi.org/10.56415/basm.y2022.i2.p103","url":null,"abstract":"In this paper the impact of small perturbations on asymptotic evolution of homogeneous linear recurrent processes is investigated. Analytical methods for describing homogeneous linear recurrent systems, from convergence, periodicity and boundedness perspective, are presented. These methods are based on Jury Stability Criterion and the classification of the roots of minimal characteristic polynomial in relation to unit disc.","PeriodicalId":102242,"journal":{"name":"Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica","volume":"30 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116083945","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
Isostrophy Bryant-Schneider Group-Invariant of Bol Loops Bol环的等等距Bryant-Schneider群不变量
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica Pub Date : 2023-01-01 DOI: 10.56415/basm.y2022.i2.p3
Temitope Gbolahan Jaiyeola, B. Osoba, Anthony Oyem
{"title":"Isostrophy Bryant-Schneider Group-Invariant of Bol Loops","authors":"Temitope Gbolahan Jaiyeola, B. Osoba, Anthony Oyem","doi":"10.56415/basm.y2022.i2.p3","DOIUrl":"https://doi.org/10.56415/basm.y2022.i2.p3","url":null,"abstract":"In the recent past, Grecu and Syrbu (in no order of preference) have jointly and individually reported some results on isostrophy invariants of Bol loops. Also, the Bryant-Schneider group of a loop has been found important in the study of the isotopy-isomorphy of some varieties of loops (e.g. Bol loops, Moufang loops, Osborn loops). In this current work, the Bryant-Schneider group of a middle Bol loop was linked with some of the isostrophy-group invariance results of Grecu and Syrbu. In particular, it was shown that some subgroups of the Bryant-Schneider group of a middle Bol loop are equal (or isomorphic) to the automorphism and pseudo-aumorphism groups of its corresponding right (left) Bol loop. Some elements of the Bryant-Schneider group of a middle Bol loop were shown to induce automorphisms and middle pseudo-automorphisms. It was discovered that if a middle Bol loop is of exponent 2, then, its corresponding right (left) Bol loop is a left (right) G-loop.","PeriodicalId":102242,"journal":{"name":"Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica","volume":"79 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130258282","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
Nuclear Identification of Some New Loop Identities of Length Five 一些新的长度为5的环恒等式的核鉴定
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica Pub Date : 2023-01-01 DOI: 10.56415/basm.y2022.i2.p39
George Olufemi Olakunle, Temitope Gbolahan Jaiyeola
{"title":"Nuclear Identification of Some New Loop Identities of Length Five","authors":"George Olufemi Olakunle, Temitope Gbolahan Jaiyeola","doi":"10.56415/basm.y2022.i2.p39","DOIUrl":"https://doi.org/10.56415/basm.y2022.i2.p39","url":null,"abstract":"In this work, we discovered a dozen of new loop identities we called identities of 'second Bol-Moufang type'. This was achieved by using a generalized and modified nuclear identification model originally introduced by Dr'{a}pal and Jedliu{c}ka. Among these twelve identities, eight of them were found to be distinct (from well known loop identities), among which two pairs axiomatize the weak inverse property power associative conjugacy closed (WIP PACC) loop. The four other new loop identities individually characterize the Moufang identities in loops. Thus, now we have eight loop identities that characterize Moufang loops. We also discovered two (equivalent) identities that describe two varieties of Buchsteiner loops. In all, only the extra identities which the Dr'{a}pal and Jedliu{c}ka nuclear identification model tracked down could not be tracked down by our own nuclear identification model. The dozen laws ${Q_i}_{i=1}^{12}$ induced by our nuclear identification form four cycles in the following sequential format: $big(Q_{4i-j}big)_{i=1}^3,~j=0,1,2,3,$ and also form six pairs of dual identities. With the help of twisted nuclear identification, we discovered six identities of lengths five that describe the abelian group variety and commutative Moufang loop variety (in each case). The second dozen identities ${Q_i^*}_{i=1}^{12}$ induced by our twisted nuclear identification were also found to form six pairs of dual identities. Some examples of loops of smallest order that obey non-Moufang laws (which do not necessarily imply the other) among the dozen laws ${Q_i}_{i=1}^{12}$ were found.","PeriodicalId":102242,"journal":{"name":"Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica","volume":"11 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132296496","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 recursively differentiable k-quasigroups 关于递推可微k-拟群
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica Pub Date : 2023-01-01 DOI: 10.56415/basm.y2022.i2.p68
Parascovia Sirbu, Elena Cuznetov
{"title":"On recursively differentiable k-quasigroups","authors":"Parascovia Sirbu, Elena Cuznetov","doi":"10.56415/basm.y2022.i2.p68","DOIUrl":"https://doi.org/10.56415/basm.y2022.i2.p68","url":null,"abstract":"Recursive differentiability of linear $k$-quasigroups $(kgeq 2)$ is studied in the present work. A $k$-quasigroup is recursively $r$-differentiable (r is a natural number) if its recursive derivatives of order up to $r$ are quasigroup operations. We give necessary and sufficient conditions of recursive $1$-differentiability (respectively, $r$-differentiability) of the $k$-group $(Q,B)$, where $B(x_1,..., x_k)=x_1 cdot x_2 cdot ... cdot x_k , forall x_1 , x_2 ,..., x_k in Q,$ and $(Q, cdot)$ is a finite binary group (respectively, a finite abelian binary group). The second result is a generalization of a known criterion of recursive $r$-differentiability of finite binary abelian groups cite{IzbashSyrbu}. Also we consider a method of construction of recursively $r$-differentiable finite binary quasigroups of high order $r$. The maximum known values of the parameter $r$ for binary quasigroups of order up to 200 are presented.","PeriodicalId":102242,"journal":{"name":"Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica","volume":"52 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130977925","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 solubility of a class of two-dimensional integral equations on a quarter plane with monotone nonlinearity 一类单调非线性二维积分方程在四分之一平面上的溶解度
