{"title":"On the existence, uniqueness and stability results for time-fractional parabolic integrodifferential equations","authors":"S. Mahata, R. K. Sinha","doi":"10.1216/jie.2020.32.457","DOIUrl":"https://doi.org/10.1216/jie.2020.32.457","url":null,"abstract":"","PeriodicalId":50176,"journal":{"name":"Journal of Integral Equations and Applications","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2020-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47096898","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}
{"title":"Regularization of a terminal value nonlinear diffusion equation with conformable time derivative","authors":"V. Au, Yong Zhou, N. Can, Nguyen Tuy Tuan","doi":"10.1216/jie.2020.32.397","DOIUrl":"https://doi.org/10.1216/jie.2020.32.397","url":null,"abstract":"","PeriodicalId":50176,"journal":{"name":"Journal of Integral Equations and Applications","volume":"32 1","pages":"397-416"},"PeriodicalIF":0.8,"publicationDate":"2020-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44639809","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}
We analyze the existence and uniqueness of solutions in Lp spaces to a class of integral equations of the third kind with weakly singular kernels.
我们分析了一类具有弱奇异核的第三类积分方程在Lp空间中解的存在性和唯一性。
{"title":"Integral equations of the third kind in $L^p$ spaces","authors":"T. Diogo, A. Pedas, G. Vainikko","doi":"10.1216/jie.2020.32.417","DOIUrl":"https://doi.org/10.1216/jie.2020.32.417","url":null,"abstract":"We analyze the existence and uniqueness of solutions in Lp spaces to a class of integral equations of the third kind with weakly singular kernels.","PeriodicalId":50176,"journal":{"name":"Journal of Integral Equations and Applications","volume":"32 1","pages":"417-427"},"PeriodicalIF":0.8,"publicationDate":"2020-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48781041","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}
{"title":"A fractional multiterm Gronwall lemma and its application to the stability of fractional integrodifferential systems","authors":"D. Idczak","doi":"10.1216/jie.2020.32.447","DOIUrl":"https://doi.org/10.1216/jie.2020.32.447","url":null,"abstract":"","PeriodicalId":50176,"journal":{"name":"Journal of Integral Equations and Applications","volume":"32 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2020-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46041624","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}
{"title":"Terminal value problems of fractional evolution equations","authors":"Lu Zhang, Yong Zhou, B. Samet","doi":"10.1216/jie.2020.32.377","DOIUrl":"https://doi.org/10.1216/jie.2020.32.377","url":null,"abstract":"","PeriodicalId":50176,"journal":{"name":"Journal of Integral Equations and Applications","volume":"32 1","pages":"377-393"},"PeriodicalIF":0.8,"publicationDate":"2020-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41496884","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}
{"title":"Smoothing transformation and collocation methods for third-kind linear Volterra integral equations","authors":"Xiaoli Xu, Yu Xiao, Huiming Song","doi":"10.1216/jie.2020.32.361","DOIUrl":"https://doi.org/10.1216/jie.2020.32.361","url":null,"abstract":"","PeriodicalId":50176,"journal":{"name":"Journal of Integral Equations and Applications","volume":"32 1","pages":"361-375"},"PeriodicalIF":0.8,"publicationDate":"2020-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45488620","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}
We present a correction of the mistake made in the proof concerning the choice of the test function in our published paper in J. Integral Equations Appl. 30:1 (2018), 67–80.
我们在J.Integral Equations Appl。30:1（2018），67–80。
{"title":"Errata to “Blow-up of solutions for semilinear fractional Schrödinger equations”","authors":"A. Fino, I. Dannawi, M. Kirane","doi":"10.1216/jie.2020.32.395","DOIUrl":"https://doi.org/10.1216/jie.2020.32.395","url":null,"abstract":"We present a correction of the mistake made in the proof concerning the choice of the test function in our published paper in J. Integral Equations Appl. 30:1 (2018), 67–80.","PeriodicalId":50176,"journal":{"name":"Journal of Integral Equations and Applications","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2020-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46713744","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}
{"title":"A general and optimal stability result for a laminated beam","authors":"S. E. Mukiawa, T. Apalara, S. Messaoudi","doi":"10.1216/jie.2020.32.341","DOIUrl":"https://doi.org/10.1216/jie.2020.32.341","url":null,"abstract":"","PeriodicalId":50176,"journal":{"name":"Journal of Integral Equations and Applications","volume":"32 1","pages":"341-359"},"PeriodicalIF":0.8,"publicationDate":"2020-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44401481","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}
The asymptotic behavior of solutions of a class of Volterra integrodifferential equations is studied. Some new sufficient conditions are obtained in the presence of perturbation term. Our approach is based on some estimations on the solutions of the perturbed equation with respect to the solutions of the original unperturbed Volterra integrodifferential equations. We prove that the convergence of solutions to the equilibrium point can be studied provided that the perturbation term is bounded by a suitable function. The idea for this approach is based on a new integral inequality of Gronwall type.
{"title":"On the stability of perturbed Volterra integrodifferential equations","authors":"M. Hammami, Najla Hnia","doi":"10.1216/jie.2020.32.325","DOIUrl":"https://doi.org/10.1216/jie.2020.32.325","url":null,"abstract":"The asymptotic behavior of solutions of a class of Volterra integrodifferential equations is studied. Some new sufficient conditions are obtained in the presence of perturbation term. Our approach is based on some estimations on the solutions of the perturbed equation with respect to the solutions of the original unperturbed Volterra integrodifferential equations. We prove that the convergence of solutions to the equilibrium point can be studied provided that the perturbation term is bounded by a suitable function. The idea for this approach is based on a new integral inequality of Gronwall type.","PeriodicalId":50176,"journal":{"name":"Journal of Integral Equations and Applications","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2020-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46530764","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}
{"title":"Computing the Newton potential in the boundary integral equation for the Dirichlet problem of the Poisson equation","authors":"W. Guan, Jiang Ying, Yuesheng Xu","doi":"10.1216/jie.2020.32.293","DOIUrl":"https://doi.org/10.1216/jie.2020.32.293","url":null,"abstract":"","PeriodicalId":50176,"journal":{"name":"Journal of Integral Equations and Applications","volume":"32 1","pages":"293-324"},"PeriodicalIF":0.8,"publicationDate":"2020-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42588586","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}
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