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Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica最新文献

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An integro-differential inequality related to the smallest positive eigenvalue of p(x)-Laplacian Dirichlet problem 一个关于p(x)最小正特征值的积分微分不等式-拉普拉斯狄利克雷问题
IF 0.9
Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica Pub Date : 2016-12-01 DOI: 10.1515/AUPCSM-2016-0003
Damian Wiśniewski, Mariusz Bodzioch
{"title":"An integro-differential inequality related to the smallest positive eigenvalue of p(x)-Laplacian Dirichlet problem","authors":"Damian Wiśniewski, Mariusz Bodzioch","doi":"10.1515/AUPCSM-2016-0003","DOIUrl":"https://doi.org/10.1515/AUPCSM-2016-0003","url":null,"abstract":"Abstract We consider the eigenvalue problem for the p(x)-Laplace-Beltrami operator on the unit sphere. We prove same integro-differential inequalities related to the smallest positive eigenvalue of this problem.","PeriodicalId":53863,"journal":{"name":"Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica","volume":"30 1","pages":"27 - 36"},"PeriodicalIF":0.9,"publicationDate":"2016-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83332436","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}
引用次数: 0
On the superstability of the cosine and sine type functional equations 余弦型和正弦型泛函方程的超稳定性
IF 0.9
Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica Pub Date : 2016-11-29 DOI: 10.1515/AUPCSM-2016-0010
F. Lehlou, M. Moussa, A. Roukbi, S. Kabbaj
{"title":"On the superstability of the cosine and sine type functional equations","authors":"F. Lehlou, M. Moussa, A. Roukbi, S. Kabbaj","doi":"10.1515/AUPCSM-2016-0010","DOIUrl":"https://doi.org/10.1515/AUPCSM-2016-0010","url":null,"abstract":"Abstract In this paper, we study the superstablity problem of the cosine and sine type functional equations: f(xσ(y)a)+f(xya)=2f(x)f(y) $$f(xsigma (y)a) + f(xya) = 2f(x)f(y)$$ and f(xσ(y)a)−f(xya)=2f(x)f(y), $$f(xsigma (y)a) - f(xya) = 2f(x)f(y),$$ where f : S → ℂ is a complex valued function; S is a semigroup; σ is an involution of S and a is a fixed element in the center of S.","PeriodicalId":53863,"journal":{"name":"Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica","volume":"44 1","pages":"113 - 121"},"PeriodicalIF":0.9,"publicationDate":"2016-11-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73671823","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}
引用次数: 2
New method to solve certain differential equations 求解某些微分方程的新方法
IF 0.9
Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica Pub Date : 2016-11-21 DOI: 10.1515/AUPCSM-2016-0009
K. Rajchel, J. Szczȩsny
{"title":"New method to solve certain differential equations","authors":"K. Rajchel, J. Szczȩsny","doi":"10.1515/AUPCSM-2016-0009","DOIUrl":"https://doi.org/10.1515/AUPCSM-2016-0009","url":null,"abstract":"Abstract A new method to solve stationary one-dimensional Schroedinger equation is investigated. Solutions are described by means of representation of circles with multiple winding number. The results are demonstrated using the well-known analytical solutions of the Schroedinger equation.","PeriodicalId":53863,"journal":{"name":"Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica","volume":"48 1","pages":"107 - 111"},"PeriodicalIF":0.9,"publicationDate":"2016-11-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85890101","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}
引用次数: 4
Construction of a common element for the set of solutions of fixed point problems and generalized equilibrium problems in Hilbert spaces Hilbert空间中不动点问题和广义平衡问题解集的公共元构造
IF 0.9
Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica Pub Date : 2016-11-09 DOI: 10.1515/AUPCSM-2016-0007
M. A. A. Khan
{"title":"Construction of a common element for the set of solutions of fixed point problems and generalized equilibrium problems in Hilbert spaces","authors":"M. A. A. Khan","doi":"10.1515/AUPCSM-2016-0007","DOIUrl":"https://doi.org/10.1515/AUPCSM-2016-0007","url":null,"abstract":"Abstract In this paper, we propose and analyse an iterative algorithm for the approximation of a common solution for a finite family of k-strict pseudocontractions and two finite families of generalized equilibrium problems in the setting of Hilbert spaces. Strong convergence results of the proposed iterative algorithm together with some applications to solve the variational inequality problems are established in such setting. Our results generalize and improve various existing results in the current literature.","PeriodicalId":53863,"journal":{"name":"Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica","volume":"35 1","pages":"79 - 96"},"PeriodicalIF":0.9,"publicationDate":"2016-11-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75038194","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}
引用次数: 0
Strong ideals and horizontal ideals in pseudo-BCH-algebras 伪bch -代数中的强理想和水平理想
IF 0.9
Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica Pub Date : 2016-04-22 DOI: 10.1515/AUPCSM-2016-0002
A. Walendziak
{"title":"Strong ideals and horizontal ideals in pseudo-BCH-algebras","authors":"A. Walendziak","doi":"10.1515/AUPCSM-2016-0002","DOIUrl":"https://doi.org/10.1515/AUPCSM-2016-0002","url":null,"abstract":"Abstract In this paper we define strong ideals and horizontal ideals in pseudo-BCH-algebras and investigate the properties and characterizations of them.","PeriodicalId":53863,"journal":{"name":"Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica","volume":"6 1","pages":"15 - 25"},"PeriodicalIF":0.9,"publicationDate":"2016-04-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75404462","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}
