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Annals of Pure and Applied Mathematics最新文献

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On the Diophantine Equation 15x – 13y = z2 关于丢番图方程15x - 13y = z2
Annals of Pure and Applied Mathematics Pub Date : 1900-01-01 DOI: 10.22457/apam.v27n1a05896
S. Thongnak, W. Chuayjan, T. Kaewong
{"title":"On the Diophantine Equation 15x – 13y = z2","authors":"S. Thongnak, W. Chuayjan, T. Kaewong","doi":"10.22457/apam.v27n1a05896","DOIUrl":"https://doi.org/10.22457/apam.v27n1a05896","url":null,"abstract":"In this article, we prove that the Diophantine equation 15x – 13y = z2 has nonnegative integer solution. The result reveals that the solution (x, y, z) = (0, 0, 0). Keywords: Diophantine equation; factoring method; modular arithmetic method","PeriodicalId":305863,"journal":{"name":"Annals of Pure and Applied Mathematics","volume":"80 4","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114135304","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
Hopf Bifurcation of a Rosenzweig-Macarthur Hyperbolic Tangent-Type Predator-Prey Model Rosenzweig-Macarthur双曲切线型捕食者-猎物模型的Hopf分岔
Annals of Pure and Applied Mathematics Pub Date : 1900-01-01 DOI: 10.22457/apam.v23n1a01808
Jing Zhang
{"title":"Hopf Bifurcation of a Rosenzweig-Macarthur Hyperbolic Tangent-Type Predator-Prey Model","authors":"Jing Zhang","doi":"10.22457/apam.v23n1a01808","DOIUrl":"https://doi.org/10.22457/apam.v23n1a01808","url":null,"abstract":"In this paper, the Rosenzweig-MacArthur predator-prey model with the hyperbolic tangent functional response is investigated. We choose capturing efficiency of predator as the bifurcation parameter and mainly discuss the existence, direction and stability of Hopf bifurcation by Poincaré-Andronov-Hopf bifurcation theorem.","PeriodicalId":305863,"journal":{"name":"Annals of Pure and Applied Mathematics","volume":"20 1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116748108","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
Relatively Prime Split Geodetic Number of a Graph 图的相对素数分裂测地线数
Annals of Pure and Applied Mathematics Pub Date : 1900-01-01 DOI: 10.22457/apam.v25n2a06868
C. Jayasekaran, A. Sheeba
{"title":"Relatively Prime Split Geodetic Number of a Graph","authors":"C. Jayasekaran, A. Sheeba","doi":"10.22457/apam.v25n2a06868","DOIUrl":"https://doi.org/10.22457/apam.v25n2a06868","url":null,"abstract":"","PeriodicalId":305863,"journal":{"name":"Annals of Pure and Applied Mathematics","volume":"112-113 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"117130472","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
Analytical Approach to Fractional Fisher Equations by Laplace-Adomian Decomposition Method 分数阶Fisher方程的Laplace-Adomian分解分析方法
Annals of Pure and Applied Mathematics Pub Date : 1900-01-01 DOI: 10.22457/apam.v26n2a02885
R. K. Bairwa, Priyanka, Soniya Bairwa, Sanjeev Tyagi
{"title":"Analytical Approach to Fractional Fisher Equations by Laplace-Adomian Decomposition Method","authors":"R. K. Bairwa, Priyanka, Soniya Bairwa, Sanjeev Tyagi","doi":"10.22457/apam.v26n2a02885","DOIUrl":"https://doi.org/10.22457/apam.v26n2a02885","url":null,"abstract":"This article implements the Laplace-Adomian decomposition method to obtain approximate analytical solutions in series form for non-linear time-fractional Fisher's equations with initial conditions. The fractional derivatives are given in the sense of Caputo. In addition, the results of this investigation are represented graphically, and they are simple yet highly accurate and compare favourably with the solutions reported in the earliest literature.","PeriodicalId":305863,"journal":{"name":"Annals of Pure and Applied Mathematics","volume":"88 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124172759","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
Historical Development of some Fixed Point Results in Metric Space 度量空间中一些不动点结果的历史发展
Annals of Pure and Applied Mathematics Pub Date : 1900-01-01 DOI: 10.22457/apam.v26n2a04884
Pavan Kumar Jha
{"title":"Historical Development of some Fixed Point Results in Metric Space","authors":"Pavan Kumar Jha","doi":"10.22457/apam.v26n2a04884","DOIUrl":"https://doi.org/10.22457/apam.v26n2a04884","url":null,"abstract":"In this paper, the historical account of fixed point results for single mapping in metric space has been provided. Though, there is a vast account of fixed point results for two or more mappings in the literature. It is mainly concentrated on single mapping due to our philosophical touch on Sthira Vindu (fixed point) and Kutastha Vindu in Vedanta philosophy.","PeriodicalId":305863,"journal":{"name":"Annals of Pure and Applied Mathematics","volume":"154 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115992955","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
Sufficient Conditions for Hamiltonian Fuzzy Graphs 哈密顿模糊图的充分条件
Annals of Pure and Applied Mathematics Pub Date : 1900-01-01 DOI: 10.22457/apam.v26n1a03877
Rao Li