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica Pub Date : 2023-01-01 DOI: 10.56415/basm.y2022.i2.p19
K. Khachatryan, H. S. Petrosyan, S. M. Andriyan
{"title":"On the solubility of a class of two-dimensional integral equations on a quarter plane with monotone nonlinearity","authors":"K. Khachatryan, H. S. Petrosyan, S. M. Andriyan","doi":"10.56415/basm.y2022.i2.p19","DOIUrl":"https://doi.org/10.56415/basm.y2022.i2.p19","url":null,"abstract":"In the paper we study a class of two-dimensional integral equations on a quarter-plane with monotone nonlinearity and substochastic kernel. With specific representations of the kernel and nonlinearity, an equation of this kind arises in various fields of natural science. In particular, such equations occur in the dynamical theory of $p$-adic open-closed strings for the scalar field of tachyons, in the mathematical theory of the geographical spread of a pandemic, in the kinetic theory of gases, and in the theory of radiative transfer in inhomogeneous media. newline We prove constructive theorems on the existence of a nontrivial nonnegative and bounded solution. For one important particular case, the existence of a one-parameter family of nonnegative and bounded solutions is also established. Moreover, the asymptotic behavior at infinity of each solution from the given family os studied. At the end of the paper, specific particular examples (of an applied nature) of the kernel and nonlinearity that satisfy all the conditions of the proven statements are given.","PeriodicalId":102242,"journal":{"name":"Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica","volume":"18 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125232833","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
B-spline approximation of discontinuous functions defined on a closed contour in the complex plane 复平面上闭轮廓上不连续函数的b样条逼近
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica Pub Date : 2023-01-01 DOI: 10.56415/basm.y2022.i2.p59
Maria Capcelea, Titu Capcelea
{"title":"B-spline approximation of discontinuous functions defined on a closed contour in the complex plane","authors":"Maria Capcelea, Titu Capcelea","doi":"10.56415/basm.y2022.i2.p59","DOIUrl":"https://doi.org/10.56415/basm.y2022.i2.p59","url":null,"abstract":"In this paper we propose an efficient algorithm for approximating piecewise continuous functions, defined on a closed contour $Gamma $ in the complex plane. The function, defined numerically on a finite set of points of $Gamma $, is approximated by a linear combination of B-spline functions and Heaviside step functions, defined on $Gamma $. Theoretical and practical aspects of the convergence of the algorithm are presented, including the vicinity of the discontinuity points.","PeriodicalId":102242,"journal":{"name":"Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica","volume":"29 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131174947","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
Limits of solutions to the semilinear plate equation with small parameter 小参数半线性板方程解的极限
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica Pub Date : 2023-01-01 DOI: 10.56415/basm.y2022.i2.p76
A. Perjan, G. Rusu
{"title":"Limits of solutions to the semilinear plate equation with small parameter","authors":"A. Perjan, G. Rusu","doi":"10.56415/basm.y2022.i2.p76","DOIUrl":"https://doi.org/10.56415/basm.y2022.i2.p76","url":null,"abstract":"We study the existence of the limits of solutions to the semilinear plate equation with boundary Dirichlet condition with a small parameter coefficient of the second order derivative in time. We establish the convergence of solutions to the perturbed problem and their derivatives in spacial variables to the corresponding solutions to the unperturbed problem as the small parameter tends to zero.","PeriodicalId":102242,"journal":{"name":"Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130394465","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
Different Types of Compact Global Attractors for Cocycles with a Noncompact Phase Space of Driving System and the Relationship Between Them 驱动系统非紧相空间环的不同类型紧致全局吸引子及其相互关系
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica Pub Date : 2022-07-01 DOI: 10.56415/basm.y2022.i1.p35
D. Cheban
{"title":"Different Types of Compact Global Attractors for Cocycles with a Noncompact Phase Space of Driving System and the Relationship Between Them","authors":"D. Cheban","doi":"10.56415/basm.y2022.i1.p35","DOIUrl":"https://doi.org/10.56415/basm.y2022.i1.p35","url":null,"abstract":"In this paper we study different types of compact global attractors for non-autonomous (cocycle) dynamical systems with noncompact phase space of driving system. We establish the relations between them.","PeriodicalId":102242,"journal":{"name":"Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica","volume":"51 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116033163","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
首页 上一页 下一页 尾页
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整，为了账户安全，请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们：info@booksci.cn Book学术提供免费学术资源搜索服务，方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号：481959085
Book学术官方微信