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Results of singular Direchelet problem involving the $p(x)$-laplacian with critical growth 具有临界增长的$p（x）$-laplacian奇异Direchelet问题的结果
IF 0.5
Boletim Sociedade Paranaense de Matematica Pub Date : 2022-12-23 DOI: 10.5269/bspm.52984
H. Belaouidel, M. Haddaoui, N. Tsouli
{"title":"Results of singular Direchelet problem involving the $p(x)$-laplacian with critical growth","authors":"H. Belaouidel, M. Haddaoui, N. Tsouli","doi":"10.5269/bspm.52984","DOIUrl":"https://doi.org/10.5269/bspm.52984","url":null,"abstract":"In this paper, we study the existence and multiplicity of solutions for Dirichlet singular elliptic problems involving the $p(x)$-Laplace equation with critical growth. The technical approach is mainly based on the variational method combined with the genus theory.","PeriodicalId":44941,"journal":{"name":"Boletim Sociedade Paranaense de Matematica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2022-12-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46837321","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
Implementation and numerical aspects of the matlab solver designed for the solution of low protein model 为求解低蛋白模型而设计的matlab求解器的实现和数值方面
IF 0.5
Boletim Sociedade Paranaense de Matematica Pub Date : 2022-12-23 DOI: 10.5269/bspm.51826
Meraihi Mouna
{"title":"Implementation and numerical aspects of the matlab solver designed for the solution of low protein model","authors":"Meraihi Mouna","doi":"10.5269/bspm.51826","DOIUrl":"https://doi.org/10.5269/bspm.51826","url":null,"abstract":"In this paper, we discuss the implementation and numerical aspects of the Matlab solver designed for the solution of Low Protein Model (LPD). In this paper, we study the existence and uniqueness of the weak solution and we try to write some codes in Matlab which are based on Euler’s Method and several technics of programmation.  subject to an initial condition  \u0000dM \u0000dt   = µL − δM,                                                            (2) \u0000L(0) = 0 and  M (0) = 0.                                                     (3) \u0000The code is based on Euler’s Method and several technics of programmation.","PeriodicalId":44941,"journal":{"name":"Boletim Sociedade Paranaense de Matematica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2022-12-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45227253","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
Graph Modelling of Social Internet of Things (S-IoT) centered home automation using medium domination approach 基于媒介支配方法的以社交物联网(S-IoT)为中心的家庭自动化图形建模
IF 0.5
Boletim Sociedade Paranaense de Matematica Pub Date : 2022-12-23 DOI: 10.5269/bspm.51446
Aaysha Khan, Jana Shafi
{"title":"Graph Modelling of Social Internet of Things (S-IoT) centered home automation using medium domination approach","authors":"Aaysha Khan, Jana Shafi","doi":"10.5269/bspm.51446","DOIUrl":"https://doi.org/10.5269/bspm.51446","url":null,"abstract":"Preceding years predict IoT to be trend in technology domain as it possesses superior intelligence and methods to access data as well able to construct networks anywhere which we are witnessing today. Today IoT devices are well implemented and are a topic and product of interest for many. In midst of this S-IoT emerged which is understood as the added ingredient in IoT networks enables improvement in accessing data, its procession, real-time decisions, and many more new functions and all of this with an ideal price [1]. S-IoT led to the interesting development of enabling the Internet of things to be socially connected in a network with each other which permits them to socially interact with each other and have their respective profiles for their identification all similar to humans. This magical innovation-led internet networks to be more complicated. In this paper, we are modeling objects of S-Iot centered homes as network graphs with a medium domination number approach. The key notion here is to inspect the total number of objects connected that dominate every pair of objects in a network graph and the average value of this is defined as “the medium domination number”. We evaluated new results and relations along with further vulnerability methods and developed an algorithm of complexity O(n 2).","PeriodicalId":44941,"journal":{"name":"Boletim Sociedade Paranaense de Matematica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2022-12-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43569103","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