引用次数: 2
On the superstability of generalized d’Alembert harmonic functions 广义d 'Alembert调和函数的超稳定性
IF 0.9
Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica Pub Date : 2016-01-17 DOI: 10.1515/AUPCSM-2016-0001
Iz-iddine El-Fassi
{"title":"On the superstability of generalized d’Alembert harmonic functions","authors":"Iz-iddine El-Fassi","doi":"10.1515/AUPCSM-2016-0001","DOIUrl":"https://doi.org/10.1515/AUPCSM-2016-0001","url":null,"abstract":"Abstract The aim of this paper is to study the superstability problem of the d’Alembert type functional equation f(x+y+z)+f(x+y+σ(z))+f(x+σ(y)+z)+f(σ(x)+y+z)=4f(x)f(y)f(z) $$f(x + y + z) + f(x + y + sigma (z)) + f(x + sigma (y) + z) + f(sigma (x) + y + z) = 4f(x)f(y)f(z)$$ for all x, y, z ∈ G, where G is an abelian group and σ : G → G is an endomorphism such that σ(σ(x)) = x for an unknown function f from G into ℂ or into a commutative semisimple Banach algebra.","PeriodicalId":53863,"journal":{"name":"Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica","volume":"14 1","pages":"5 - 13"},"PeriodicalIF":0.9,"publicationDate":"2016-01-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75452912","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}
引用次数: 0
A note on preserving the spark of a matrix 关于保存矩阵火花的注释
IF 0.9
Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica Pub Date : 2015-12-01 DOI: 10.1515/AUPCSM-2015-0005
M. Skrzyński
{"title":"A note on preserving the spark of a matrix","authors":"M. Skrzyński","doi":"10.1515/AUPCSM-2015-0005","DOIUrl":"https://doi.org/10.1515/AUPCSM-2015-0005","url":null,"abstract":"Abstract Let Mm×n(F) be the vector space of all m×n matrices over a field F. In the case where m ≥ n, char(F) ≠ 2 and F has at least five elements, we give a complete characterization of linear maps Φ: Mm×n(F) → Mm×n(F) such that spark(Φ(A)) = spark(A) for any A ∈Mm×n(F).","PeriodicalId":53863,"journal":{"name":"Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica","volume":"12 1","pages":"63 - 67"},"PeriodicalIF":0.9,"publicationDate":"2015-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78756910","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}
引用次数: 1
Stability of a generalization of the Fréchet functional equation fr<s:1>切特泛函方程推广的稳定性
IF 0.9
Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica Pub Date : 2015-12-01 DOI: 10.1515/AUPCSM-2015-0006
Renata Malejki
{"title":"Stability of a generalization of the Fréchet functional equation","authors":"Renata Malejki","doi":"10.1515/AUPCSM-2015-0006","DOIUrl":"https://doi.org/10.1515/AUPCSM-2015-0006","url":null,"abstract":"Abstract We prove some stability and hyperstability results for a generalization of the well known Fréchet functional equation, stemming from one of the characterizations of the inner product spaces. As the main tool we use a fixed point theorem for some function spaces. We end the paper with some new inequalities characterizing the inner product spaces.","PeriodicalId":53863,"journal":{"name":"Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica","volume":"46 1","pages":"69 - 79"},"PeriodicalIF":0.9,"publicationDate":"2015-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88488064","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}
引用次数: 18
The multi-morphisms and their properties and applications 多态及其性质和应用
IF 0.9
Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica Pub Date : 2015-12-01 DOI: 10.1515/AUPCSM-2015-0001
M. Ślosarski
{"title":"The multi-morphisms and their properties and applications","authors":"M. Ślosarski","doi":"10.1515/AUPCSM-2015-0001","DOIUrl":"https://doi.org/10.1515/AUPCSM-2015-0001","url":null,"abstract":"Abstract In this paper a new class of multi-valued mappings (multi-morphisms) is defined as a version of a strongly admissible mapping, and its properties and applications are presented.","PeriodicalId":53863,"journal":{"name":"Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica","volume":"44 1","pages":"5 - 25"},"PeriodicalIF":0.9,"publicationDate":"2015-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87449059","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}
引用次数: 12
Stability of generalized quadratic functional equation on a set of measure zero 测度为0的广义二次泛函方程的稳定性
IF 0.9
Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica Pub Date : 2015-12-01 DOI: 10.1515/AUPCSM-2015-0011
Y. Aribou, H. Dimou, A. Chahbi, S. Kabbaj
{"title":"Stability of generalized quadratic functional equation on a set of measure zero","authors":"Y. Aribou, H. Dimou, A. Chahbi, S. Kabbaj","doi":"10.1515/AUPCSM-2015-0011","DOIUrl":"https://doi.org/10.1515/AUPCSM-2015-0011","url":null,"abstract":"Abstract In this paper we prove the Hyers-Ulam stability of the following K-quadratic functional equation where E is a real (or complex) vector space. This result was used to demonstrate the Hyers-Ulam stability on a set of Lebesgue measure zero for the same functional equation.","PeriodicalId":53863,"journal":{"name":"Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica","volume":"11 1","pages":"149 - 162"},"PeriodicalIF":0.9,"publicationDate":"2015-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79736526","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}
引用次数: 2
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