{"title":"Periodic Solutions for a Modified Disease Mathematical Model","authors":"Chunhua Feng","doi":"10.56557/ajomcor/2024/v31i38790","DOIUrl":"https://doi.org/10.56557/ajomcor/2024/v31i38790","url":null,"abstract":"The present paper investigates the existence of periodic oscillations for a delayed Parkinson's disease mathematical model. We extend the result in the literature from stability to oscillation. Two sufficient conditions to guarantee the oscillation of the solutions are provided. Some parameter that affects the oscillation is sensitive from our simulation.","PeriodicalId":200824,"journal":{"name":"Asian Journal of Mathematics and Computer Research","volume":"55 5","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141799574","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}
I. C. Anabike, Jachike C. Okoli, Prince O. Chukwuma, Chinyere P. Igbokwe, Divine-Favour N. Ekemezie, Precious O. Ibeakuzie
{"title":"A New Weibull-Exponential Distribution with Properties and Applications","authors":"I. C. Anabike, Jachike C. Okoli, Prince O. Chukwuma, Chinyere P. Igbokwe, Divine-Favour N. Ekemezie, Precious O. Ibeakuzie","doi":"10.56557/ajomcor/2024/v31i38787","DOIUrl":"https://doi.org/10.56557/ajomcor/2024/v31i38787","url":null,"abstract":"In this article, we introduced a new distribution referred to as a New Weibull Exponential Distribution (NWED) by extending the exponential distribution using the new Weibull-X family of distributions. The new distribution extended the exponential distribution by introducing additional shape parameter, making the extended distribution more exible and with better goodness of fit. The properties of the model was studied namely the moment with some of its measures, the quantile function and the order statistics. The estimation of the parameters was done using the maximum likelihood method. The model was applied to two real-life datasets and it was found that the new model performed better than the classical Weibull and gamma distributions. For the airplane windshield failure times data, the p-values are such that of NWED > Weibull > Gamma. The same is applicable to the data on the failure times of 50 product reliability during the design stage.","PeriodicalId":200824,"journal":{"name":"Asian Journal of Mathematics and Computer Research","volume":"44 9","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141805496","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}
{"title":"The Existence of Solutions to Elliptic Equations with Multiple Critical Nonlinearities and Rellich Potentials","authors":"W. Zhou","doi":"10.56557/ajomcor/2024/v31i38782","DOIUrl":"https://doi.org/10.56557/ajomcor/2024/v31i38782","url":null,"abstract":"In this paper, we investigate the Biharmonic problem that involves numerous critical non-linearities and Rellich potentials.\u0000 (Delta^2 u-mu_1 frac{u}{|x|^4}-mu_2 frac{u}{|x-a|^4}=|u|^{2^*-2} u+frac{|u|^{2^*(s)-2} u}{|x-a|^s} quad text { in } Omega backslash{0, a},)\u0000where (Omega) is a smooth open bounded domain in (mathbb{R}^N(N geq 5)), (2^*(s))=(frac{2(N-s)}{N-4}), 0","PeriodicalId":200824,"journal":{"name":"Asian Journal of Mathematics and Computer Research","volume":"101 17","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141820714","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}
{"title":"Some Non-Linear Periodic Systems of Difference Equations","authors":"K. Uslu, Halil Şeran","doi":"10.56557/ajomcor/2024/v31i38777","DOIUrl":"https://doi.org/10.56557/ajomcor/2024/v31i38777","url":null,"abstract":"In this study, we considered two different difference equation systems. We showed that one of these systems has 6 periods and the other has 8 periods. Then, we obtained the equilibrium points of these systems and examined some behaviors of the system depending on the equilibrium points.","PeriodicalId":200824,"journal":{"name":"Asian Journal of Mathematics and Computer Research","volume":" 10","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141824193","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}
Godavari Jojar, U. Dolhare, Sachin Basude, Nitin Darkunde
{"title":"Some Unique Fixed Point Theorems on Complete Metric Space with Upper Semi Continuous Mapping","authors":"Godavari Jojar, U. Dolhare, Sachin Basude, Nitin Darkunde","doi":"10.56557/ajomcor/2024/v31i38781","DOIUrl":"https://doi.org/10.56557/ajomcor/2024/v31i38781","url":null,"abstract":"In the present article, we have proved two common fixed point theorems (FPT) for complete metric space (CMS) with the help of upper semi-continuous function along with the existence and uniqueness of fixed point. These results are the generalizations of the well-known theorems Kannan fixed point theorem (KFPT) and Chatterjea fixed point theorem (CFPT) in the existed literature. The KFPT and CFPT are the generalizations of Banach fixed point theorem (BFPT).","PeriodicalId":200824,"journal":{"name":"Asian Journal of Mathematics and Computer Research","volume":" 38","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141824907","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}
