Pub Date : 2024-05-17DOI: 10.1142/s1664360724500061
A. Alsaedi, Martin Bohner, Bashir Ahmad, Boshra Alharbi
{"title":"On a fully coupled nonlocal multipoint boundary value problem for a dual hybrid system of nonlinear q-fractional differential equations","authors":"A. Alsaedi, Martin Bohner, Bashir Ahmad, Boshra Alharbi","doi":"10.1142/s1664360724500061","DOIUrl":"https://doi.org/10.1142/s1664360724500061","url":null,"abstract":"","PeriodicalId":9348,"journal":{"name":"Bulletin of Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2024-05-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140962875","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-05-10DOI: 10.1142/s166436072450005x
Ahmed Mohammed, Antonio Vitolo
{"title":"The effects of nonlinear perturbation terms on comparison principles for the p-Laplacian","authors":"Ahmed Mohammed, Antonio Vitolo","doi":"10.1142/s166436072450005x","DOIUrl":"https://doi.org/10.1142/s166436072450005x","url":null,"abstract":"","PeriodicalId":9348,"journal":{"name":"Bulletin of Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2024-05-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140992485","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-05-10DOI: 10.1142/s1664360724500048
Xueqi Sun, Yongqiang Fu, Sihua Liang
{"title":"Multiplicity and Concentration of Solutions for Kirchhoff Equations with Exponential Growth","authors":"Xueqi Sun, Yongqiang Fu, Sihua Liang","doi":"10.1142/s1664360724500048","DOIUrl":"https://doi.org/10.1142/s1664360724500048","url":null,"abstract":"","PeriodicalId":9348,"journal":{"name":"Bulletin of Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2024-05-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140993450","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-12-01DOI: 10.1142/s1664360723990011
{"title":"Author index Volume 13 (2023)","authors":"","doi":"10.1142/s1664360723990011","DOIUrl":"https://doi.org/10.1142/s1664360723990011","url":null,"abstract":"","PeriodicalId":9348,"journal":{"name":"Bulletin of Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139018470","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-10-13DOI: 10.1142/s1664360723500133
Vladimir Dotsenko, Pedro Tamaroff
The celebrated Diamond Lemma of Bergman gives an effectively verifiable criterion of uniqueness of normal forms for term rewriting in associative algebras. We present a new way to interpret and prove this result from the viewpoint of homotopical algebra. Our main result states that every multiplicative free resolution of an algebra with monomial relations gives rise to its own Diamond Lemma, so that Bergman's condition of resolvable ambiguities becomes the first non-trivial component of the Maurer--Cartan equation in the corresponding tangent complex. The same approach works for many other algebraic structures, emphasizing the relevance of computing multiplicative free resolutions of algebras with monomial relations.
{"title":"Tangent complexes and the Diamond Lemma","authors":"Vladimir Dotsenko, Pedro Tamaroff","doi":"10.1142/s1664360723500133","DOIUrl":"https://doi.org/10.1142/s1664360723500133","url":null,"abstract":"The celebrated Diamond Lemma of Bergman gives an effectively verifiable criterion of uniqueness of normal forms for term rewriting in associative algebras. We present a new way to interpret and prove this result from the viewpoint of homotopical algebra. Our main result states that every multiplicative free resolution of an algebra with monomial relations gives rise to its own Diamond Lemma, so that Bergman's condition of resolvable ambiguities becomes the first non-trivial component of the Maurer--Cartan equation in the corresponding tangent complex. The same approach works for many other algebraic structures, emphasizing the relevance of computing multiplicative free resolutions of algebras with monomial relations.","PeriodicalId":9348,"journal":{"name":"Bulletin of Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135804553","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-08-18DOI: 10.1142/s1664360723500121
Xilin Dou, Xiaoming He, Vicentiu D. Rădulescu
{"title":"Multiplicity of Positive Solutions for the Fractional Schrodinger-Poisson System with Critical Nonlocal Term","authors":"Xilin Dou, Xiaoming He, Vicentiu D. Rădulescu","doi":"10.1142/s1664360723500121","DOIUrl":"https://doi.org/10.1142/s1664360723500121","url":null,"abstract":"","PeriodicalId":9348,"journal":{"name":"Bulletin of Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2023-08-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85654632","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-06-13DOI: 10.1142/s1664360723500108
T. Hoffmann-Ostenhof, A. Laptev, Ilya A. Shcherbakov
We obtain sharp Hardy inequalities on antisymmetric functions where antisymmetry is understood for multi-dimensional particles. Partially it is an extension of the previously published paper cite{HL}, where Hardy's inequalities were considered for the antisymmetric functions in the case of the 1D particles. As a byproduct we obtain some Sobolev and Gagliardo-Nirenberg type inequalities that are applied to the study of spectral properties of Schr"odinger operators.
