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Glasnik Matematicki最新文献

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On the existence of a solution of a class of non-stationary free boundary problems 一类非平稳自由边界问题解的存在性
IF 0.4 4区 数学
Glasnik Matematicki Pub Date : 2018-12-30 DOI: 10.3336/GM.53.2.13
M. Bousselsal, A. Lyaghfouri, E. Zaouche
{"title":"On the existence of a solution of a class of non-stationary free boundary problems","authors":"M. Bousselsal, A. Lyaghfouri, E. Zaouche","doi":"10.3336/GM.53.2.13","DOIUrl":"https://doi.org/10.3336/GM.53.2.13","url":null,"abstract":"We consider a class of parabolic free boundary problems with heterogeneous coefficients including, from a physical point of view, the evolutionary dam problem. We establish existence of a solution for this problem. We use a regularized problem for which we prove existence of a solution by applying the Tychonoff fixed point theorem. Then we pass to the limit to get a solution of our problem. We also give a regularity result of the solutions.","PeriodicalId":55601,"journal":{"name":"Glasnik Matematicki","volume":"1 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2018-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72643680","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
Near-idempotents, near-nilpotents and stability of critical points for Riccati equations Riccati方程的近等幂、近零幂和临界点的稳定性
IF 0.4 4区 数学
Glasnik Matematicki Pub Date : 2018-12-30 DOI: 10.3336/GM.53.2.06
B. Zalar, M. Mencinger, Jadranska Ljubljana Slovenia mechanics
{"title":"Near-idempotents, near-nilpotents and stability of critical points for Riccati equations","authors":"B. Zalar, M. Mencinger, Jadranska Ljubljana Slovenia mechanics","doi":"10.3336/GM.53.2.06","DOIUrl":"https://doi.org/10.3336/GM.53.2.06","url":null,"abstract":"The paper introduces two algebraic concepts, near-idempotents and near-nilpotents associated to subspaces N of critical points, which can be used to re-phrase a theorem due to Boujemaa, El Qotbi and Rouiouih on stability for the Ricatti equation, ẋ = x(t)2, associated to algebra A ≈ R. Using this concepts their result corresponds to the case dim N = 1. Our main results are a generalization of the above mentioned theorem to N of arbitrary dimension and a counter-example which shows, even in the general setting, that the essential condition that critical points must be eigenvectors of a suitable multiplication operator cannot be omitted from the formulation due to Boujemaa et al.","PeriodicalId":55601,"journal":{"name":"Glasnik Matematicki","volume":"1 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2018-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78593167","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 4
On unbounded polynomial dynamical systems 关于无界多项式动力系统
IF 0.4 4区 数学
Glasnik Matematicki Pub Date : 2018-12-30 DOI: 10.3336/gm.53.2.07
Hamza Boujemaa, Said El Qotbi
{"title":"On unbounded polynomial dynamical systems","authors":"Hamza Boujemaa, Said El Qotbi","doi":"10.3336/gm.53.2.07","DOIUrl":"https://doi.org/10.3336/gm.53.2.07","url":null,"abstract":"Suppose given a polynomial dynamical system of degree m. It is known that if the algebra associated to the corresponding homogeneous dynamical system of degree m has an idempotent element then the original dynamical system is unbounded. In this work, we give a sufficient condition ensuring the unboundedness even when there is no idempotent. Some applications are also given.","PeriodicalId":55601,"journal":{"name":"Glasnik Matematicki","volume":"18 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2018-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76597494","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
Uniqueness of solution of a heterogeneous evolution dam problem associated with a compressible fluid flow through a rectangular porous medium 可压缩流体流过矩形多孔介质的非均质演化坝问题解的唯一性
IF 0.4 4区 数学
Glasnik Matematicki Pub Date : 2018-11-20 DOI: 10.3336/gm.55.1.08
E. Zaouche
{"title":"Uniqueness of solution of a heterogeneous evolution dam problem associated with a compressible fluid flow through a rectangular porous medium","authors":"E. Zaouche","doi":"10.3336/gm.55.1.08","DOIUrl":"https://doi.org/10.3336/gm.55.1.08","url":null,"abstract":"This paper is concerned with an uniqueness of solution of the weak formulation of an evolution dam problem related to a compressible fluid flow through a two-dimensional, rectangular and heterogeneous porous medium. Note that our problem associated with the equation a(x_1)(u_{x_2}+chi)_{x_2}-(u+chi)_t=0. Our technique is based on the idea that we transform the weak form of this equation into a similar situation to the proof of the uniqueness in the incompressible case (see [12]). It is also difficult to adapt the proof obtained in [12] by using some properties of the solutions as in [12, Sect. 2].","PeriodicalId":55601,"journal":{"name":"Glasnik Matematicki","volume":"76 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2018-11-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79502514","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
On the existence of S-Diophantine quadruples 论s -丢番图四重体的存在性
IF 0.4 4区 数学
Glasnik Matematicki Pub Date : 2018-07-09 DOI: 10.3336/gm.54.2.03
V. Ziegler