{"title":"Analytic Representation of the Sequence of Functions on (L^1mathbb{R}) Space","authors":"E. Iseni, S. Rexhepi, Bilall I. Shaini, I. Demiri","doi":"10.56557/ajomcor/2024/v31i38779","DOIUrl":"https://doi.org/10.56557/ajomcor/2024/v31i38779","url":null,"abstract":"In this paper studies the convergence of the functional sequence, of functions belonging to (L^1mathbb{R}) space and their analytic representations. In the first theorem using Parseval’s theorem and a result that describes the inverse Fourier transform between the Heaviside function, we prove the analytic representation of the functional sequence, of the functions belonging to the (L^1mathbb{R}) space, and uniform convergence of the sequence of their analytic representation. Using Fourier transform and the Cauchy representation we show that the sequence of the analytic representation, converges uniformly to the functions belonging to the same space on the compact subset. In the last part, we applied Fubini’s theorem to the functional sequence (theta_n(t)) , and if we have a sequence of functions on (L^1mathbb{R}) and another function from the same space, then the sequence of convolutions converges also on (L^1mathbb{R}) space.","PeriodicalId":200824,"journal":{"name":"Asian Journal of Mathematics and Computer Research","volume":" 8","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141827297","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}
{"title":"Anomaly Detection for Industrial Time Series Data Based on Correlation Analysis and CNN-BiLSTM with Self-attention","authors":"Xinyi Yu, Bingbing Zeng, Lidong Wang","doi":"10.56557/ajomcor/2024/v31i28697","DOIUrl":"https://doi.org/10.56557/ajomcor/2024/v31i28697","url":null,"abstract":"This paper aims to propose an anomaly detection model for industrial time series data based on correlation analysis and CNN-BiLSTM with self-attention to solve the problem of abnormal data detection in the field of industrial data analysis. Industrial data anomaly detection is an important task in the industrial field, which can help people to timely understand the production operation status and real-time record and perception of the operating environment. This paper introduces two key technologies: correlation analysis and CNN-BiLSTM with self-attention, and how to combine them to build an effective anomaly detection model for industrial time series data. Through experimental evaluation, this paper proves the effectiveness and superiority of the proposed model in industrial data anomaly detection tasks.","PeriodicalId":200824,"journal":{"name":"Asian Journal of Mathematics and Computer Research","volume":"6 7","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140979669","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}
{"title":"Bilinear Pairings: A Secured Outsourcing with a Single Server","authors":"Qing Ying","doi":"10.56557/ajomcor/2024/v31i28681","DOIUrl":"https://doi.org/10.56557/ajomcor/2024/v31i28681","url":null,"abstract":"The computation of bilinear pairs is the most computationally expensive computation for bilinear pair-based cryptographic protocols in practice. Currently, most bilinear pairing outsourcing algorithms have little checkability, or the outsourcer requires two servers for expensive calculations. In this paper, we propose an efficient and secure single-server bilinear pairing outsourcing algorithm, which allows the outsourcing party to detect dishonest errors in cloud servers with probability 1, and the outsourcing party does not need to perform some complex computations.","PeriodicalId":200824,"journal":{"name":"Asian Journal of Mathematics and Computer Research","volume":"5 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141014035","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}
{"title":"Local Cohomology and Maximal Generalized Modules","authors":"C. H. Tognon","doi":"10.56557/ajomcor/2024/v31i28591","DOIUrl":"https://doi.org/10.56557/ajomcor/2024/v31i28591","url":null,"abstract":"Aims: Study of commutative algebra.Study Design: Cross-sectional study.Place and Duration of Study: University of São Paulo, August 2021 to October 2022.Methodology: Study through books and articles.Results: The article study the relation between local cohomology defined by an ideal and cohomological dimension.Conclusion: With the results of the paper, we show the importance of the local cohomology theory as a study tool within of the commutative algebra theory.","PeriodicalId":200824,"journal":{"name":"Asian Journal of Mathematics and Computer Research","volume":"14 8","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-03-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140241993","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}
{"title":"Characterization of Almost (eta) -Ricci Solitons With Respect to Schouten-van Kampen Connection on Sasakian Manifolds","authors":"Tuğba Mert, M. Atc̣eken, Pakize Uygun","doi":"10.56557/ajomcor/2024/v31i18585","DOIUrl":"https://doi.org/10.56557/ajomcor/2024/v31i18585","url":null,"abstract":"In this paper, we investigate Sasakian manifolds that admit almost (eta) -Ricci solitons with respect to the Schouten-van Kampen connection using certain curvature tensors. Concepts of Ricci pseudosymmetry for Sasakian manifolds admitting (eta)-Ricci solitons are introduced based on the selection of specific curvature tensors such as Riemann, concircular, projective, pseudo-projective, M-projective, and W2 tensors. Subsequently, necessary conditions are established for a Sasakian manifold admitting (eta)-Ricci soliton with respect to the Schouten-van Kampen connection to be Ricci semisymmetric, based on the choice of curvature tensors. Characterizations are then derived, and classifications are made under certain conditions.","PeriodicalId":200824,"journal":{"name":"Asian Journal of Mathematics and Computer Research","volume":"251 6","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-03-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140255585","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}