The line digraph of the Cayley color graph of a transitive groupoid can be colored so that the groupoid of partial automorphisms is isomorphic to a semidirect product of the original groupoid.
传递群拟的Cayley色图的线向图可以上色，使得部分自同构的群拟与原群拟的半直积同构。
{"title":"Cayley line graphs of transitive groupoids","authors":"Nándor Sieben","doi":"10.18514/mmn.2023.1651","DOIUrl":"https://doi.org/10.18514/mmn.2023.1651","url":null,"abstract":"The line digraph of the Cayley color graph of a transitive groupoid can be colored so that the groupoid of partial automorphisms is isomorphic to a semidirect product of the original groupoid.","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":"68203717","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":"A new approach to homotopy theory via best proximity point","authors":"H. Sahin","doi":"10.18514/mmn.2023.3674","DOIUrl":"https://doi.org/10.18514/mmn.2023.3674","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":"68204641","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":"Weighted Hermite-Hadamard type inequalities for differentiable preinvex and prequasiinvex mappings","authors":"M. Latif","doi":"10.18514/mmn.2023.3811","DOIUrl":"https://doi.org/10.18514/mmn.2023.3811","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":"68204959","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":"Herstein's theorem for pair of generalized derivations on prime rings with involution","authors":"Mohammad Salahuddin Khan","doi":"10.18514/mmn.2023.3660","DOIUrl":"https://doi.org/10.18514/mmn.2023.3660","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":"68204220","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 existence of bounded solutions on real axis R of linear systems of generalized ordinary differential equations","authors":"M. Ashordia","doi":"10.18514/mmn.2023.3821","DOIUrl":"https://doi.org/10.18514/mmn.2023.3821","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":"68205066","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":"Solutions of certain class of non-linear time-fractional diffusion equations via the fractional differential transform method","authors":"M. Bozer, M. A. Özarslan, Hülya Demez","doi":"10.18514/mmn.2023.4023","DOIUrl":"https://doi.org/10.18514/mmn.2023.4023","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":"68206568","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}
. In this paper, our main focus is to establish complete monotonicity properties, convexity properties and some interesting inequalities for the Barnes Mittag-Leffler function. Furthermore, monotonicity properties of ratios of Barnes Mittag-Leffler functions are derived. Moreover, Tur´an type inequalities and several new inequalities are obtained for this function as application. Results obtained in this work are new and their importance is illustrated by several attractive consequences and corollaries.
{"title":"Monotonicity properties and functional inequalities for the Barnes Mittag-Leffler function","authors":"K. Mehrez, Sourav Das, Anish Kumar","doi":"10.18514/mmn.2023.3997","DOIUrl":"https://doi.org/10.18514/mmn.2023.3997","url":null,"abstract":". In this paper, our main focus is to establish complete monotonicity properties, convexity properties and some interesting inequalities for the Barnes Mittag-Leffler function. Furthermore, monotonicity properties of ratios of Barnes Mittag-Leffler functions are derived. Moreover, Tur´an type inequalities and several new inequalities are obtained for this function as application. Results obtained in this work are new and their importance is illustrated by several attractive consequences and corollaries.","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":"68206691","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}
. 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}
. In this work, we define Rad −⊕− supplemented and strongly Rad −⊕− supplemented lattices and give some properties of these lattices. We generalize some properties of Rad − ⊕ − supplemented modules to lattices. Let L be a lattice and 1 = a 1 ⊕ a 2 ⊕ ... ⊕ a n with a 1 , a 2 ,..., a n ∈ L . If a i / 0 is Rad −⊕− supplemented for every i = 1 , 2 ,..., n , then L is also Rad −⊕− supplemented. Let L be a distributive Rad −⊕− supplemented lattice. Then 1 / u is Rad −⊕− supplemented for every u ∈ L . We also define completely Rad −⊕− supplemented lattices and prove that every Rad −⊕− supplemented lattice with SSP property is completely Rad −⊕− supplemented.
． 本文定义了Rad−⊕-补充格和强Rad−⊕-补充格，并给出了这些格的一些性质。我们将Rad−⊕−补充模的一些性质推广到格上。设L是一个晶格，1 = a 1⊕a 2⊕…★★★★★★★★★， a n∈L。如果a i / 0为Rad−⊕−，对于每个i = 1,2，…，则L也是Rad−⊕−的补充。设L是一个分布的Rad−⊕−补格。则对于每一个u∈L, 1 / u为Rad−⊕−补充。我们还定义了完全Rad−⊕-补充格，并证明了所有具有SSP性质的Rad−⊕-补充格都是完全Rad−⊕-补充格。
{"title":"Rad−⊕−supplemented lattices","authors":"Ç. Biçer, C. Nebiyev","doi":"10.18514/mmn.2023.4030","DOIUrl":"https://doi.org/10.18514/mmn.2023.4030","url":null,"abstract":". In this work, we define Rad −⊕− supplemented and strongly Rad −⊕− supplemented lattices and give some properties of these lattices. We generalize some properties of Rad − ⊕ − supplemented modules to lattices. Let L be a lattice and 1 = a 1 ⊕ a 2 ⊕ ... ⊕ a n with a 1 , a 2 ,..., a n ∈ L . If a i / 0 is Rad −⊕− supplemented for every i = 1 , 2 ,..., n , then L is also Rad −⊕− supplemented. Let L be a distributive Rad −⊕− supplemented lattice. Then 1 / u is Rad −⊕− supplemented for every u ∈ L . We also define completely Rad −⊕− supplemented lattices and prove that every Rad −⊕− supplemented lattice with SSP property is completely Rad −⊕− supplemented.","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":"68206284","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}
. In this article, our objective is to study the oscillation of first order nonlinear delay differential equation
． 本文的目的是研究一阶非线性时滞微分方程的振动性
{"title":"A new oscillation result for nonlinear differential equations with nonmonotone delay","authors":"N. Kılıç, Özkan Öcalan","doi":"10.18514/mmn.2023.4015","DOIUrl":"https://doi.org/10.18514/mmn.2023.4015","url":null,"abstract":". In this article, our objective is to study the oscillation of first order nonlinear delay differential equation","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":"68206390","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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