Pub Date : 2021-05-20DOI: 10.24193/MATHCLUJ.2021.1.08
Mohammed Amine Ghezzar, D. Bouagada, K. Benyettou, M. Chadli, P. Van Dooren
This paper addresses the problem of stability for general two-dimensional (2D) discrete-time and continuous-discrete time Lyapunov systems, where the linear matrix inequalities (LMI's) approach is applied to derive a new sufficient condition for the asymptotic stability.
{"title":"On the stability of 2D general Roesser Lyapunov systems","authors":"Mohammed Amine Ghezzar, D. Bouagada, K. Benyettou, M. Chadli, P. Van Dooren","doi":"10.24193/MATHCLUJ.2021.1.08","DOIUrl":"https://doi.org/10.24193/MATHCLUJ.2021.1.08","url":null,"abstract":"This paper addresses the problem of stability for general two-dimensional (2D) discrete-time and continuous-discrete time Lyapunov systems, where the linear matrix inequalities (LMI's) approach is applied to derive a new sufficient condition for the asymptotic stability.","PeriodicalId":39356,"journal":{"name":"Mathematica","volume":"63 (86) 1","pages":"85-97"},"PeriodicalIF":0.0,"publicationDate":"2021-05-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43987383","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}
Pub Date : 2020-05-25DOI: 10.24193/mathcluj.2020.1.09
Parisa Seifizadeh, M. M. Nasrabadi
. Let G be a group and let M be a characteristic subgroup of G . We denote by Aut MM ( G ) the set of all automorphisms of G which centralize G/M and M. In this paper, we give necessary and sufficient conditions for the equality of Aut MM ( G ) with Aut M ( G ) and C Aut MM ( G ) ( Z ( G )).
{"title":"On the subcentral automorphisms of finite groups","authors":"Parisa Seifizadeh, M. M. Nasrabadi","doi":"10.24193/mathcluj.2020.1.09","DOIUrl":"https://doi.org/10.24193/mathcluj.2020.1.09","url":null,"abstract":". Let G be a group and let M be a characteristic subgroup of G . We denote by Aut MM ( G ) the set of all automorphisms of G which centralize G/M and M. In this paper, we give necessary and sufficient conditions for the equality of Aut MM ( G ) with Aut M ( G ) and C Aut MM ( G ) ( Z ( G )).","PeriodicalId":39356,"journal":{"name":"Mathematica","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-05-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49142244","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}
Pub Date : 2020-05-25DOI: 10.24193/mathcluj.2020.1.06
B. Hosseini, A. Mirmostafaee
In this paper, we will define a new kind of generalized contractions to establish some common fixed point theorems for self-mappings on Hausdorff uniform spaces endowed with a graph. This new notion enables us to extend some known results in the literature. We also show that our results can be applied to a homotopy theorem. Related examples are also given to support our main results. MSC 2010. Primary: 47H10; Secondary: 47H9,54E15, 05C40, 54H25.
