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Journal of Integral Equations and Applications最新文献

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GENERALIZED INTEGRATION OPERATORS ON SOME BANACH SPACES OF ANALYTIC FUNCTIONS 解析函数的某些banach空间上的广义积分算子
4区 数学
Journal of Integral Equations and Applications Pub Date : 2023-10-01 DOI: 10.1216/jie.2023.35.339
Mingshan Li, Zhenyou Wang
{"title":"GENERALIZED INTEGRATION OPERATORS ON SOME BANACH SPACES OF ANALYTIC FUNCTIONS","authors":"Mingshan Li, Zhenyou Wang","doi":"10.1216/jie.2023.35.339","DOIUrl":"https://doi.org/10.1216/jie.2023.35.339","url":null,"abstract":"In 2020, Chalmoukis introduced a generalization of the Volterra operator and studied its boundedness and compactness on Hardy spaces. Inspired by Chalmoukis (2020), Li, Liu and Lou (2014), and Li, Liu and Yuan (2020), we study the boundedness and compactness of the generalized Volterra operator on analytic Morrey spaces and Dirichlet type spaces.","PeriodicalId":50176,"journal":{"name":"Journal of Integral Equations and Applications","volume":"57 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136093569","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A NOVEL METHOD FOR LINEAR AND NONLINEAR FRACTIONAL VOLTERRA INTEGRAL EQUATIONS VIA CUBIC HAT FUNCTIONS 利用三次帽函数求解线性和非线性分数阶volterra积分方程的新方法
4区 数学
Journal of Integral Equations and Applications Pub Date : 2023-10-01 DOI: 10.1216/jie.2023.35.291
Hamed Ebrahimi, Jafar Biazar
{"title":"A NOVEL METHOD FOR LINEAR AND NONLINEAR FRACTIONAL VOLTERRA INTEGRAL EQUATIONS VIA CUBIC HAT FUNCTIONS","authors":"Hamed Ebrahimi, Jafar Biazar","doi":"10.1216/jie.2023.35.291","DOIUrl":"https://doi.org/10.1216/jie.2023.35.291","url":null,"abstract":"","PeriodicalId":50176,"journal":{"name":"Journal of Integral Equations and Applications","volume":"20 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136167274","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
EXISTENCE, UNIQUENESS AND ABSTRACT APPROACH TO HYERS–ULAM STABILITY IN BANACH LATTICE ALGEBRAS AND AN APPLICATION banach格代数hyers-ulam稳定性的存在唯一性和抽象方法及其应用
4区 数学
Journal of Integral Equations and Applications Pub Date : 2023-10-01 DOI: 10.1216/jie.2023.35.259
Nadir Benkaci-Ali
{"title":"EXISTENCE, UNIQUENESS AND ABSTRACT APPROACH TO HYERS–ULAM STABILITY IN BANACH LATTICE ALGEBRAS AND AN APPLICATION","authors":"Nadir Benkaci-Ali","doi":"10.1216/jie.2023.35.259","DOIUrl":"https://doi.org/10.1216/jie.2023.35.259","url":null,"abstract":"","PeriodicalId":50176,"journal":{"name":"Journal of Integral Equations and Applications","volume":"40 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136168127","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
REFLECTED GENERALIZED BSDE WITH JUMPS UNDER STOCHASTIC CONDITIONS AND AN OBSTACLE PROBLEM FOR INTEGRAL-PARTIAL DIFFERENTIAL EQUATIONS WITH NONLINEAR NEUMANN BOUNDARY CONDITIONS 随机条件下带跳跃的反射广义微分方程及非线性neumann边界条件下的积分-偏微分方程障碍问题
4区 数学
Journal of Integral Equations and Applications Pub Date : 2023-10-01 DOI: 10.1216/jie.2023.35.311
Mohammed Elhachemy, Mohamed El Otmani
{"title":"REFLECTED GENERALIZED BSDE WITH JUMPS UNDER STOCHASTIC CONDITIONS AND AN OBSTACLE PROBLEM FOR INTEGRAL-PARTIAL DIFFERENTIAL EQUATIONS WITH NONLINEAR NEUMANN BOUNDARY CONDITIONS","authors":"Mohammed Elhachemy, Mohamed El Otmani","doi":"10.1216/jie.2023.35.311","DOIUrl":"https://doi.org/10.1216/jie.2023.35.311","url":null,"abstract":"By a probabilistic approach, we look at an obstacle problem with nonlinear Neumann boundary conditions for parabolic semilinear integral-partial differential equations. We prove the existence of a continuous viscosity solution of