Asymptotically lacunary µ-statistical equivalence of generalized difference sequences in probabilistic normed spaces 概率赋范空间中广义差分序列的渐近无域微统计等价
IF 0.5
Boletim Sociedade Paranaense de Matematica Pub Date : 2022-12-23 DOI: 10.5269/bspm.51915
R. Haloi, M. Sen, B. Tripathy
{"title":"Asymptotically lacunary µ-statistical equivalence of generalized difference sequences in probabilistic normed spaces","authors":"R. Haloi, M. Sen, B. Tripathy","doi":"10.5269/bspm.51915","DOIUrl":"https://doi.org/10.5269/bspm.51915","url":null,"abstract":"The current article introduces the notion of asymptotically lacunary $(Delta^n,mu)$-statistical equivalent sequence in the settings of a probabilistic norm $N$. Furthermore, the article presents the concepts of asymptotically $(Delta^n,mu)$-strongly Ces'{a}ro equivalent sequences and asymptotically $(Delta^n,mu)$-strongly Ces'{a}ro Orlicz equivalent sequences in the theory of probabilistic normed spaces and also investigates their various properties including some inclusion relations as well as some equivalent conditions in this new settings.","PeriodicalId":44941,"journal":{"name":"Boletim Sociedade Paranaense de Matematica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2022-12-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45705906","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
Tension on an edge in a graph 图中边上的张力
IF 0.5
Boletim Sociedade Paranaense de Matematica Pub Date : 2022-12-23 DOI: 10.5269/bspm.51295
K. Bhargava, N. N. Dattatreya, R. Rajendra
{"title":"Tension on an edge in a graph","authors":"K. Bhargava, N. N. Dattatreya, R. Rajendra","doi":"10.5269/bspm.51295","DOIUrl":"https://doi.org/10.5269/bspm.51295","url":null,"abstract":"In this paper we introduce the concept of tension on an edge in a graph. The tension on an edge in a graph is the number of geodesics passing through it. We investigate some results and characterizations involving tensions on edges in graphs.","PeriodicalId":44941,"journal":{"name":"Boletim Sociedade Paranaense de Matematica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2022-12-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42187591","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
Ulam's stability of conformable neutral fractional differential equations 适形中立分数阶微分方程的Ulam稳定性
IF 0.5
Boletim Sociedade Paranaense de Matematica Pub Date : 2022-12-23 DOI: 10.5269/bspm.51442
Manzoor Ahmad, A. Zada
{"title":"Ulam's stability of conformable neutral fractional differential equations","authors":"Manzoor Ahmad, A. Zada","doi":"10.5269/bspm.51442","DOIUrl":"https://doi.org/10.5269/bspm.51442","url":null,"abstract":"This article is concerned with the existence and uniqueness of solutions of a nonlinear neutral conformable fractional differential system with infinite delay, involving conformable fractional derivative. Additionally, we study the Ulam--Hyres stability, Ulam--Hyres--Mittag--Leffler stability, Ulam--Hyres--Mittag--Leffler--Rassias stability for the solutions of considered system using Picard operator. For application of the theory, we add an example at the end.","PeriodicalId":44941,"journal":{"name":"Boletim Sociedade Paranaense de Matematica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2022-12-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47378987","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
A new version of energy and elastica for curves with extended darboux frame 一个新版本的能量和弹性曲线与扩展达布框架
IF 0.5
Boletim Sociedade Paranaense de Matematica Pub Date : 2022-12-23 DOI: 10.5269/bspm.51025
V. Asil, T. Körpınar, Y. Ünlütürk
{"title":"A new version of energy and elastica for curves with extended darboux frame","authors":"V. Asil, T. Körpınar, Y. Ünlütürk","doi":"10.5269/bspm.51025","DOIUrl":"https://doi.org/10.5269/bspm.51025","url":null,"abstract":"In this work, we research geometrical interpretation involved with the energy by ED-frame field of first and second kind on orientable hypersurface in E⁴. We explore the geometric properties of some graphics by way of energy. We apply totally diverse discussion and approach to illustrate bending energy functional for ED-frame field of first and second kind. Moreover, we have an original and satisfactorily association among energy of the curve on orientable hypersurface in E⁴.","PeriodicalId":44941,"journal":{"name":"Boletim Sociedade Paranaense de Matematica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2022-12-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44368962","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 weakly nilpotent graph of a commutative semiring 关于交换半环的弱幂零图