{"title":"Common fixed points for generalized contractions in uniform spaces endowed with a graph","authors":"B. Hosseini, A. Mirmostafaee","doi":"10.24193/mathcluj.2020.1.06","DOIUrl":"https://doi.org/10.24193/mathcluj.2020.1.06","url":null,"abstract":"In this paper, we will define a new kind of generalized contractions to establish some common fixed point theorems for self-mappings on Hausdorff uniform spaces endowed with a graph. This new notion enables us to extend some known results in the literature. We also show that our results can be applied to a homotopy theorem. Related examples are also given to support our main results. MSC 2010. Primary: 47H10; Secondary: 47H9,54E15, 05C40, 54H25.","PeriodicalId":39356,"journal":{"name":"Mathematica","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-05-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47598780","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}
Pub Date : 2019-12-01DOI: 10.24193/mathcluj.2019.2.06
Rekia Messiouene, A. Senoussaoui
{"title":"The boundedness of a class of semiclassical Fourier integral operators on Besov spaces","authors":"Rekia Messiouene, A. Senoussaoui","doi":"10.24193/mathcluj.2019.2.06","DOIUrl":"https://doi.org/10.24193/mathcluj.2019.2.06","url":null,"abstract":"","PeriodicalId":39356,"journal":{"name":"Mathematica","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44223984","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}
Pub Date : 2019-12-01DOI: 10.24193/mathcluj.2019.2.03
Yassamina Hamadi, D. Bouagada, A. Omrane, Um
{"title":"Sentinels for an epidemiological SIR model with spatial diffusion","authors":"Yassamina Hamadi, D. Bouagada, A. Omrane, Um","doi":"10.24193/mathcluj.2019.2.03","DOIUrl":"https://doi.org/10.24193/mathcluj.2019.2.03","url":null,"abstract":"","PeriodicalId":39356,"journal":{"name":"Mathematica","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45937160","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}
Pub Date : 2019-12-01DOI: 10.24193/mathcluj.2019.2.05
E. Mazi, T. Opoola
{"title":"A newly defined subclass of bi-univalent functions satisfying subordinate conditions","authors":"E. Mazi, T. Opoola","doi":"10.24193/mathcluj.2019.2.05","DOIUrl":"https://doi.org/10.24193/mathcluj.2019.2.05","url":null,"abstract":"","PeriodicalId":39356,"journal":{"name":"Mathematica","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41458425","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}
Pub Date : 2019-12-01DOI: 10.24193/mathcluj.2019.2.09
B. Tolue
{"title":"On the non-commuting graph of a group","authors":"B. Tolue","doi":"10.24193/mathcluj.2019.2.09","DOIUrl":"https://doi.org/10.24193/mathcluj.2019.2.09","url":null,"abstract":"","PeriodicalId":39356,"journal":{"name":"Mathematica","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46809899","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}
Pub Date : 2019-12-01DOI: 10.24193/mathcluj.2019.2.01
A. Al-Omari, T. Noiri
Quite recently, a new minimal structure mH has been introduced in [12] by using a minimal structure m and a hereditary class H. In this paper, we introduce and investigate an operator ΓmH , (?)-strongly m-codense hereditary class H and a minimal structure m which is said to be m-compatible with a hereditary class H in a hereditary m-space (X,m, H). MSC 2010. 54A05, 54A10.
{"title":"Operators in minimal spaces with hereditary classes","authors":"A. Al-Omari, T. Noiri","doi":"10.24193/mathcluj.2019.2.01","DOIUrl":"https://doi.org/10.24193/mathcluj.2019.2.01","url":null,"abstract":"Quite recently, a new minimal structure mH has been introduced in [12] by using a minimal structure m and a hereditary class H. In this paper, we introduce and investigate an operator ΓmH , (?)-strongly m-codense hereditary class H and a minimal structure m which is said to be m-compatible with a hereditary class H in a hereditary m-space (X,m, H). MSC 2010. 54A05, 54A10.","PeriodicalId":39356,"journal":{"name":"Mathematica","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47789585","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}
Pub Date : 2019-12-01DOI: 10.24193/mathcluj.2019.2.08
Iulian I. Simion
{"title":"Sheets of conjugacy classes in simple algebraic groups","authors":"Iulian I. Simion","doi":"10.24193/mathcluj.2019.2.08","DOIUrl":"https://doi.org/10.24193/mathcluj.2019.2.08","url":null,"abstract":"","PeriodicalId":39356,"journal":{"name":"Mathematica","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44400521","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}
Pub Date : 2019-12-01DOI: 10.24193/mathcluj.2019.2.02
B. Daraby, F. Delzendeh, A. Rahimi
{"title":"Some properties of fuzzy normed linear spaces and fuzzy Riesz bases","authors":"B. Daraby, F. Delzendeh, A. Rahimi","doi":"10.24193/mathcluj.2019.2.02","DOIUrl":"https://doi.org/10.24193/mathcluj.2019.2.02","url":null,"abstract":"","PeriodicalId":39356,"journal":{"name":"Mathematica","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41471208","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}
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