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Coaxial filters of distributive lattices 分布格的同轴滤波器
IF 0.6
Archivum Mathematicum Pub Date : 2023-01-01 DOI: 10.5817/am2023-5-397
M. Sambasiva Rao
{"title":"Coaxial filters of distributive lattices","authors":"M. Sambasiva Rao","doi":"10.5817/am2023-5-397","DOIUrl":"https://doi.org/10.5817/am2023-5-397","url":null,"abstract":"","PeriodicalId":45191,"journal":{"name":"Archivum Mathematicum","volume":"43 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76240637","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
Around certain critical cases in stability studies in hydraulic engineering 围绕水工稳定性研究中的某些关键问题
IF 0.6
Archivum Mathematicum Pub Date : 2023-01-01 DOI: 10.5817/am2023-1-109
V. Rǎsvan
{"title":"Around certain critical cases in stability studies in hydraulic engineering","authors":"V. Rǎsvan","doi":"10.5817/am2023-1-109","DOIUrl":"https://doi.org/10.5817/am2023-1-109","url":null,"abstract":". It is considered the mathematical model of a benchmark hydroe-lectric power plant containing a water reservoir (lake), two water conduits (the tunnel and the turbine penstock), the surge tank and the hydraulic turbine; all distributed (Darcy-Weisbach) and local hydraulic losses are neglected,the only energy dissipator remains the throttling of the surge tank. Exponential stability would require asymptotic stability of the difference operator associated to the model. However in this case this stability is “fragile” i","PeriodicalId":45191,"journal":{"name":"Archivum Mathematicum","volume":"50 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75748614","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
A note on the oscillation problems for differential equations with $p(t)$-Laplacian 关于p(t) -拉普拉斯微分方程的振荡问题的注记
IF 0.6
Archivum Mathematicum Pub Date : 2023-01-01 DOI: 10.5817/am2023-1-39
K. Fujimoto
{"title":"A note on the oscillation problems for differential equations with $p(t)$-Laplacian","authors":"K. Fujimoto","doi":"10.5817/am2023-1-39","DOIUrl":"https://doi.org/10.5817/am2023-1-39","url":null,"abstract":". This paper deals with the oscillation problems on the nonlinear differential equation ( a ( t ) | x 0 | p ( t ) − 2 x 0 ) 0 + b ( t ) | x | λ − 2 x = 0 involving p ( t )-Laplacian. Sufficient conditions are given under which all proper solutions are oscillatory. In addition, we give a-priori estimates for nonoscillatory solutions and propose an open problem.","PeriodicalId":45191,"journal":{"name":"Archivum Mathematicum","volume":"101 5","pages":""},"PeriodicalIF":0.6,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72410688","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
Padovan and Perrin numbers as products of two generalized Lucas numbers Padovan和Perrin数作为两个广义Lucas数的乘积
IF 0.6
Archivum Mathematicum Pub Date : 2023-01-01 DOI: 10.5817/am2023-4-315
K. N. Adédji, Japhet Odjoumani, A. Togbé
{"title":"Padovan and Perrin numbers as products of two generalized Lucas numbers","authors":"K. N. Adédji, Japhet Odjoumani, A. Togbé","doi":"10.5817/am2023-4-315","DOIUrl":"https://doi.org/10.5817/am2023-4-315","url":null,"abstract":"","PeriodicalId":45191,"journal":{"name":"Archivum Mathematicum","volume":"31 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81746120","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
Stabilization in degenerate parabolic equations in divergence form and application to chemotaxis systems 发散型退化抛物方程的镇定及其在趋化系统中的应用
IF 0.6
Archivum Mathematicum Pub Date : 2023-01-01 DOI: 10.5817/am2023-2-181
Sachiko Ishida, T. Yokota
{"title":"Stabilization in degenerate parabolic equations in divergence form and application to chemotaxis systems","authors":"Sachiko Ishida, T. Yokota","doi":"10.5817/am2023-2-181","DOIUrl":"https://doi.org/10.5817/am2023-2-181","url":null,"abstract":". This paper presents a stabilization result for weak solutions of degenerate parabolic equations in divergence form. More precisely, the result asserts that the global-in-time weak solution converges to the average of the initial data in some topology as time goes to infinity. It is also shown that the result can be applied to a degenerate parabolic-elliptic Keller-Segel system.","PeriodicalId":45191,"journal":{"name":"Archivum Mathematicum","volume":"120 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87837918","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
Systems of differential equations modeling non-Markov processes 非马尔可夫过程的微分方程组建模
IF 0.6
Archivum Mathematicum Pub Date : 2023-01-01 DOI: 10.5817/am2023-1-21
I. Dzhalladova, M. Ruzicková
