{"title":"On certain integral operators associated with Hermite and Laguerre polynomials","authors":"M. Pawlak, U. Stadtmüller","doi":"10.4064/AM2334-9-2017","DOIUrl":"https://doi.org/10.4064/AM2334-9-2017","url":null,"abstract":"","PeriodicalId":52313,"journal":{"name":"Applicationes Mathematicae","volume":"128 1","pages":"71-90"},"PeriodicalIF":0.0,"publicationDate":"2018-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81820152","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":"Expanding the applicability of a fifth-order convergent method in a Banach space under weak conditions","authors":"I. Argyros, R. Behl, S. Motsa","doi":"10.4064/AM2303-11-2016","DOIUrl":"https://doi.org/10.4064/AM2303-11-2016","url":null,"abstract":"","PeriodicalId":52313,"journal":{"name":"Applicationes Mathematicae","volume":"51 1","pages":"91-101"},"PeriodicalIF":0.0,"publicationDate":"2018-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85455410","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":"Partial hedging of American contingent claims in a finite discrete time model","authors":"M. Kociński","doi":"10.4064/AM2379-11-2018","DOIUrl":"https://doi.org/10.4064/AM2379-11-2018","url":null,"abstract":"","PeriodicalId":52313,"journal":{"name":"Applicationes Mathematicae","volume":"50 1","pages":"161-180"},"PeriodicalIF":0.0,"publicationDate":"2018-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80704715","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":"Semilocal convergence analysis of a fifth-order method using recurrence relations in Banach space under weak conditions","authors":"I. Argyros, S. George","doi":"10.4064/AM2318-1-2017","DOIUrl":"https://doi.org/10.4064/AM2318-1-2017","url":null,"abstract":"","PeriodicalId":52313,"journal":{"name":"Applicationes Mathematicae","volume":"40 1","pages":"223-231"},"PeriodicalIF":0.0,"publicationDate":"2018-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91119148","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":"Analysis of an adhesive contact problem for elastic materials","authors":"A. Touzaline","doi":"10.4064/AM2296-7-2016","DOIUrl":"https://doi.org/10.4064/AM2296-7-2016","url":null,"abstract":"The goal of this paper is to study a mathematical model which describes the adhesive frictionless contact between a deformable body and a foundation. The body consists of an elastic material and the process is assumed to be quasistatic. The adhesive contact condition on the normal direction is modeled by a version of normal compliance condition with unilateral constraint. The adhesion is modeled with a surface variable, the bonding field, whose evolution is described by a first-order differential equation. We present a variational formulation of the mechanical problem and prove the existence and uniqueness of a weak solution. Also, we study a penalized contact problem which admits a unique solution. We prove that when the penalization parameter converges to zero, the solution converges to the solution of the original model. The technique of the proof is based on time-dependent variational inequalities, differential equations and the Banach fixed-point theorem.","PeriodicalId":52313,"journal":{"name":"Applicationes Mathematicae","volume":"39 1","pages":"15-31"},"PeriodicalIF":0.0,"publicationDate":"2017-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76710505","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":"Dynamics of a smoking model with smoking death rate","authors":"G. Zaman, Young Han-Kang, I. Jung","doi":"10.4064/AM2249-8-2017","DOIUrl":"https://doi.org/10.4064/AM2249-8-2017","url":null,"abstract":"","PeriodicalId":52313,"journal":{"name":"Applicationes Mathematicae","volume":"138 1","pages":"281-295"},"PeriodicalIF":0.0,"publicationDate":"2017-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76000180","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":"A convergence analysis for extended iterative algorithms with applications to fractional and vector calculus","authors":"G. Anastassiou, I. Argyros","doi":"10.4064/AM2272-4-2017","DOIUrl":"https://doi.org/10.4064/AM2272-4-2017","url":null,"abstract":"","PeriodicalId":52313,"journal":{"name":"Applicationes Mathematicae","volume":"10 1","pages":"197-214"},"PeriodicalIF":0.0,"publicationDate":"2017-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87869731","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}
A. Mikhaylov, Joanna Rencławowicz, W. Zaja̧czkowski
{"title":"On global regular solutions to the mhd equations in a smooth toroidal domain","authors":"A. Mikhaylov, Joanna Rencławowicz, W. Zaja̧czkowski","doi":"10.4064/AM2284-2-2017","DOIUrl":"https://doi.org/10.4064/AM2284-2-2017","url":null,"abstract":"We consider the magnetohydrodynamic equations in a smooth toroid located at a positive distance from its axis of symmetry. Since the domain is axially symmetric, we can prove existence of global regular axially symmetric solutions. Next, stability of these solutions is proved. In this way the existence of global regular solutions close to the axially symmetric solutions for all time is shown.","PeriodicalId":52313,"journal":{"name":"Applicationes Mathematicae","volume":"44 1","pages":"163-183"},"PeriodicalIF":0.0,"publicationDate":"2017-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77264869","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":"Estimation of the ratio of a geometric process","authors":"Alicja Jokiel-Rokita, R. Topolnicki","doi":"10.4064/AM2316-12-2016","DOIUrl":"https://doi.org/10.4064/AM2316-12-2016","url":null,"abstract":"We propose some estimators of the ratio parameter of a geometric process, i.e. of a stochastic process {Xi, i = 1, 2, . . .} for which there exists a positive real number a, called the ratio parameter, such that {Yi = aXi, i = 1, 2, . . .} forms a renewal process. We assume that the cumulative distribution function F of the random variables Yi, i = 1, 2, . . . , is completely unknown. We compare the accuracy of the proposed estimators of the ratio with known estimators given by Lam (1992) and by Chan et al. (2006), and also with the maximum likelihood estimators derived under the assumption that F has a known form.","PeriodicalId":52313,"journal":{"name":"Applicationes Mathematicae","volume":"34 1","pages":"105-121"},"PeriodicalIF":0.0,"publicationDate":"2017-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77077942","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}