{"title":"A modified Tseng's extragradient method for solving variational inequality problems","authors":"Jian-Wen Peng, Ying-Ming Qiu, Yekini Shehu","doi":"10.1080/00036811.2023.2292279","DOIUrl":"https://doi.org/10.1080/00036811.2023.2292279","url":null,"abstract":"In this paper, we introduce a modified Tseng's extragradient method with a new step-length rule to solve pseudo-monotone variational inequalities in real Hilbert spaces. Under suitable conditions, ...","PeriodicalId":55507,"journal":{"name":"Applicable Analysis","volume":"27 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2023-12-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138580533","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":"Saddle point least squares discretization for convection-diffusion","authors":"Constantin Bacuta, Daniel Hayes, Tyler O'Grady","doi":"10.1080/00036811.2023.2291511","DOIUrl":"https://doi.org/10.1080/00036811.2023.2291511","url":null,"abstract":"We consider a model convection-diffusion problem and present our recent analysis and numerical results regarding mixed finite element formulation and discretization in the singular perturbed case w...","PeriodicalId":55507,"journal":{"name":"Applicable Analysis","volume":"196 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2023-12-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138574537","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":"The stability of a class of 2D non-newtonian fluid equations with unbounded delays","authors":"Guowei Liu, Luyan Yi, Caidi Zhao","doi":"10.1080/00036811.2023.2291504","DOIUrl":"https://doi.org/10.1080/00036811.2023.2291504","url":null,"abstract":"We address the stability of stationary solutions to a class of 2D non-newtonian fluid equations, when the external force contains hereditary characteristics involving unbounded delays. Firstly, whe...","PeriodicalId":55507,"journal":{"name":"Applicable Analysis","volume":"107 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2023-12-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138569340","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":"Analysis of a delayed spatiotemporal model of HBV infection with logistic growth","authors":"Séverin Foko, Calvin Tadmon","doi":"10.1080/00036811.2023.2291813","DOIUrl":"https://doi.org/10.1080/00036811.2023.2291813","url":null,"abstract":"In this paper, following previous works of ours, we deal with a mathematical model of hepatitis B virus (HBV) infection. We assume spatial diffusion of free HBV particles, logistic growth for both ...","PeriodicalId":55507,"journal":{"name":"Applicable Analysis","volume":"21 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2023-12-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138546464","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":"Upscaling of a diffusion problem with flux jump in high contrast composites","authors":"Renata Bunoiu, Claudia Timofte","doi":"10.1080/00036811.2023.2291810","DOIUrl":"https://doi.org/10.1080/00036811.2023.2291810","url":null,"abstract":"We study a diffusion problem in a periodic fibered composite consisting of two materials with highly contrasting diffusion coefficients. An important feature of our problem is the existence of an i...","PeriodicalId":55507,"journal":{"name":"Applicable Analysis","volume":"21 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2023-12-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138546530","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":"The local Borg-Marchenko uniqueness theorem for matrix-valued Schrödinger operators with locally smooth at the right endpoint potentials","authors":"Tiezheng Li, Guangsheng Wei","doi":"10.1080/00036811.2023.2290706","DOIUrl":"https://doi.org/10.1080/00036811.2023.2290706","url":null,"abstract":"We present a new expression for the Weyl-Titchmarsh matrix-valued function of a self-adjoint matrix-valued Schrödinger operator defined on the interval [0,b), where 0<b≤∞. Let Hj=−d2dx2Im+Qj, j=1,2...","PeriodicalId":55507,"journal":{"name":"Applicable Analysis","volume":"49 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2023-12-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138546537","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":"The backward problem for time-fractional evolution equations","authors":"S. E. Chorfi, L. Maniar, M. Yamamoto","doi":"10.1080/00036811.2023.2290273","DOIUrl":"https://doi.org/10.1080/00036811.2023.2290273","url":null,"abstract":"In this paper, we consider the backward problem for fractional in time evolution equations ∂tαu(t)=Au(t) with the Caputo derivative of order 0<α≤1, where A is a self-adjoint and bounded above opera...","PeriodicalId":55507,"journal":{"name":"Applicable Analysis","volume":"34 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2023-12-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138546458","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":"Maxwell operator in a cylinder","authors":"N. D. Filonov","doi":"10.1080/00036811.2023.2283132","DOIUrl":"https://doi.org/10.1080/00036811.2023.2283132","url":null,"abstract":"The Maxwell operator in a 3D cylinder is considered. The coefficients are assumed to be scalar functions depending on the longitudinal variable only. Such an operator is represented as a sum of a c...","PeriodicalId":55507,"journal":{"name":"Applicable Analysis","volume":"51 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2023-11-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138541016","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}
Nayier Jangi Bahador, Safar Irandoust-Pakchin, Somaiyeh Abdi-Mazraeh
{"title":"Numerical treatment of time-fractional sub-diffusion equation using p-fractional linear multistep methods","authors":"Nayier Jangi Bahador, Safar Irandoust-Pakchin, Somaiyeh Abdi-Mazraeh","doi":"10.1080/00036811.2023.2283131","DOIUrl":"https://doi.org/10.1080/00036811.2023.2283131","url":null,"abstract":"In this paper, a kind of the differential equation including a time-fractional sub-diffusion equation is considered. Through this memorandum, a well-known technique, in the time direction is adopte...","PeriodicalId":55507,"journal":{"name":"Applicable Analysis","volume":"72 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2023-11-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138541017","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":"Nonexistence of periodic peakon and peakon for a highly nonlinear shallow-water model","authors":"Yu Liu, Xingxing Liu","doi":"10.1080/00036811.2023.2283136","DOIUrl":"https://doi.org/10.1080/00036811.2023.2283136","url":null,"abstract":"In this paper, we investigate the nonexistence of the periodic peakon and peakon for a highly nonlinear shallow-water model, which has been recently derived from the full governing equations for tw...","PeriodicalId":55507,"journal":{"name":"Applicable Analysis","volume":"64 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2023-11-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138541015","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}