this problem. The nonlinear part of the equation and the Neumann condition satisfy the stochastic monotonicity condition on the solution variable. Furthermore, the nonlinear part is stochastic Lipschitz on the parts that depend on the gradient and the integral of the solution. It should be noted that the existence of the viscosity solution for this problem has recently been investigated using a standard monotonicity and Lipschitz conditions. We show that the solution of the related reflected generalized backward stochastic differential equations with jumps exists and is unique when the barrier is right continuous left limited (rcll) and the generators satisfy stochastic monotonicity and Lipschitz conditions. In this case, we get a comparison result.","PeriodicalId":50176,"journal":{"name":"Journal of Integral Equations and Applications","volume":"31 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136093448","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
MONOTONICITY OF STANDING WAVES FOR THE GENERALIZED FRACTIONAL SCHRÖDINGER EQUATIONS 广义分数阶schrÖdinger方程驻波的单调性
4区 数学
Journal of Integral Equations and Applications Pub Date : 2023-10-01 DOI: 10.1216/jie.2023.35.375
Yajie Zhang, Feiyao Ma, Weifeng Wo
{"title":"MONOTONICITY OF STANDING WAVES FOR THE GENERALIZED FRACTIONAL SCHRÖDINGER EQUATIONS","authors":"Yajie Zhang, Feiyao Ma, Weifeng Wo","doi":"10.1216/jie.2023.35.375","DOIUrl":"https://doi.org/10.1216/jie.2023.35.375","url":null,"abstract":"","PeriodicalId":50176,"journal":{"name":"Journal of Integral Equations and Applications","volume":"90 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136167815","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
SOLVABILITY FOR FRACTIONAL INTEGRAL EQUATIONS VIA PETRYSHYN’S FIXED-POINT THEOREM 分数阶积分方程的不动点定理可解性
4区 数学
Journal of Integral Equations and Applications Pub Date : 2023-10-01 DOI: 10.1216/jie.2023.35.277
Amar Deep, Deepika Saini, Hitesh Kumar Singh, Ümit Çakan
{"title":"SOLVABILITY FOR FRACTIONAL INTEGRAL EQUATIONS VIA PETRYSHYN’S FIXED-POINT THEOREM","authors":"Amar Deep, Deepika Saini, Hitesh Kumar Singh, Ümit Çakan","doi":"10.1216/jie.2023.35.277","DOIUrl":"https://doi.org/10.1216/jie.2023.35.277","url":null,"abstract":"","PeriodicalId":50176,"journal":{"name":"Journal of Integral Equations and Applications","volume":"17 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136167824","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
FAST MULTISCALE FUNCTIONAL ESTIMATION IN OPTIMAL EMG PLACEMENT FOR ROBOTIC PROSTHESIS CONTROLLERS 机器人假体控制器最优emg定位的快速多尺度函数估计
4区 数学
Journal of Integral Equations and Applications Pub Date : 2023-10-01 DOI: 10.1216/jie.2023.35.355
Jin Ren, Guohui Song, Lucia Tabacu, Yuesheng Xu
{"title":"FAST MULTISCALE FUNCTIONAL ESTIMATION IN OPTIMAL EMG PLACEMENT FOR ROBOTIC PROSTHESIS CONTROLLERS","authors":"Jin Ren, Guohui Song, Lucia Tabacu, Yuesheng Xu","doi":"10.1216/jie.2023.35.355","DOIUrl":"https://doi.org/10.1216/jie.2023.35.355","url":null,"abstract":"Electrocardiogram (EMG) signals play a significant role in decoding muscle contraction information for robotic hand prosthesis controllers. Widely applied decoders require large amount of EMG signals sensors, resulting in complicated calculations and unsatisfactory predictions. By the biomechanical process of single degree-of-freedom human hand movements, only several EMG signals are essential for accurate predictions. Recently, a novel predictor of hand movements adopts a multistage Sequential, Adaptive Functional Estimation (SAFE) method based on historical Functional Linear Model (FLM) to select important EMG signals and provide precise