{"title":"Hardy and Sobolev Inequalities on Antisymmetric Functions","authors":"T. Hoffmann-Ostenhof, A. Laptev, Ilya A. Shcherbakov","doi":"10.1142/s1664360723500108","DOIUrl":"https://doi.org/10.1142/s1664360723500108","url":null,"abstract":"We obtain sharp Hardy inequalities on antisymmetric functions where antisymmetry is understood for multi-dimensional particles. Partially it is an extension of the previously published paper cite{HL}, where Hardy's inequalities were considered for the antisymmetric functions in the case of the 1D particles. As a byproduct we obtain some Sobolev and Gagliardo-Nirenberg type inequalities that are applied to the study of spectral properties of Schr\"odinger operators.","PeriodicalId":9348,"journal":{"name":"Bulletin of Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2023-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72595728","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-05-11DOI: 10.1142/s1664360723500091
M. Gil'
{"title":"Delay-dependent Stability Conditions for Differential-difference Equations with Small Commutators in a Banach Space","authors":"M. Gil'","doi":"10.1142/s1664360723500091","DOIUrl":"https://doi.org/10.1142/s1664360723500091","url":null,"abstract":"","PeriodicalId":9348,"journal":{"name":"Bulletin of Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2023-05-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74247642","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-05-08DOI: 10.1142/s166436072350011x
Giovanni Molica Bisci, A. Ortega, L. Vilasi
In this paper, by variational and topological arguments based on linking and $nabla$-theorems, we prove the existence of multiple solutions for the following nonlocal problem with mixed Dirichlet-Neumann boundary data, $$ left{ begin{array}{lcl} (-Delta)^su=lambda u+f(x,u)&&text{in } Omega, [2pt] mkern+39mu u=0&&text{on } Sigma_{mathcal{D}}, [2pt] mkern+26mu displaystyle frac{partial u}{partial nu}=0&&text{on } Sigma_{mathcal{N}}, end{array} right. $$ where $(-Delta)^s$, $sin (1/2,1)$, is the spectral fractional Laplacian operator, $Omegasubsetmathbb{R}^N$, $N>2s$, is a smooth bounded domain, $lambda>0$ is a real parameter, $nu$ is the outward normal to $partialOmega$, $Sigma_{mathcal{D}}$, $Sigma_{mathcal{N}}$ are smooth $(N-1)$-dimensional submanifolds of $partialOmega$ such that $Sigma_{mathcal{D}}cupSigma_{mathcal{N}}=partialOmega$, $Sigma_{mathcal{D}}capSigma_{mathcal{N}}=emptyset$ and $Sigma_{mathcal{D}}capoverline{Sigma}_{mathcal{N}}=Gamma$ is a smooth $(N-2)$-dimensional submanifold of $partialOmega$.
{"title":"Subcritical Nonlocal Problems with Mixed Boundary Conditions","authors":"Giovanni Molica Bisci, A. Ortega, L. Vilasi","doi":"10.1142/s166436072350011x","DOIUrl":"https://doi.org/10.1142/s166436072350011x","url":null,"abstract":"In this paper, by variational and topological arguments based on linking and $nabla$-theorems, we prove the existence of multiple solutions for the following nonlocal problem with mixed Dirichlet-Neumann boundary data, $$ left{ begin{array}{lcl} (-Delta)^su=lambda u+f(x,u)&&text{in } Omega, [2pt] mkern+39mu u=0&&text{on } Sigma_{mathcal{D}}, [2pt] mkern+26mu displaystyle frac{partial u}{partial nu}=0&&text{on } Sigma_{mathcal{N}}, end{array} right. $$ where $(-Delta)^s$, $sin (1/2,1)$, is the spectral fractional Laplacian operator, $Omegasubsetmathbb{R}^N$, $N>2s$, is a smooth bounded domain, $lambda>0$ is a real parameter, $nu$ is the outward normal to $partialOmega$, $Sigma_{mathcal{D}}$, $Sigma_{mathcal{N}}$ are smooth $(N-1)$-dimensional submanifolds of $partialOmega$ such that $Sigma_{mathcal{D}}cupSigma_{mathcal{N}}=partialOmega$, $Sigma_{mathcal{D}}capSigma_{mathcal{N}}=emptyset$ and $Sigma_{mathcal{D}}capoverline{Sigma}_{mathcal{N}}=Gamma$ is a smooth $(N-2)$-dimensional submanifold of $partialOmega$.","PeriodicalId":9348,"journal":{"name":"Bulletin of Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2023-05-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88391421","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-03-18DOI: 10.1142/s1664360723500042
Majid Arezoomand, Mohammad A. Iranmanesh, Cheryl E. Praeger, Gareth Tracey