{"title":"On the existence of S-Diophantine quadruples","authors":"V. Ziegler","doi":"10.3336/gm.54.2.03","DOIUrl":"https://doi.org/10.3336/gm.54.2.03","url":null,"abstract":"Let $S$ be a set of primes. We call an $m$-tuple $(a_1,ldots,a_m)$ of distinct, positive integers $S$-Diophantine, if for all $ineq j$ the integers $s_{i,j}:=a_ia_j+1$ have only prime divisors coming from the set $S$, i.e. if all $s_{i,j}$ are $S$-units. In this paper, we show that no $S$-Diophantine quadruple (i.e.~$m=4$) exists if $S={3,q}$. Furthermore we show that for all pairs of primes $(p,q)$ with $p<q$ and $pequiv 3mod 4$ no ${p,q}$-Diophantine quadruples exist, provided that $(p,q)$ is not a Wieferich prime pair.","PeriodicalId":55601,"journal":{"name":"Glasnik Matematicki","volume":"13 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2018-07-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74479545","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
Existence and boundedness of solutions for systems of difference equations with infinite delay 无穷时滞差分方程解的存在性和有界性
IF 0.4 4区 数学
Glasnik Matematicki Pub Date : 2018-06-19 DOI: 10.3336/GM.53.1.09
J. Nieto, A. Ouahab, M. Slimani
{"title":"Existence and boundedness of solutions for systems of difference equations with infinite delay","authors":"J. Nieto, A. Ouahab, M. Slimani","doi":"10.3336/GM.53.1.09","DOIUrl":"https://doi.org/10.3336/GM.53.1.09","url":null,"abstract":". In this work we first establish some existence results fol-lowed by boundedness behavior and asymptotic behavior of solutions for systems of difference equations with infinite delay. Our approach is based on a Perov fixed point theorem in vector metric space. We apply our results to a system of Volterra difference equations. retarded functional difference equations in phase space have great importance in applications. Consequently, the theory of difference equations with infinite delay of several authors. Qualitative analysis, discrete maximal regularity, exponential dichotomy, and periodicity 30, 31]. information on functional difference equations, we","PeriodicalId":55601,"journal":{"name":"Glasnik Matematicki","volume":"23 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2018-06-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87028580","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 4
Commutative operators for double Yangian DY(sln) 双Yangian DY(sln)的交换算子
IF 0.4 4区 数学
Glasnik Matematicki Pub Date : 2018-06-19 DOI: 10.3336/GM.53.1.07
S. Kožić
{"title":"Commutative operators for double Yangian DY(sln)","authors":"S. Kožić","doi":"10.3336/GM.53.1.07","DOIUrl":"https://doi.org/10.3336/GM.53.1.07","url":null,"abstract":"","PeriodicalId":55601,"journal":{"name":"Glasnik Matematicki","volume":"106 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2018-06-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78460279","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
Globally exact operator spaces 全局精确算子空间
IF 0.4 4区 数学
Glasnik Matematicki Pub Date : 2018-06-19 DOI: 10.3336/gm.53.1.12
M. Amini, A. Medghalchi, Hamed Nikpey
{"title":"Globally exact operator spaces","authors":"M. Amini, A. Medghalchi, Hamed Nikpey","doi":"10.3336/gm.53.1.12","DOIUrl":"https://doi.org/10.3336/gm.53.1.12","url":null,"abstract":"","PeriodicalId":55601,"journal":{"name":"Glasnik Matematicki","volume":"116 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2018-06-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79818080","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Strong Eulerian triples 强欧拉三元组
IF 0.4 4区 数学
Glasnik Matematicki Pub Date : 2018-02-01 DOI: 10.3336/gm.53.1.03
A. Dujella, Ivica Gusi'c, Vinko Petrivcevi'c, P. Tadi'c
{"title":"Strong Eulerian triples","authors":"A. Dujella, Ivica Gusi'c, Vinko Petrivcevi'c, P. Tadi'c","doi":"10.3336/gm.53.1.03","DOIUrl":"https://doi.org/10.3336/gm.53.1.03","url":null,"abstract":"We prove that there exist infinitely many rationals a, b and c with the property that a^2-1, b^2-1, c^2-1, ab-1, ac-1 and bc-1 are all perfect squares. This provides a solution to a variant of the problem studied by Diophantus and Euler.","PeriodicalId":55601,"journal":{"name":"Glasnik Matematicki","volume":"2 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2018-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75218335","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 4
On the combinatorics of faces of trees and anodyne extensions of dendroidal sets 树形面的组合与树形集的无痛扩展
IF 0.4 4区 数学
Glasnik Matematicki Pub Date : 2018-01-28 DOI: 10.3336/gm.53.2.11
M. Bašić
{"title":"On the combinatorics of faces of trees and anodyne extensions of dendroidal sets","authors":"M. Bašić","doi":"10.3336/gm.53.2.11","DOIUrl":"https://doi.org/10.3336/gm.53.2.11","url":null,"abstract":"We discuss the combinatorics of faces of trees in the context of dendroidal sets and develop a systematic treatment of dendroidal anodyne extensions. As the main example and our motivation, we prove the pushout-product property for the stable model structure on dendroidal sets.","PeriodicalId":55601,"journal":{"name":"Glasnik Matematicki","volume":"15 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2018-01-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76311063","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","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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