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LARGE DEVIATIONS FOR STOCHASTIC VOLTERRA EQUATIONS WITH REFLECTION IN HÖLDERIAN NORM 具有hÖlderian范数反射的随机volterra方程的大偏差
Advances in Mathematics: Scientific Journal Pub Date : 2023-08-24 DOI: 10.37418/amsj.12.8.4
R. A. Randrianomenjanahary, T. Rabeherimanana
{"title":"LARGE DEVIATIONS FOR STOCHASTIC VOLTERRA EQUATIONS WITH REFLECTION IN HÖLDERIAN NORM","authors":"R. A. Randrianomenjanahary, T. Rabeherimanana","doi":"10.37418/amsj.12.8.4","DOIUrl":"https://doi.org/10.37418/amsj.12.8.4","url":null,"abstract":"In this paper, we study the large deviations principle textbf{(LDP)} of the Volterra process with reflection in H\"olderian norm by using the Azencott method. As an application, we obtain the large deviations principle textbf{(LDP)} of a perturbed reflected diffusion process driven by the Fractional Brownian Motion with Hurst parameter $H in [frac{1}{2},1)$.","PeriodicalId":231117,"journal":{"name":"Advances in Mathematics: Scientific Journal","volume":"45 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-08-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121703924","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
EXISTENCE AND UNIQUENESS OF THE CAGINALP PHASE-FIELD SYSTEM BASED ON THE CATTANEO LAW 基于cataneo定律的caginalp相场系统的存在唯一性
Advances in Mathematics: Scientific Journal Pub Date : 2023-08-24 DOI: 10.37418/amsj.12.8.2
Cyr Seraphin, Ngamouyih Moussata, Narcisse Batangouna, Urbain Cyriaque Mavoungou
{"title":"EXISTENCE AND UNIQUENESS OF THE CAGINALP PHASE-FIELD SYSTEM BASED ON THE CATTANEO LAW","authors":"Cyr Seraphin, Ngamouyih Moussata, Narcisse Batangouna, Urbain Cyriaque Mavoungou","doi":"10.37418/amsj.12.8.2","DOIUrl":"https://doi.org/10.37418/amsj.12.8.2","url":null,"abstract":"Our aim in this paper is to study the existence and the uniqueness of the Caginalp phase-field system based on the Cattaneo Law,with initial conditions,Dirichlet Boundary Conditions and Regular Potentiels.","PeriodicalId":231117,"journal":{"name":"Advances in Mathematics: Scientific Journal","volume":"16 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-08-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116477301","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
NUMERICAL SIMULATION OF A PHENOMENON OF SILTING UP OF RIVER BANKS 河岸淤积现象的数值模拟
Advances in Mathematics: Scientific Journal Pub Date : 2023-08-24 DOI: 10.37418/amsj.12.8.3
C. Moussata, Deryl Nathan, Bonazebi Yindoula, B. Mampassi
{"title":"NUMERICAL SIMULATION OF A PHENOMENON OF SILTING UP OF RIVER BANKS","authors":"C. Moussata, Deryl Nathan, Bonazebi Yindoula, B. Mampassi","doi":"10.37418/amsj.12.8.3","DOIUrl":"https://doi.org/10.37418/amsj.12.8.3","url":null,"abstract":"In this paper we have placed a particular emphasis on the construction of the algorithmic scheme leading to the codes to identify the parameters of the silting of the banks of the rivers. To overcome the lack of real field data, we generated experimental data by solving a carefully chosen partial differential equation . All the codes obtained were executed on the Matlab 7.14(R2012 a) interface and the results of the simulation were satisfactory.","PeriodicalId":231117,"journal":{"name":"Advances in Mathematics: Scientific Journal","volume":"57 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-08-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122809806","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 NEW HYBRIDIZATION FOR IMPROVING THE CONVERGENCE OF THE MOMA-PLUS METHOD 一种改进moma-plus方法收敛性的杂交方法
Advances in Mathematics: Scientific Journal Pub Date : 2023-08-12 DOI: 10.37418/amsj.12.8.1
A. Compaoré, Alexandre Som, K. Somé