{"title":"Sufficient Conditions for Hamiltonian Fuzzy Graphs","authors":"Rao Li","doi":"10.22457/apam.v26n1a03877","DOIUrl":"https://doi.org/10.22457/apam.v26n1a03877","url":null,"abstract":"In this note, we present sufficient conditions for Hamiltonian cycles in fuzzy graphs. In particular, we extend the well-known Ore's theorem and Dirac's theorem in graph theory to fuzzy graph theory.","PeriodicalId":305863,"journal":{"name":"Annals of Pure and Applied Mathematics","volume":"43 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122354077","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
Diametral Covering Number of a Graph 图的直径覆盖数
Annals of Pure and Applied Mathematics Pub Date : 1900-01-01 DOI: 10.22457/apam.v24n1a01828
M. Huilgol, Kiran S
{"title":"Diametral Covering Number of a Graph","authors":"M. Huilgol, Kiran S","doi":"10.22457/apam.v24n1a01828","DOIUrl":"https://doi.org/10.22457/apam.v24n1a01828","url":null,"abstract":"In this paper, we introduce the diametral covering number of a graph. A subset S of V(G) is said to be a diametral cover for G if every diametral path of G contains at least one vertex of S. The minimum cardinality of S taken over all diametral covers is called the diametral covering number of G and is denoted by σd(G). Here we have given the diametral covering number of several classes of graphs and have given bounds for the same in terms of basic graph parameters. Also, a characterization of graphs having particular diametral covering number is given.","PeriodicalId":305863,"journal":{"name":"Annals of Pure and Applied Mathematics","volume":"8 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126419672","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 Multiplicative Inverse of Nirmala Indices 关于Nirmala指数的乘法逆
Annals of Pure and Applied Mathematics Pub Date : 1900-01-01 DOI: 10.22457/apam.v23n2a02821
V. Kulli
{"title":"On Multiplicative Inverse of Nirmala Indices","authors":"V. Kulli","doi":"10.22457/apam.v23n2a02821","DOIUrl":"https://doi.org/10.22457/apam.v23n2a02821","url":null,"abstract":"Recently, a novel degree based topological index was introduced, so called the Nirmala index. In this study, we introduce the multiplicative Nirmala index, the multiplicative first and second inverse Nirmala indices of a molecular graph. Furthermore we compute these Nirmala indices for certain nanotubes.","PeriodicalId":305863,"journal":{"name":"Annals of Pure and Applied Mathematics","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128751428","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
Solutions of the Diophantine Equations p x + (p + 1)y + (p + 2)z = M 2 for Primes p ≥ 2 when 1 ≤ x, y, z ≤ 2 当1≤x, y, z≤2时，素数p≥2的丢芬图方程p x + (p + 1)y + (p + 2)z = m2的解
Annals of Pure and Applied Mathematics Pub Date : 1900-01-01 DOI: 10.22457/apam.v22n1a06686
N. Burshtein
{"title":"Solutions of the Diophantine Equations p x + (p + 1)y + (p + 2)z = M 2 for Primes p ≥ 2 when 1 ≤ x, y, z ≤ 2","authors":"N. Burshtein","doi":"10.22457/apam.v22n1a06686","DOIUrl":"https://doi.org/10.22457/apam.v22n1a06686","url":null,"abstract":"In this article, we investigate the solutions of the Diophantine equations p x + (p + 1)y + (p + 2)z = M 2 for primes p ≥ 2 when 1 ≤ x, y, z ≤ 2. We establish : (i) When p = 2 and x = y = z = 1, the equation has a unique solution. (ii) When p = 4N + 1 and 1 ≤ x, y, z ≤ 2, the equations have no solutions. (iii) When p = 4N + 3 and x = y = z = 1, the equation has infinitely many solutions. (iv) When 3 ≤ p ≤ 199 and x = 1, y = z = 2, the equation has exactly one solution. (v) In all other cases 1 ≤ x, y, z ≤ 2 which are not mentioned above, the equations have no solutions.","PeriodicalId":305863,"journal":{"name":"Annals of Pure and Applied Mathematics","volume":"6 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127185943","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
Numerical Solution of Singular Boundary Value Problems by Hermite Wavelet Based Galerkin Method 基于Hermite小波的Galerkin方法的奇异边值问题数值解
Annals of Pure and Applied Mathematics Pub Date : 1900-01-01 DOI: 10.22457/apam.v23n2a07815
LINGARAJ M. ANGADI
{"title":"Numerical Solution of Singular Boundary Value Problems by Hermite Wavelet Based Galerkin Method","authors":"LINGARAJ M. ANGADI","doi":"10.22457/apam.v23n2a07815","DOIUrl":"https://doi.org/10.22457/apam.v23n2a07815","url":null,"abstract":"Singular boundary value problems (SBVPs) occur frequently in various branches of applied mathematics, mechanics, and atomic theory and chemical sciences. In this paper, we proposed the numerical solution of SBVPs by Hermite wavelet based Galerkin method (HWMG). Here, Hermite wavelets are used as weight functions and these are assumed bases elements which allow us to obtain the numerical solutions of the singular boundary value problems. The obtained numerical results using this method are compared with the exact solution and existing methods (FDM, LWGM). Some of the problems are taken to demonstrate the applicability and validity of the proposed method.","PeriodicalId":305863,"journal":{"name":"Annals of Pure and Applied Mathematics","volume":"4 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116898038","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
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