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Floquet Exponent of Solution to Homogeneous Growth-Fragmentation Equation 均质生长-破碎方程解的 Floquet 指数
Open Journal of Mathematical Analysis Pub Date : 2023-12-29 DOI: 10.30538/psrp-oma2023.0126
Meas Len
{"title":"Floquet Exponent of Solution to Homogeneous Growth-Fragmentation Equation","authors":"Meas Len","doi":"10.30538/psrp-oma2023.0126","DOIUrl":"https://doi.org/10.30538/psrp-oma2023.0126","url":null,"abstract":"In this work, we establish the existence and uniqueness of solution of Floquet eigenvalue and its adjoint to homogeneous growth-fragmentation equation with positive and periodic coefficients. We study the Floquet exponent, which measures the growth rate of a population. Finally, we establish the long term behavior of solution to the homogeneous growth-fragmentation equation by entropy method [1,2,3].","PeriodicalId":52741,"journal":{"name":"Open Journal of Mathematical Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-12-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139146479","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
Upper Estimates For Initial Coefficients and Fekete-Szegö Functional of A Class of Bi-univalent Functions Defined by Means of Subordination and Associated with Horadam Polynomials 通过从属关系定义并与霍拉达姆多项式相关的一类双等价函数的初始系数和 Fekete-Szegö 函数的上限估计值
Open Journal of Mathematical Analysis Pub Date : 2023-12-29 DOI: 10.30538/psrp-oma2023.0128
Atinuke Ayanfe Amao, T. Opoola
{"title":"Upper Estimates For Initial Coefficients and Fekete-Szegö Functional of A Class of Bi-univalent Functions Defined by Means of Subordination and Associated with Horadam Polynomials","authors":"Atinuke Ayanfe Amao, T. Opoola","doi":"10.30538/psrp-oma2023.0128","DOIUrl":"https://doi.org/10.30538/psrp-oma2023.0128","url":null,"abstract":"In this work, a new class of bi-univalent functions (I^{n+1}_{Gamma_m,lambda}(x,z)) is defined by means of subordination. Upper bounds for some initial coefficients and the Fekete-Szegö functional of functions in the new class were obtained.","PeriodicalId":52741,"journal":{"name":"Open Journal of Mathematical Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-12-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139147933","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
Multiplicity results for a class of nonlinear singular differential equation with a parameter 一类带参数非线性奇异微分方程的多重性结果
Open Journal of Mathematical Analysis Pub Date : 2023-12-29 DOI: 10.30538/psrp-oma2023.0130
Shaowen Li
{"title":"Multiplicity results for a class of nonlinear singular differential equation with a parameter","authors":"Shaowen Li","doi":"10.30538/psrp-oma2023.0130","DOIUrl":"https://doi.org/10.30538/psrp-oma2023.0130","url":null,"abstract":"This paper gives sufficient conditions for the existence of positive periodic solutions to general indefinite singular differential equations. Furthermore, under some assumptions we show the existence of two positive periodic solutions. The methods used are Krasnoselski(breve{mbox{i}})'s-Guo fixed point theorem and the positivity of the associated Green's function.","PeriodicalId":52741,"journal":{"name":"Open Journal of Mathematical Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-12-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139143808","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
Some new results of ostrowski type inequalities using 4-step quadratic kernel and their applications 使用四步二次核的奥斯特洛夫斯基式不等式的一些新结果及其应用
Open Journal of Mathematical Analysis Pub Date : 2023-12-29 DOI: 10.30538/psrp-oma2023.0127
Rana Muhammad Kashif Iqbal, A. Qayyum, Tayyaba Nashaiman Atta, Muhammad Moiz Basheer, Ghulam Shabbir
{"title":"Some new results of ostrowski type inequalities using 4-step quadratic kernel and their applications","authors":"Rana Muhammad Kashif Iqbal, A. Qayyum, Tayyaba Nashaiman Atta, Muhammad Moiz Basheer, Ghulam Shabbir","doi":"10.30538/psrp-oma2023.0127","DOIUrl":"https://doi.org/10.30538/psrp-oma2023.0127","url":null,"abstract":"This work is a generalization of Ostrowski type integral inequalities using a special 4-step quadratic kernel. Some new and useful results are obtained. Applications to Quadrature Rules and special Probability distribution are also evaluated.","PeriodicalId":52741,"journal":{"name":"Open Journal of Mathematical Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-12-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139146749","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
An Introduction to the Construction of Subfusion Frames 构建下沉式框架简介
Open Journal of Mathematical Analysis Pub Date : 2023-12-29 DOI: 10.30538/psrp-oma2023.0129
E. Rahimi, Z. Amiri
{"title":"An Introduction to the Construction of Subfusion Frames","authors":"E. Rahimi, Z. Amiri","doi":"10.30538/psrp-oma2023.0129","DOIUrl":"https://doi.org/10.30538/psrp-oma2023.0129","url":null,"abstract":"Fusion frames and subfusion frames are generalizations of frames in the Hilbert spaces. In this paper, we study subfusion frames and the relations between the fusion frames and subfusion frame operators. Also, we introduce new construction of subfusion frames. In particular, we study atomic resolution of the identity on the Hilbert spaces and derive new results.","PeriodicalId":52741,"journal":{"name":"Open Journal of Mathematical Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-12-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139147621","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
Identification of parameters in parabolic partial differential equation from final observations using deep learning 利用深度学习从最终观测结果识别抛物线偏微分方程中的参数
Open Journal of Mathematical Analysis Pub Date : 2023-06-30 DOI: 10.30538/psrp-oma2023.0120
Khalid Atif, El-Hassan Essouf, Khadija Rizki