{"title":"A NEW HYBRIDIZATION FOR IMPROVING THE CONVERGENCE OF THE MOMA-PLUS METHOD","authors":"A. Compaoré, Alexandre Som, K. Somé","doi":"10.37418/amsj.12.8.1","DOIUrl":"https://doi.org/10.37418/amsj.12.8.1","url":null,"abstract":"We propose in this article a hybridization of the algorithm of the MOMA-Plus method and that of the Differential Evolution method. This hybridization consists of defining a simplex around an efficient solution generated by MOMA-plus and applying the Differential Evolution algorithm to find a better solution than that obtained by MOMA-plus. The results interpreted through a performance study of the solutions obtained on multiobjective optimization test problems show that this hybridization improves the convergence of the basic MOMA-plus algorithm. Moreover, a better complexity than that of basic MOMA-plus is obtained.","PeriodicalId":231117,"journal":{"name":"Advances in Mathematics: Scientific Journal","volume":"10 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-08-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114777253","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
PROBLEM FOR A HYPERBOLIC FRACTIONAL EQUATION WITH THE NON-DEGENERATE INTEGRAL BOUNDARY CONDITIONS 具有非退化积分边界条件的双曲分数阶方程问题
Advances in Mathematics: Scientific Journal Pub Date : 2023-07-22 DOI: 10.37418/amsj.12.7.4
A. Koulinté, A. Edoh, S. Bangan, D. M. Zakari
{"title":"PROBLEM FOR A HYPERBOLIC FRACTIONAL EQUATION WITH THE NON-DEGENERATE INTEGRAL BOUNDARY CONDITIONS","authors":"A. Koulinté, A. Edoh, S. Bangan, D. M. Zakari","doi":"10.37418/amsj.12.7.4","DOIUrl":"https://doi.org/10.37418/amsj.12.7.4","url":null,"abstract":"In this work, we consider a hyperbolic fractional problem with non-degenerate integral boundary conditions. By using the method of Faedo-Galerkin, we demonstrate the existence of a solution of the considered problem by passing to the limit. A new result is given by proving the uniqueness of the solution based on assumptions for a similar problem.","PeriodicalId":231117,"journal":{"name":"Advances in Mathematics: Scientific Journal","volume":"7 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-07-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122201262","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
MATHEMATICAL MODELING OF A SALINITY GRADIENT SOLAR POND CONTAINING CARBON NANOTUBES WITH DIFFERENT LEVELS OF TURBIDITY 含不同浊度碳纳米管的盐度梯度太阳能池的数学建模
Advances in Mathematics: Scientific Journal Pub Date : 2023-07-07 DOI: 10.37418/amsj.12.7.2
A. Ammar, B. Oussama, H. Sissaoui
{"title":"MATHEMATICAL MODELING OF A SALINITY GRADIENT SOLAR POND CONTAINING CARBON NANOTUBES WITH DIFFERENT LEVELS OF TURBIDITY","authors":"A. Ammar, B. Oussama, H. Sissaoui","doi":"10.37418/amsj.12.7.2","DOIUrl":"https://doi.org/10.37418/amsj.12.7.2","url":null,"abstract":"The mathematical model adopted in this work is based on the discretization of the conservation equations of mass, momentum and energy in 3 dimensions using the finite element method with appropriate initial and boundary conditions. In this numerical simulation work, we are interested in the testing of the influence of carbon nanotubes and in studying the effect of turbidity on solar ponds. The results show that an injection of the carbon nanotubes in a clear salt water solution in the storage zone clearly yields an improvement in thermal performance and generates a higher natural convection","PeriodicalId":231117,"journal":{"name":"Advances in Mathematics: Scientific Journal","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-07-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129710001","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 SINGULAR PROPERTY OF GALAMBOS COPULA 大鼠的一个奇异性质
Advances in Mathematics: Scientific Journal Pub Date : 2023-07-07 DOI: 10.37418/amsj.12.7.3
R. Loko, C. Vouvoungui, R. Koukouatikissa, R. Bidounga, D. Barro
{"title":"A SINGULAR PROPERTY OF GALAMBOS COPULA","authors":"R. Loko, C. Vouvoungui, R. Koukouatikissa, R. Bidounga, D. Barro","doi":"10.37418/amsj.12.7.3","DOIUrl":"https://doi.org/10.37418/amsj.12.7.3","url":null,"abstract":"Whatever the sample size, the Galambos copula does not change. It remains constant. This is quite singular. To demonstrate this, we'll show that the generalized Galambos copula is completely independent of sample size. Unlike the copula of Gumbel, Ali-Michael and Haq, and certainly others, whose generalization depends on sample size, the Galambos copula is special. Unlike Gumbel's, Galambos's generalized copula is not size-dependent.","PeriodicalId":231117,"journal":{"name":"Advances in Mathematics: Scientific Journal","volume":"55 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-07-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126244458","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
