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Mathematical model of drug release tothe posterior segment of the eye aftertopical drug delivery 局部给药后药物释放到眼后段的数学模型
Applicationes Mathematicae Pub Date : 2022-01-01 DOI: 10.4064/am2446-4-2022
E. Azhdari, A. Emami
{"title":"Mathematical model of drug release to\u0000the posterior segment of the eye after\u0000topical drug delivery","authors":"E. Azhdari, A. Emami","doi":"10.4064/am2446-4-2022","DOIUrl":"https://doi.org/10.4064/am2446-4-2022","url":null,"abstract":"","PeriodicalId":52313,"journal":{"name":"Applicationes Mathematicae","volume":"13 1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78085199","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 convergence scheme in the CRR model 关于CRR模型的收敛格式
Applicationes Mathematicae Pub Date : 2022-01-01 DOI: 10.4064/am2469-11-2022
Tomasz Kostrzewa
{"title":"On the convergence scheme in the CRR model","authors":"Tomasz Kostrzewa","doi":"10.4064/am2469-11-2022","DOIUrl":"https://doi.org/10.4064/am2469-11-2022","url":null,"abstract":"","PeriodicalId":52313,"journal":{"name":"Applicationes Mathematicae","volume":"103 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78085318","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 ratio-type copulas: theory and properties 一些新的比率型联:理论与性质
Applicationes Mathematicae Pub Date : 2022-01-01 DOI: 10.4064/am2436-12-2021
C. Chesneau
{"title":"Some new ratio-type copulas: theory and properties","authors":"C. Chesneau","doi":"10.4064/am2436-12-2021","DOIUrl":"https://doi.org/10.4064/am2436-12-2021","url":null,"abstract":"","PeriodicalId":52313,"journal":{"name":"Applicationes Mathematicae","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86203134","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
Extended local convergence and comparisons for two three-step Jarratt-type methods under the same conditions 两种三步jarrat型方法在相同条件下的扩展局部收敛性及比较
Applicationes Mathematicae Pub Date : 2022-01-01 DOI: 10.4064/am2433-7-2022
I. Argyros, S. George, Christopher I. Argyros
{"title":"Extended local convergence and comparisons for two three-step Jarratt-type methods under the same conditions","authors":"I. Argyros, S. George, Christopher I. Argyros","doi":"10.4064/am2433-7-2022","DOIUrl":"https://doi.org/10.4064/am2433-7-2022","url":null,"abstract":"","PeriodicalId":52313,"journal":{"name":"Applicationes Mathematicae","volume":"13 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74342149","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 a Stein method based approximation for a two-dimensional Markov chain 基于Stein方法的二维马尔可夫链近似
Applicationes Mathematicae Pub Date : 2021-06-06 DOI: 10.4064/am2468-11-2022
Ying-Ling Lu
{"title":"On a Stein method based approximation for a two-dimensional Markov chain","authors":"Ying-Ling Lu","doi":"10.4064/am2468-11-2022","DOIUrl":"https://doi.org/10.4064/am2468-11-2022","url":null,"abstract":"We study an approximation method of stationary characters of a two-dimensional Markov chain via the Stein method. For this purpose, innovative methods are developed to estimate the moments of the Markov chain, as well as the solution to the Poisson equation with a partial differential operator.","PeriodicalId":52313,"journal":{"name":"Applicationes Mathematicae","volume":"121 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-06-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78430664","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
On summation formulas in probability theory 概率论中的求和公式
Applicationes Mathematicae Pub Date : 2021-05-16 DOI: 10.4064/am2472-2-2023
A. Patkowski
{"title":"On summation formulas in probability theory","authors":"A. Patkowski","doi":"10.4064/am2472-2-2023","DOIUrl":"https://doi.org/10.4064/am2472-2-2023","url":null,"abstract":"We offer some summation formulas that appear to have great utility in probability theory. The proofs require some recent results from analysis that have thus far been applied to basic hypergeometric functions.","PeriodicalId":52313,"journal":{"name":"Applicationes Mathematicae","volume":"4 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-05-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87362388","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
Generalizing the local convergence analysis of a class of $k$-step iterative algorithms with Hölder continuous derivative in Banach spaces 推广了Banach空间中具有Hölder连续导数的k阶迭代算法的局部收敛性分析
