{"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}
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.
{"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}
Pub Date : 2019-10-01Epub Date: 2019-07-18DOI: 10.1037/fam0000549
Elizabeth A Stormshak, David S DeGarmo, Krista M Chronister, Allison S Caruthers, Jenna Stapleton, Corrina A Falkenstein
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).
青春期和青年期使用药物和其他危险行为的急剧增加威胁着亲子关系的质量，而亲子关系是积极适应和幸福的关键环境。然而，关于青少年和年轻成人使用药物对亲子关系的影响的研究还很缺乏。本研究的目的是纵向考察青少年和年轻成人使用酒精和大麻的类别之间的关联，以及使用酒精和大麻对父母与年轻成人关系的动态和质量的影响。我们分析了从社会经济和种族多元化的城市社区样本中收集到的纵向数据，这些样本包括 593 名父母和他们的孩子，时间跨度长达 6 年之久，目的是确定青少年使用酒精和大麻的潜在增长类别，并根据潜在类别检验年轻成人使用酒精和大麻的情况以及父母与年轻成人关系质量的差异。结构方程建模结果显示：(a) 中学时期酗酒和吸食大麻可预测成年后酗酒和吸食大麻的情况；(b) 尤其是高风险酗酒和吸食大麻与较差的亲子关系有关；(c) 成年后开始吸食大麻也与较差的亲子关系有关；(d) 在所有酗酒风险等级中，少数民族青少年的亲子关系质量较低。研究结果表明，青少年时期酗酒和吸食大麻的增加，以及成年后开始吸食大麻，对父母与青少年关系的质量产生了独特的不利影响。本文讨论了未来研究以及针对青少年的预防和干预措施开发的意义。(PsycINFO Database Record (c) 2019 APA, all rights reserved）。
{"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}
Pub Date : 2019-08-01DOI: 10.1216/jie-2019-31-4-495
S. Gal
{"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}
Pub Date : 2019-08-01DOI: 10.1216/jie-2019-31-4-465
B. Feng, Xinguang Yang, Keqin Su
{"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}
Pub Date : 2019-08-01DOI: 10.1216/jie-2019-31-4-571
M. Pinto, Felipe Poblete, Daniel Sepúlveda
{"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}
Pub Date : 2019-06-01DOI: 10.1216/jie-2019-31-3-329
Yong Huang, Zhenhai Liu
{"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}
Pub Date : 2019-06-01DOI: 10.1216/JIE-2019-31-3-379
P. Radu, Kelseys Wells
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.
{"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}
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