{"title":"An $h$-$p$ version of the Chebyshev spectral collocation method for Volterra integro-differential equations with vanishing delays","authors":"Lina Wang, Lijun Yi, Hong-Li Jia","doi":"10.1216/jie.2020.32.101","DOIUrl":"https://doi.org/10.1216/jie.2020.32.101","url":null,"abstract":"","PeriodicalId":50176,"journal":{"name":"Journal of Integral Equations and Applications","volume":"32 1","pages":"101-128"},"PeriodicalIF":0.8,"publicationDate":"2020-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41464178","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":"Nonlinear continuous Fornasini–Marchesini model of fractional order with nonzero initial conditions","authors":"D. Idczak, R. Kamocki, M. Majewski","doi":"10.1216/jie.2020.32.19","DOIUrl":"https://doi.org/10.1216/jie.2020.32.19","url":null,"abstract":"A continuous nonlinear Fornasini–Marchesini system of fractional order with nonzero initial conditions is considered. The existence, uniqueness and continuous dependence of solutions on functional parameters are studied. Some results concerning single and mixed fractional derivatives of functions of two variables are presented.","PeriodicalId":50176,"journal":{"name":"Journal of Integral Equations and Applications","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2020-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49388053","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":"Nonlocal elliptic variational-hemivariational inequalities","authors":"S. Migórski, V. T. Nguyen, Shengda Zeng","doi":"10.1216/jie.2020.32.51","DOIUrl":"https://doi.org/10.1216/jie.2020.32.51","url":null,"abstract":"","PeriodicalId":50176,"journal":{"name":"Journal of Integral Equations and Applications","volume":"32 1","pages":"51-58"},"PeriodicalIF":0.8,"publicationDate":"2020-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43319286","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 stability result for an inverse problem with integrodifferential operator on a finite interval","authors":"S. Mosazadeh, H. Koyunbakan","doi":"10.1216/jie.2020.32.77","DOIUrl":"https://doi.org/10.1216/jie.2020.32.77","url":null,"abstract":"","PeriodicalId":50176,"journal":{"name":"Journal of Integral Equations and Applications","volume":"32 1","pages":"77-87"},"PeriodicalIF":0.8,"publicationDate":"2020-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42466319","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}
Elizabeth A Stormshak, David S DeGarmo, Krista M Chronister, Allison S Caruthers, Jenna Stapleton, Corrina A Falkenstein
{"title":"The impact of substance use during middle school and young adulthood on parent-young adult relationships.","authors":"Elizabeth A Stormshak, David S DeGarmo, Krista M Chronister, Allison S Caruthers, Jenna Stapleton, Corrina A Falkenstein","doi":"10.1037/fam0000549","DOIUrl":"10.1037/fam0000549","url":null,"abstract":"<p><p>Sharp increases in substance use and other risk behaviors during adolescence and young adulthood threaten the quality of the parent-child relationship, a critical context for positive adjustment and well-being. There is a dearth of research, however, on the influence of adolescent and young adult substance use on the parent-young adult relationship. Study aims were to examine longitudinally the associations between classes of adolescent and young adult alcohol and marijuana use, and the impact of alcohol and marijuana use on parent-young adult relationship dynamics and quality. We analyzed longitudinal data collected with a socioeconomically and racially diverse urban community sample of 593 parents and their children over 6 years to identify latent classes of growth in adolescent alcohol and marijuana use, and test for differences in young adult alcohol and marijuana use and parent-young adult relationship quality by latent classes. Structural equation modeling results showed that (a) alcohol and marijuana use during the middle school years predicted adult alcohol and marijuana use during young adulthood; (b) high-risk alcohol and marijuana use, specifically, was associated with poorer parent-young adult relationship quality; (c) initiation of marijuana use during young adulthood was also associated with poorer parent-young adult relationship quality; and (d) for minority youth in all alcohol risk classes, parent-young adult relationship quality was lower. Results show that growth in alcohol and marijuana use during adolescence, and initiation of marijuana use later in young adulthood, exert unique, detrimental effects on parent-young adult relationship quality. Implications for future research and prevention and intervention development for young adults are discussed. (PsycINFO Database Record (c) 2019 APA, all rights reserved).</p>","PeriodicalId":50176,"journal":{"name":"Journal of Integral Equations and Applications","volume":"1 1","pages":"797-808"},"PeriodicalIF":2.3,"publicationDate":"2019-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6776689/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88118831","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Volterra-Choquet integral equations","authors":"S. Gal","doi":"10.1216/jie-2019-31-4-495","DOIUrl":"https://doi.org/10.1216/jie-2019-31-4-495","url":null,"abstract":"","PeriodicalId":50176,"journal":{"name":"Journal of Integral Equations and Applications","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2019-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47728238","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":"Well-posedness and stability for a viscoelastic wave equation with density and time-varying delay in $mathbb {R}^n$","authors":"B. Feng, Xinguang Yang, Keqin Su","doi":"10.1216/jie-2019-31-4-465","DOIUrl":"https://doi.org/10.1216/jie-2019-31-4-465","url":null,"abstract":"","PeriodicalId":50176,"journal":{"name":"Journal of Integral Equations and Applications","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2019-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47166165","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":"Abstract weighted pseudo almost automorphic functions, convolution invariance and neutral integral equations with applications","authors":"M. Pinto, Felipe Poblete, Daniel Sepúlveda","doi":"10.1216/jie-2019-31-4-571","DOIUrl":"https://doi.org/10.1216/jie-2019-31-4-571","url":null,"abstract":"","PeriodicalId":50176,"journal":{"name":"Journal of Integral Equations and Applications","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2019-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41981670","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":"Controllability of nonlinear impulsive integro-differential fractional time-invariant systems","authors":"Yong Huang, Zhenhai Liu","doi":"10.1216/jie-2019-31-3-329","DOIUrl":"https://doi.org/10.1216/jie-2019-31-3-329","url":null,"abstract":"","PeriodicalId":50176,"journal":{"name":"Journal of Integral Equations and Applications","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2019-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44692742","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 doubly nonlocal Laplace operator and its connection to the classical Laplacian","authors":"P. Radu, Kelseys Wells","doi":"10.1216/JIE-2019-31-3-379","DOIUrl":"https://doi.org/10.1216/JIE-2019-31-3-379","url":null,"abstract":"In this paper, motivated by the state-based peridynamic framework, we introduce a new nonlocal Laplacian that exhibits double nonlocality through the use of iterated integral operators. The operator introduces additional degrees of flexibility that can allow for better representation of physical phenomena at different scales and in materials with different properties. We study mathematical properties of this state-based Laplacian, including connections with other nonlocal and local counterparts. Finally, we obtain explicit rates of convergence for this doubly nonlocal operator to the classical Laplacian as the radii for the horizons of interaction kernels shrink to zero.","PeriodicalId":50176,"journal":{"name":"Journal of Integral Equations and Applications","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2019-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49643903","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}