A finite permutation group [Formula: see text] is called [Formula: see text]-closed if [Formula: see text] is the largest subgroup of [Formula: see text] which leaves invariant each of the [Formula: see text]-orbits for the induced action on [Formula: see text]. Introduced by Wielandt in 1969, the concept of [Formula: see text]-closure has developed as one of the most useful approaches for studying relations on a finite set invariant under a group of permutations of the set; in particular for studying automorphism groups of graphs and digraphs. The concept of total [Formula: see text]-closure switches attention from a particular group action, and is a property intrinsic to the group: a finite group [Formula: see text] is said to be totally [Formula: see text]-closed if [Formula: see text] is [Formula: see text]-closed in each of its faithful permutation representations. There are infinitely many finite soluble totally [Formula: see text]-closed groups, and these have been completely characterized, but up to now no insoluble examples were known. It turns out, somewhat surprisingly to us, that there are exactly [Formula: see text] totally [Formula: see text]-closed finite nonabelian simple groups: the Janko groups [Formula: see text], [Formula: see text] and [Formula: see text], together with [Formula: see text], [Formula: see text] and the Monster [Formula: see text]. Moreover, if a finite totally [Formula: see text]-closed group has no nontrivial abelian normal subgroup, then we show that it is a direct product of some (but not all) of these simple groups, and there are precisely [Formula: see text] examples. In the course of obtaining this classification, we develop a general framework for studying [Formula: see text]-closures of transitive permutation groups, which we hope will prove useful for investigating representations of finite groups as automorphism groups of graphs and digraphs, and in particular for attacking the long-standing polycirculant conjecture. In this direction, we apply our results, proving a dual to a 1939 theorem of Frucht from Algebraic Graph Theory. We also pose several open questions concerning closures of permutation groups.
{"title":"Totally 2-closed finite groups with trivial Fitting subgroup","authors":"Majid Arezoomand, Mohammad A. Iranmanesh, Cheryl E. Praeger, Gareth Tracey","doi":"10.1142/s1664360723500042","DOIUrl":"https://doi.org/10.1142/s1664360723500042","url":null,"abstract":"A finite permutation group [Formula: see text] is called [Formula: see text]-closed if [Formula: see text] is the largest subgroup of [Formula: see text] which leaves invariant each of the [Formula: see text]-orbits for the induced action on [Formula: see text]. Introduced by Wielandt in 1969, the concept of [Formula: see text]-closure has developed as one of the most useful approaches for studying relations on a finite set invariant under a group of permutations of the set; in particular for studying automorphism groups of graphs and digraphs. The concept of total [Formula: see text]-closure switches attention from a particular group action, and is a property intrinsic to the group: a finite group [Formula: see text] is said to be totally [Formula: see text]-closed if [Formula: see text] is [Formula: see text]-closed in each of its faithful permutation representations. There are infinitely many finite soluble totally [Formula: see text]-closed groups, and these have been completely characterized, but up to now no insoluble examples were known. It turns out, somewhat surprisingly to us, that there are exactly [Formula: see text] totally [Formula: see text]-closed finite nonabelian simple groups: the Janko groups [Formula: see text], [Formula: see text] and [Formula: see text], together with [Formula: see text], [Formula: see text] and the Monster [Formula: see text]. Moreover, if a finite totally [Formula: see text]-closed group has no nontrivial abelian normal subgroup, then we show that it is a direct product of some (but not all) of these simple groups, and there are precisely [Formula: see text] examples. In the course of obtaining this classification, we develop a general framework for studying [Formula: see text]-closures of transitive permutation groups, which we hope will prove useful for investigating representations of finite groups as automorphism groups of graphs and digraphs, and in particular for attacking the long-standing polycirculant conjecture. In this direction, we apply our results, proving a dual to a 1939 theorem of Frucht from Algebraic Graph Theory. We also pose several open questions concerning closures of permutation groups.","PeriodicalId":9348,"journal":{"name":"Bulletin of Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-03-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135243917","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
京公网安备 11010802042870号
京ICP备2023020795号-1
扫码关注我们
求助内容：
应助结果提醒方式：