Applicationes Mathematicae Pub Date : 2021-01-01 DOI: 10.4064/AM2410-7-2020
I. Argyros, Debasis Sharma, S. K. Parhi
{"title":"Generalizing the local convergence analysis of a class of $k$-step iterative algorithms with Hölder continuous derivative in Banach spaces","authors":"I. Argyros, Debasis Sharma, S. K. Parhi","doi":"10.4064/AM2410-7-2020","DOIUrl":"https://doi.org/10.4064/AM2410-7-2020","url":null,"abstract":". We present the local convergence analysis of a class of k -step iterative algorithms using the Hölder continuity condition for approximating solutions of nonlinear equations in Banach spaces. Our analysis is based on the Hölder continuity of the first-order Fréchet derivative and boosts the ap-plicability of the family when the Lipschitz condition fails. This convergence analysis generalizes the local convergence results with the Lipschitz continuity condition. Also, it produces radii of balls of convergence along with the bounds on the error and uniqueness of the solution. The dynamical properties of the class are also explored using complex dynamics tools. Finally, numerical tests are conducted in support of our new theoretical results.","PeriodicalId":52313,"journal":{"name":"Applicationes Mathematicae","volume":"62 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77919784","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
Global regular solvability of a nonuniformly nonlinear sixth order Cahn–Hilliard system 一类非一致非线性六阶Cahn-Hilliard系统的全局正则可解性
Applicationes Mathematicae Pub Date : 2021-01-01 DOI: 10.4064/AM2419-4-2021
I. Pawlow, W. Zaja̧czkowski
{"title":"Global regular solvability of a nonuniformly nonlinear sixth order Cahn–Hilliard system","authors":"I. Pawlow, W. Zaja̧czkowski","doi":"10.4064/AM2419-4-2021","DOIUrl":"https://doi.org/10.4064/AM2419-4-2021","url":null,"abstract":"","PeriodicalId":52313,"journal":{"name":"Applicationes Mathematicae","volume":"179 1","pages":"1-35"},"PeriodicalIF":0.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80074143","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 bilateral contact problem with nonlocal friction, damage and adhesion 非局部摩擦、损伤和粘连的双边接触问题
Applicationes Mathematicae Pub Date : 2021-01-01 DOI: 10.4064/AM2402-2-2021
A. Kasri
{"title":"A bilateral contact problem with nonlocal friction, damage and adhesion","authors":"A. Kasri","doi":"10.4064/AM2402-2-2021","DOIUrl":"https://doi.org/10.4064/AM2402-2-2021","url":null,"abstract":"We consider a bilateral contact problem between an electroelastic viscoplastic body with damage and an electrically conductive foundation. The process is quasistatic and the contact is modelled with a general nonlocal friction law in which the adhesion of contact surfaces is taken into account. We derive a variational formulation of the problem and, under smallness assumptions, we establish an existence and uniqueness theorem of a weak solution, including a regularity result. We also study the dependence of the solution on the data.","PeriodicalId":52313,"journal":{"name":"Applicationes Mathematicae","volume":"61 7 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77436469","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
Extended Solow–Swan model for capital and natural resources with the Allee effect 具有Allee效应的资本与自然资源的扩展Solow-Swan模型
Applicationes Mathematicae Pub Date : 2021-01-01 DOI: 10.4064/am2424-5-2021
Bartłomiej Kluczyński
{"title":"Extended Solow–Swan model for capital and natural resources with the Allee effect","authors":"Bartłomiej Kluczyński","doi":"10.4064/am2424-5-2021","DOIUrl":"https://doi.org/10.4064/am2424-5-2021","url":null,"abstract":"We study an extended Solow–Swan model for capital, denoted by K, and natural resources, denoted by N . We are interested in production, denoted by Y , expressed by a simplification of the Cobb–Douglas function Y = f(K,L,A) with L = A = 1. We study the model described by the following system of ODEs: { K̇ = sKα − δK, Ṅ = rN ( N CT − 1 ) ( 1− N CC ) − γ0K. We study the asymptotics of solutions; among other things, we find critical points, determine their stability and find their attraction basins. This article was inspired by [M. Kornafel, I. Telega, Int. J. Sustainable Economy 12 (2020), 1–24].","PeriodicalId":52313,"journal":{"name":"Applicationes Mathematicae","volume":"24 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85947122","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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