{"title":"Asymptotic Behavior of Generalized Functions","authors":"S. Pilipovic, B. Stankovic, J. Vindas","doi":"10.1142/8266","DOIUrl":"https://doi.org/10.1142/8266","url":null,"abstract":"Asymptotic Behavior of Generalized Functions: S-Asymptotics F'g Quasi-Asymptotics in F' Applications of the Asymptotic Behavior of Generalized Functions: Asymptotic Behavior of Solutions to Partial Differential Equations Asymptotics and Integral Transforms Summability of Fourier Series and Integrals.","PeriodicalId":241216,"journal":{"name":"Series on Analysis Applications and Computation","volume":"466 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2011-10-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121929505","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Nonlinear Waves: An Introduction","authors":"P. Popivanov, A. Slavova","doi":"10.1142/7867","DOIUrl":"https://doi.org/10.1142/7867","url":null,"abstract":"Compact Traveling Waves, Peakons, Cuspons, Solitons, Kinks and Periodic Solutions of Several Third Order Nonlinear PDE, including Camassa-Holm, Korteweg-De Vries, Burger's Equations and Their Modifications Cellular Neural Network Realization Fluxon and Breathon Solutions of the Sin-Gordon Equation and Their Interaction Stability of Periodic Traveling Wave Solutions for Some Classes of KdV Type Equations Interaction of Peakon Type Solutions of the Camassa-Holm Equation Classical and Continuous Weak Solutions of the Cauchy Problem for the Hunter-Saxton Equation, Peakon Type Solutions Weak Continuous Solutions for the Scalar Conservation Law and Existence Of δ-Shocks Logarithmic Singularities and Microlocal Approach in Studying the Propagation of Nonlinear Waves.","PeriodicalId":241216,"journal":{"name":"Series on Analysis Applications and Computation","volume":"18 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2010-09-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131040987","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Boundary Values and Convolution in Ultradistribution Spaces","authors":"R. Carmichael, A. Kaminski, S. Pilipovic","doi":"10.1142/6484","DOIUrl":"https://doi.org/10.1142/6484","url":null,"abstract":"Cones in n and Kernels Ultradifferentiable Functions and Ultradistributions Boundedness Cauchy and Poisson Integrals Boundary Values of Analytic Functions Convolution of Ultradistributions Integral Transforms of Tempered Ultradistributions.","PeriodicalId":241216,"journal":{"name":"Series on Analysis Applications and Computation","volume":"15 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2007-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128028658","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}