. In the present paper, we study the existence of at least one weak solution for a class of double phase variable exponent problem with a reaction term depending on the gradient and on two real parameters. By using the topological degree theory for a class of demicontinuous operators of generalized ( S + ) and the theory of the variable exponent Sobolev spaces, we obtain the existence of at least one weak solution of this problem.
{"title":"Existence of weak solutions for a double phase variable exponent problem with a gradient dependent reaction term","authors":"Mohamed El Ouaarabi, C. Allalou, S. Melliani","doi":"10.18514/mmn.2023.4119","DOIUrl":"https://doi.org/10.18514/mmn.2023.4119","url":null,"abstract":". In the present paper, we study the existence of at least one weak solution for a class of double phase variable exponent problem with a reaction term depending on the gradient and on two real parameters. By using the topological degree theory for a class of demicontinuous operators of generalized ( S + ) and the theory of the variable exponent Sobolev spaces, we obtain the existence of at least one weak solution of this problem.","PeriodicalId":49806,"journal":{"name":"Miskolc Mathematical Notes","volume":"1 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68207660","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}
{"title":"Integrations on lattices","authors":"Mourad Yettou, A. Amroune, L. Zedam","doi":"10.18514/mmn.2023.3382","DOIUrl":"https://doi.org/10.18514/mmn.2023.3382","url":null,"abstract":"","PeriodicalId":49806,"journal":{"name":"Miskolc Mathematical Notes","volume":"1 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68204214","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}
{"title":"S-copure submodules of a module","authors":"Faranak Farshadifar","doi":"10.18514/mmn.2023.3782","DOIUrl":"https://doi.org/10.18514/mmn.2023.3782","url":null,"abstract":"","PeriodicalId":49806,"journal":{"name":"Miskolc Mathematical Notes","volume":"1 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68205003","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}
. This paper aims to introduce various concepts of statistical Riemann-Stieltjes sum via the deferred N¨orlund summability mean for the sequence of functions as well as the sequence of distribution functions. We first establish some fundamental limit theorems for statistical Riemann-Stieltjes sum in the sequence space. Then over the probability sequence space, we establish some more advanced results. Finally, over both the spaces we establish some inclusion theorems via our proposed mean in association with statistical Riemann-Stieltjes integral.
{"title":"A new approach to statistical Riemann-Stieltjes integrals","authors":"B. Jena, S. K. Paikray","doi":"10.18514/mmn.2023.3903","DOIUrl":"https://doi.org/10.18514/mmn.2023.3903","url":null,"abstract":". This paper aims to introduce various concepts of statistical Riemann-Stieltjes sum via the deferred N¨orlund summability mean for the sequence of functions as well as the sequence of distribution functions. We first establish some fundamental limit theorems for statistical Riemann-Stieltjes sum in the sequence space. Then over the probability sequence space, we establish some more advanced results. Finally, over both the spaces we establish some inclusion theorems via our proposed mean in association with statistical Riemann-Stieltjes integral.","PeriodicalId":49806,"journal":{"name":"Miskolc Mathematical Notes","volume":"1 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68205717","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}
{"title":"Non-existence of solution of Haraux-Weissler equation on a strictly starshped domain","authors":"A. Razani","doi":"10.18514/mmn.2023.3936","DOIUrl":"https://doi.org/10.18514/mmn.2023.3936","url":null,"abstract":"","PeriodicalId":49806,"journal":{"name":"Miskolc Mathematical Notes","volume":"1 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68206051","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}
{"title":"On the von Karman's equation in the nonlinear theory of gas dynamics","authors":"O. Jokhadze","doi":"10.18514/mmn.2023.3988","DOIUrl":"https://doi.org/10.18514/mmn.2023.3988","url":null,"abstract":"","PeriodicalId":49806,"journal":{"name":"Miskolc Mathematical Notes","volume":"1 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68206662","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}
{"title":"Convergence relation between solutions of a p(x)-Landau-Lifschitz type and p(x)-harmonic maps","authors":"Bei Wang","doi":"10.18514/mmn.2023.4090","DOIUrl":"https://doi.org/10.18514/mmn.2023.4090","url":null,"abstract":"","PeriodicalId":49806,"journal":{"name":"Miskolc Mathematical Notes","volume":"1 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68207070","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}
. A ring R is said to be n -fine if every nonzero element in R can be written as a sum of a nilpotent and n units in R. The class of these rings contains fine rings and n -good rings in which each element is a sum of n units. Fundamental properties of such rings are obtained. One of the main results of this paper is that the m × m matrix ring M m ( R ) over any arbitrary ring R is 2-fine. Furthermore, the m × m matrix ring M m ( R ) over a n -fine ring R is n -fine.
． 是说to be A环R n -fine,如果每nonzero元素在R可以成为美国就读(sum of A nilpotent and n单位在R级》。这些戒指containsfine每响与n -响》,这是元素A sum of n单位。《指环》的基本性质受到质疑。玩results》这篇文章的一个那是mm×m矩阵环(R)通过任何arbitrary环R是2 -fine)。Furthermore,《mm×m矩阵环(R)通过a n -fi东北环R是n -fine。
{"title":"n-fine rings","authors":"Nabil Zeidi","doi":"10.18514/mmn.2023.3724","DOIUrl":"https://doi.org/10.18514/mmn.2023.3724","url":null,"abstract":". A ring R is said to be n -fine if every nonzero element in R can be written as a sum of a nilpotent and n units in R. The class of these rings contains fine rings and n -good rings in which each element is a sum of n units. Fundamental properties of such rings are obtained. One of the main results of this paper is that the m × m matrix ring M m ( R ) over any arbitrary ring R is 2-fine. Furthermore, the m × m matrix ring M m ( R ) over a n -fine ring R is n -fine.","PeriodicalId":49806,"journal":{"name":"Miskolc Mathematical Notes","volume":"62 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68204245","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}
B. Ahmad, A. Alsaedi, Fawziah M. Alotaibi, M. Alghanmi
{"title":"Nonlinear coupled Liouville-Caputo fractional differential equations with a new class of nonlocal boundary conditions","authors":"B. Ahmad, A. Alsaedi, Fawziah M. Alotaibi, M. Alghanmi","doi":"10.18514/mmn.2023.3839","DOIUrl":"https://doi.org/10.18514/mmn.2023.3839","url":null,"abstract":"","PeriodicalId":49806,"journal":{"name":"Miskolc Mathematical Notes","volume":"1 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68205538","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}
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