IF 0.5
Boletim Sociedade Paranaense de Matematica Pub Date : 2022-12-23 DOI: 10.5269/bspm.51272
J. Goswami, L. Boro
{"title":"On the weakly nilpotent graph of a commutative semiring","authors":"J. Goswami, L. Boro","doi":"10.5269/bspm.51272","DOIUrl":"https://doi.org/10.5269/bspm.51272","url":null,"abstract":"Let S be a commutative semiring with unity. In this paper, we introduce the weakly nilpotent graph of a commutative semiring. The weakly nilpotent graph of S, denoted by Γw(S) is defined as an undirected simple graph whose vertices are S and two distinct vertices x and y are adjacent if and only if xy 2 N(S), where S= Sn f0g and N(S) is the set of all non-zero nilpotent elements of S. In this paper, we determine the diameter of weakly nilpotent graph of an Artinian semiring. We prove that if w(S) is a forest, then Γw(S) is a union of a star and some isolated vertices. We study the clique number, the chromatic number and the independence number of Γw(S). Among other results, we show that for an Artinian semiring S, Γw(S) is not a disjoint union of cycles or a unicyclic graph. For Artinian semirings, we determine diam(Γw(S)). Finally, we characterize all commutative semirings S for which Γw(S) is a cycle, where w(S) is the complement of the weakly nilpotent graph of S. Finally, we characterize all commutative semirings S for which Γw(S) is a cycle.","PeriodicalId":44941,"journal":{"name":"Boletim Sociedade Paranaense de Matematica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2022-12-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45702700","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
Viscosity Iterative Algorithm] {Accelerated extragradient algorithm for equilibrium and fixed point problems for countable family of certain multi-valued mappings 粘性迭代算法]{某些多值映射的可数族的平衡和不动点问题的加速超梯度算法
IF 0.5
Boletim Sociedade Paranaense de Matematica Pub Date : 2022-12-23 DOI: 10.5269/bspm.52719
H. Abass, O. Mewomo
{"title":"Viscosity Iterative Algorithm] {Accelerated extragradient algorithm for equilibrium and fixed point problems for countable family of certain multi-valued mappings","authors":"H. Abass, O. Mewomo","doi":"10.5269/bspm.52719","DOIUrl":"https://doi.org/10.5269/bspm.52719","url":null,"abstract":"In this paper, we introduce a viscosity-type extragradient algorithm for finding a common point of the solution of a pseudomonotone equilibrium problem and a fixed point problem of an infinite family of multi-valued quasi-nonexpansive mappings in real Hilbert space. Using our algorithm, we state and prove a strong convergence result of our iteration sequences. An application to variational inequality problem was considered. Lastly, we give a numerical example of our main result. The result presented in this paper extends and complements some recent results in literature.","PeriodicalId":44941,"journal":{"name":"Boletim Sociedade Paranaense de Matematica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2022-12-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45952323","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 topological approach to soft groupoids 软群胚的一种拓扑方法
IF 0.5
Boletim Sociedade Paranaense de Matematica Pub Date : 2022-12-23 DOI: 10.5269/bspm.51392
G. Oǧuz
{"title":"A topological approach to soft groupoids","authors":"G. Oǧuz","doi":"10.5269/bspm.51392","DOIUrl":"https://doi.org/10.5269/bspm.51392","url":null,"abstract":"In this manuscript, the notion of soft topological groupoid is proposed by examining in a different perspective the notion of soft groupoid, which is defined as a parameterized family of the subgroupoids of a soft groupoid. In this context, topological groupoid structures are equipped with soft set theory and the category of soft topological groupoids is formed. Subsequently, the definition of soft topological subgroupoid is presented and all new notions given are strengthened by illustrative examples.","PeriodicalId":44941,"journal":{"name":"Boletim Sociedade Paranaense de Matematica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2022-12-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44729540","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
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