projections. However, SAFE repeatedly performs matrix-vector multiplications with a dense representation matrix of the integral operator for the FLM, which is computational expansive. Noting that with a properly chosen basis, the representation of the integral operator concentrates on a few bands of the basis, the goal of this study is to develop a fast Multiscale SAFE (MSAFE) method aiming at reducing computational costs while preserving (or even improving) the accuracy of the original SAFE method. Specifically, a multiscale piecewise polynomial basis is adopted to discretize the integral operator for the FLM, resulting in an approximately sparse representation matrix, and then the matrix is truncated to a sparse one. This approach not only accelerates computations but also improves robustness against noises. When applied to real hand movement data, MSAFE saves 85%$sim$90% computing time compared with SAFE, while producing better sensor selection and comparable accuracy. In a simulation study, MSAFE shows stronger stability in sensor selection and prediction accuracy against correlated noise than SAFE.","PeriodicalId":50176,"journal":{"name":"Journal of Integral Equations and Applications","volume":"127 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136167059","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
COMPACT INTERTWINING RELATIONS FOR COMPOSITION OPERATORS BETWEEN MORREY SPACES AND BLOCH-TYPE SPACES morrey空间和bloch-type空间之间复合算子的紧交织关系
4区 数学
Journal of Integral Equations and Applications Pub Date : 2023-06-01 DOI: 10.1216/jie.2023.35.215
Mao Xiao, Junming Liu
{"title":"COMPACT INTERTWINING RELATIONS FOR COMPOSITION OPERATORS BETWEEN MORREY SPACES AND BLOCH-TYPE SPACES","authors":"Mao Xiao, Junming Liu","doi":"10.1216/jie.2023.35.215","DOIUrl":"https://doi.org/10.1216/jie.2023.35.215","url":null,"abstract":"","PeriodicalId":50176,"journal":{"name":"Journal of Integral Equations and Applications","volume":"87 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135195499","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
VOLTERRA INTEGRAL OPERATORS FROM MORREY-TYPE SPACES TO DIRICHLET–MORREY TYPE SPACES 从morrey型空间到dirichlet-morrey型空间的Volterra积分算子
4区 数学
Journal of Integral Equations and Applications Pub Date : 2023-06-01 DOI: 10.1216/jie.2023.35.131
Ruishen Qian
{"title":"VOLTERRA INTEGRAL OPERATORS FROM MORREY-TYPE SPACES TO DIRICHLET–MORREY TYPE SPACES","authors":"Ruishen Qian","doi":"10.1216/jie.2023.35.131","DOIUrl":"https://doi.org/10.1216/jie.2023.35.131","url":null,"abstract":"","PeriodicalId":50176,"journal":{"name":"Journal of Integral Equations and Applications","volume":"14 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135195503","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
VOLTERRA AND FREDHOLM INTEGRAL EQUATIONS IN LOCALLY CONVEX SPACES, AND LEADER-TYPE CONTRACTIONS IN GAUGE SPACES 局部凸空间中的Volterra和fredholm积分方程，以及规范空间中的引导者型收缩
4区 数学
Journal of Integral Equations and Applications Pub Date : 2023-06-01 DOI: 10.1216/jie.2023.35.141
Kazimierz Włodarczyk
{"title":"VOLTERRA AND FREDHOLM INTEGRAL EQUATIONS IN LOCALLY CONVEX SPACES, AND LEADER-TYPE CONTRACTIONS IN GAUGE SPACES","authors":"Kazimierz Włodarczyk","doi":"10.1216/jie.2023.35.141","DOIUrl":"https://doi.org/10.1216/jie.2023.35.141","url":null,"abstract":"","PeriodicalId":50176,"journal":{"name":"Journal of Integral Equations and Applications","volume":"12 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135195505","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","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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