{"title":"Systems of differential equations modeling non-Markov processes","authors":"I. Dzhalladova, M. Ruzicková","doi":"10.5817/am2023-1-21","DOIUrl":"https://doi.org/10.5817/am2023-1-21","url":null,"abstract":". The work deals with non-Markov processes and the construction of systems of differential equations with delay that describe the probability vectors of such processes. The generating stochastic operator and properties of stochastic operators are used to construct systems that define non-Markov processes.","PeriodicalId":45191,"journal":{"name":"Archivum Mathematicum","volume":"31 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90179568","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
Large time behavior in a quasilinear parabolic-parabolic-elliptic attraction-repulsion chemotaxis system 拟线性抛物-抛物-椭圆吸引-排斥趋化系统的大时间行为
IF 0.6
Archivum Mathematicum Pub Date : 2023-01-01 DOI: 10.5817/am2023-2-163
Yutaro Chiyo
{"title":"Large time behavior in a quasilinear parabolic-parabolic-elliptic attraction-repulsion chemotaxis system","authors":"Yutaro Chiyo","doi":"10.5817/am2023-2-163","DOIUrl":"https://doi.org/10.5817/am2023-2-163","url":null,"abstract":". This paper deals with a quasilinear parabolic-parabolic-elliptic attraction-repulsion chemotaxis system. Boundedness, stabilization and blow-up in this system of the fully parabolic and parabolic-elliptic-elliptic versions have already been proved. The purpose of this paper is to derive boundedness and stabilization in the parabolic-parabolic-elliptic version.","PeriodicalId":45191,"journal":{"name":"Archivum Mathematicum","volume":"102 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83062033","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
Existence of blow-up solutions for a degenerate parabolic-elliptic Keller–Segel system with logistic source 一类具有logistic源的退化抛物-椭圆Keller-Segel系统爆破解的存在性
IF 0.6
Archivum Mathematicum Pub Date : 2023-01-01 DOI: 10.5817/am2023-2-223
Yuya Tanaka
{"title":"Existence of blow-up solutions for a degenerate parabolic-elliptic Keller–Segel system with logistic source","authors":"Yuya Tanaka","doi":"10.5817/am2023-2-223","DOIUrl":"https://doi.org/10.5817/am2023-2-223","url":null,"abstract":". This paper deals with existence of finite-time blow-up solutions to a degenerate parabolic–elliptic Keller–Segel system with logistic source. Recently, finite-time blow-up was established for a degenerate Jäger–Luckhaus system with logistic source. However, blow-up solutions of the aforementioned system have not been obtained. The purpose of this paper is to construct blow-up solutions of a degenerate Keller–Segel system with logistic source.","PeriodicalId":45191,"journal":{"name":"Archivum Mathematicum","volume":"30 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82265519","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
Critical points for reaction-diffusion system with one and two unilateral conditions 单侧和双侧条件下反应扩散系统的临界点
IF 0.6
Archivum Mathematicum Pub Date : 2023-01-01 DOI: 10.5817/am2023-2-173
Jan Eisner, Jan Žilavý
{"title":"Critical points for reaction-diffusion system with one and two unilateral conditions","authors":"Jan Eisner, Jan Žilavý","doi":"10.5817/am2023-2-173","DOIUrl":"https://doi.org/10.5817/am2023-2-173","url":null,"abstract":". We show the location of so called critical points , i.e., couples of diffusion coefficients for which a non-trivial solution of a linear reaction-diffusion system of activator-inhibitor type on an interval with Neumann boundary conditions and with additional non-linear unilateral condition at one or two points on the boundary and/or in the interior exists. Simultaneously, we show the profile of such solutions.","PeriodicalId":45191,"journal":{"name":"Archivum Mathematicum","volume":"31 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80925405","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
Solutions of an advance-delay differential equation and their asymptotic behaviour 一类超前-时滞微分方程的解及其渐近性质
IF 0.6
Archivum Mathematicum Pub Date : 2023-01-01 DOI: 10.5817/am2023-1-141
G. Vážanová
{"title":"Solutions of an advance-delay differential equation and their asymptotic behaviour","authors":"G. Vážanová","doi":"10.5817/am2023-1-141","DOIUrl":"https://doi.org/10.5817/am2023-1-141","url":null,"abstract":". The paper considers a scalar differential equation of an advance-delay type","PeriodicalId":45191,"journal":{"name":"Archivum Mathematicum","volume":"7 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83226100","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
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