{"title":"Identification of parameters in parabolic partial differential equation from final observations using deep learning","authors":"Khalid Atif, El-Hassan Essouf, Khadija Rizki","doi":"10.30538/psrp-oma2023.0120","DOIUrl":"https://doi.org/10.30538/psrp-oma2023.0120","url":null,"abstract":"In this work, we propose a deep learning approach for identifying parameters (initial condition, a coefficient in the diffusion term and source function) in parabolic partial differential equations (PDEs) from scattered final observations in space and noisy a priori knowledge. In Particular, we approximate the unknown solution and parameters by four deep neural networks trained to satisfy the differential operator, boundary conditions, a priori knowledge and observations. The proposed algorithm is mesh-free, which is key since meshes become infeasible in higher dimensions due to the number of grid points explosion. Instead of forming a mesh, the neural networks are trained on batches of randomly sampled time and space points. This work is devoted to the identification of several parameters of PDEs at the same time. The classical methods require a total a priori knowledge which is not feasible. While they cannot solve this inverse problem given such partial data, the deep learning method allows them to resolve it using minimal a priori knowledge.","PeriodicalId":52741,"journal":{"name":"Open Journal of Mathematical Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139366910","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 class of power series based modified newton method with high precision for solving nonlinear models 一类基于幂级数的高精度修正牛顿法，用于求解非线性模型
Open Journal of Mathematical Analysis Pub Date : 2023-06-30 DOI: 10.30538/psrp-oma2023.0121
O Ogbereyivwe, S. S. Umar
{"title":"A class of power series based modified newton method with high precision for solving nonlinear models","authors":"O Ogbereyivwe, S. S. Umar","doi":"10.30538/psrp-oma2023.0121","DOIUrl":"https://doi.org/10.30538/psrp-oma2023.0121","url":null,"abstract":"This manuscript proposed high-precision methods for obtaining solutions for nonlinear models. The method uses the Newton method as its predictor and an iterative function that involves the perturbed Newton method with the quotient of two power series as the corrector function. The theoretical analysis of convergence indicates that the methods class is of convergence order four, requiring three functions evaluation per cycle. The computation performance comparison with some existing methods shows that the developed methods class has perfect precision.","PeriodicalId":52741,"journal":{"name":"Open Journal of Mathematical Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139366650","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
Limit cycles obtained by perturbing a degenerate center 通过扰动退化中心获得的极限循环
Open Journal of Mathematical Analysis Pub Date : 2023-06-30 DOI: 10.30538/psrp-oma2023.0124
Nabil Rezaiki, A. Boulfoul
{"title":"Limit cycles obtained by perturbing a degenerate center","authors":"Nabil Rezaiki, A. Boulfoul","doi":"10.30538/psrp-oma2023.0124","DOIUrl":"https://doi.org/10.30538/psrp-oma2023.0124","url":null,"abstract":"This paper deals with the maximum number of limit cycles bifurcating from the degenerate centre [ dot{x}=-y(3x^2+y^2),: dot{y}=x(x^2-y^2), ] when we perturb it inside a class of all homogeneous polynomial differential systems of degree (5). Using averaging theory of second order, we show that, at most, five limit cycles are produced from the periodic orbits surrounding the degenerate centre under quintic perturbation. In addition, we provide six examples that give rise to exactly (5, 4, 3, 2, 1) and (0) limit cycles.","PeriodicalId":52741,"journal":{"name":"Open Journal of Mathematical Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139367677","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
Expansion of the Jensen ((Gamma_{1},Gamma_{2})-)functional inequatities based on Jensen type ((eta,lambda))-functional equation with (3k)-Variables in complex Banach space 基于复巴纳赫空间中具有（3k）变量的詹森型（（（γ_{1},γ_{2}））函数方程的詹森函数不等式的展开
Open Journal of Mathematical Analysis Pub Date : 2023-06-30 DOI: 10.30538/psrp-oma2023.0123
Ly Van An
{"title":"Expansion of the Jensen ((Gamma_{1},Gamma_{2})-)functional inequatities based on Jensen type ((eta,lambda))-functional equation with (3k)-Variables in complex Banach space","authors":"Ly Van An","doi":"10.30538/psrp-oma2023.0123","DOIUrl":"https://doi.org/10.30538/psrp-oma2023.0123","url":null,"abstract":"In this paper, we work on expanding the Jensen ((Gamma_{1},Gamma_{2}))-function inequalities by relying on the general Jensen ((eta,lambda))-functional equation with (3k)-variables on the complex Banach space. That is the main result of this.","PeriodicalId":52741,"journal":{"name":"Open Journal of Mathematical Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139367183","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
The local fractional natural transform and its applications to differential equations on Cantor sets 局部分数自然变换及其在康托尔集微分方程中的应用
Open Journal of Mathematical Analysis Pub Date : 2023-06-30 DOI: 10.30538/psrp-oma2023.0119
D. Ziane, M. Cherif
{"title":"The local fractional natural transform and its applications to differential equations on Cantor sets","authors":"D. Ziane, M. Cherif","doi":"10.30538/psrp-oma2023.0119","DOIUrl":"https://doi.org/10.30538/psrp-oma2023.0119","url":null,"abstract":"The work that we have done in this paper is the coupling method between the local fractional derivative and the Natural transform (we can call it the local fractional Natural transform), where we have provided some essential results and properties. We have applied this method to some linear local fractional differential equations on Cantor sets to get nondifferentiable solutions. The results show this transform’s effectiveness when we combine it with this operator.","PeriodicalId":52741,"journal":{"name":"Open Journal of Mathematical Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139367350","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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