PROPERTIES OF SCHWARZ MATRICES IN DISCRETE-TIME LINEAR SYSTEMS 离散线性系统中schwarz矩阵的性质
Advances in Mathematics: Scientific Journal Pub Date : 2023-07-01 DOI: 10.37418/amsj.12.7.1
C.D. Lee, S. Koyuncu
{"title":"PROPERTIES OF SCHWARZ MATRICES IN DISCRETE-TIME LINEAR SYSTEMS","authors":"C.D. Lee, S. Koyuncu","doi":"10.37418/amsj.12.7.1","DOIUrl":"https://doi.org/10.37418/amsj.12.7.1","url":null,"abstract":"In this paper, we investigate the properties of the Schwarz matrix, a specific type of matrix that appears in the stability analysis of discrete-time linear time-invariant systems. We derive a formula for the determinant of the Schwarz matrix and a formula for its permanent. We also provide conditions on the entries of the Schwarz matrix that ensure the system described by the state update equation $x_{k+1} = Bx_k$ is stable, as well as conditions that guarantee the eigenvalues of the Schwarz matrix are real. These findings provide insights into the stability properties of systems characterized by Schwarz matrices and offer new tools for the analysis of interconnected subsystems in a cascaded structure.","PeriodicalId":231117,"journal":{"name":"Advances in Mathematics: Scientific Journal","volume":"8 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124005982","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 NUMBER OF VERTICES OF INTEGER CONVEX POLYTOPES 关于整数凸多边形的顶点数
Advances in Mathematics: Scientific Journal Pub Date : 2023-06-23 DOI: 10.37418/amsj.12.6.4
H. Ravelonirina, J. J. Rakoto
{"title":"ON THE NUMBER OF VERTICES OF INTEGER CONVEX POLYTOPES","authors":"H. Ravelonirina, J. J. Rakoto","doi":"10.37418/amsj.12.6.4","DOIUrl":"https://doi.org/10.37418/amsj.12.6.4","url":null,"abstract":"The aim of this paper is to propose a polynomial that we call ''characteristic polynomial'' of an integer convex polytope of dimension $d$ $(dgeq1)$. This polynomial makes it possible to count the number of vertices of an integer convex polytope without using the Schl\"afli symbol. We give after that the algebraic characteristics of this polynomial.","PeriodicalId":231117,"journal":{"name":"Advances in Mathematics: Scientific Journal","volume":"122 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122750459","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
NEW BRANCH AND BOUND METHOD OVER A BOXED SET OF $mathbb{R}^{n}$ 在$mathbb{R}^{n}$的盒子集合上新的分支和边界方法
Advances in Mathematics: Scientific Journal Pub Date : 2023-06-12 DOI: 10.37418/amsj.12.6.3
B. Gasmi, R. Benacer
{"title":"NEW BRANCH AND BOUND METHOD OVER A BOXED SET OF $mathbb{R}^{n}$","authors":"B. Gasmi, R. Benacer","doi":"10.37418/amsj.12.6.3","DOIUrl":"https://doi.org/10.37418/amsj.12.6.3","url":null,"abstract":"We present in this paper the new Branch and Bound method with new quadratic approach over a boxed set (a rectangle) of $mathbb{R}^{n}$. We construct an approximate convex quadratics functions of the objective function to fined a lower bound of the global optimal value of the original non convex quadratic problem (NQP) over each subset of this boxed set. We applied a partition and technical reducing on the domain of (NQP) to accelerate the convergence of the proposed algorithm. Finally,we study the convergence of the proposed algorithm and we give a simple comparison between this method and another methods wish have the same principle.","PeriodicalId":231117,"journal":{"name":"Advances in Mathematics: Scientific Journal","volume":"107 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116005395","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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