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A stability result for a class of nonlinear integrodifferential equations with L1 kernels 一类具有L1核的非线性积分微分方程的稳定性结果
IF 0.7 4区 数学
Applications of Mathematics Pub Date : 2008-01-01 DOI: 10.4064/AM35-4-2
P. Cannarsa, D. Sforza
{"title":"A stability result for a class of nonlinear integrodifferential equations with L1 kernels","authors":"P. Cannarsa, D. Sforza","doi":"10.4064/AM35-4-2","DOIUrl":"https://doi.org/10.4064/AM35-4-2","url":null,"abstract":"We study the generation of analytic semigroups in the L-2 topology by second order elliptic operators in divergence form, that may degenerate at the boundary of the space domain. Our results, that hold in two space dimensions, guarantee that the solutions of the corresponding evolution problems support integration by parts. So, this paper provides the basis for deriving Carleman type estimates for degenerate parabolic operators.","PeriodicalId":55505,"journal":{"name":"Applications of Mathematics","volume":"2013 1","pages":"395-430"},"PeriodicalIF":0.7,"publicationDate":"2008-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88068728","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}
引用次数: 13
Efficient robust estimation of time-series regression models 时间序列回归模型的有效鲁棒估计
IF 0.7 4区 数学
Applications of Mathematics Pub Date : 2007-10-01 DOI: 10.2139/ssrn.1068624
P. Čížek
{"title":"Efficient robust estimation of time-series regression models","authors":"P. Čížek","doi":"10.2139/ssrn.1068624","DOIUrl":"https://doi.org/10.2139/ssrn.1068624","url":null,"abstract":"The paper studies a new class of robust regression estimators based on the two-step least weighted squares (2S-LWS) estimator which employs data-adaptive weights determined from the empirical distribution or quantile functions of regression residuals obtained from an initial robust fit. Just like many existing two-step robust methods, the proposed 2S-LWS estimator preserves robust properties of the initial robust estimate. However, contrary to the existing methods, the first-order asymptotic behavior of 2S-LWS is fully independent of the initial estimate under mild conditions. We propose data-adaptive weighting schemes that perform well both in the cross-section and time-series data and prove the asymptotic normality and efficiency of the resulting procedure. A simulation study documents these theoretical properties in finite samples.","PeriodicalId":55505,"journal":{"name":"Applications of Mathematics","volume":"7 1","pages":"267-279"},"PeriodicalIF":0.7,"publicationDate":"2007-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76390261","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}
引用次数: 11
70th birthday of Vratislav Horálek 弗拉季斯拉夫70岁生日Horálek
IF 0.7 4区 数学
Applications of Mathematics Pub Date : 1996-01-01 DOI: 10.21136/am.1996.134323
V. Beneš, I. Saxl
{"title":"70th birthday of Vratislav Horálek","authors":"V. Beneš, I. Saxl","doi":"10.21136/am.1996.134323","DOIUrl":"https://doi.org/10.21136/am.1996.134323","url":null,"abstract":"","PeriodicalId":55505,"journal":{"name":"Applications of Mathematics","volume":"51 1 1","pages":"233-234"},"PeriodicalIF":0.7,"publicationDate":"1996-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90658065","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}
引用次数: 0
Combining the preconditioned conjugate gradient method and a matrix iterative method 将预条件共轭梯度法与矩阵迭代法相结合
IF 0.7 4区 数学
Applications of Mathematics Pub Date : 1996-01-01 DOI: 10.21136/am.1996.134311
J. Zítko
{"title":"Combining the preconditioned conjugate gradient method and a matrix iterative method","authors":"J. Zítko","doi":"10.21136/am.1996.134311","DOIUrl":"https://doi.org/10.21136/am.1996.134311","url":null,"abstract":"Summary. The preconditioned conjugate gradient method for solving the system of linear algebraic equations with a positive definite matrix is investigated . The initial approxima tion for conjugate gradient is constructed as a result o f a matrix iteration method after 77i steps . The behaviour o f the error vector for such a combined method is studied and special numerical tests and conclusions are made.","PeriodicalId":55505,"journal":{"name":"Applications of Mathematics","volume":"33 1","pages":"19-39"},"PeriodicalIF":0.7,"publicationDate":"1996-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73886114","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}
引用次数: 5
Reissner-Mindlin model for plates of variable thickness. Solution by mixed-interpolated elements 变厚板的Reissner-Mindlin模型。混合插值元解法
IF 0.7 4区 数学
Applications of Mathematics Pub Date : 1996-01-01 DOI: 10.21136/am.1996.134313
I. Hlavácek
{"title":"Reissner-Mindlin model for plates of variable thickness. Solution by mixed-interpolated elements","authors":"I. Hlavácek","doi":"10.21136/am.1996.134313","DOIUrl":"https://doi.org/10.21136/am.1996.134313","url":null,"abstract":"Hard clamped and hard simply supported elastic plate is considered. The mixed finite element analysis combined with some interpolation, proposed by Brezzi, Fortin and Stenberg, is extended to the case of variable thickness and anisotropic material.","PeriodicalId":55505,"journal":{"name":"Applications of Mathematics","volume":"123 1","pages":"57-78"},"PeriodicalIF":0.7,"publicationDate":"1996-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83441022","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}
引用次数: 3
Noncoercive hemivariational inequality and its applications in nonconvex unilateral mechanics 非强制半变不等式及其在非凸单侧力学中的应用
IF 0.7 4区 数学
Applications of Mathematics Pub Date : 1996-01-01 DOI: 10.21136/AM.1996.134321
D. Goeleven
{"title":"Noncoercive hemivariational inequality and its applications in nonconvex unilateral mechanics","authors":"D. Goeleven","doi":"10.21136/AM.1996.134321","DOIUrl":"https://doi.org/10.21136/AM.1996.134321","url":null,"abstract":"This paper is devoted to the study of a class of hemivariational inequalities which was introduced by P. D. Panagiotopoulos [31] and later by Z. Naniewicz [22]. These variational formulations are natural nonconvex generalizations [15–17], [22–33] of the well-known variational inequalities. Several existence results are proved in [15]. In this paper, we are concerned with some related results and several applications.","PeriodicalId":55505,"journal":{"name":"Applications of Mathematics","volume":"01 1","pages":"203-229"},"PeriodicalIF":0.7,"publicationDate":"1996-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88295563","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}
引用次数: 3
Finite element variational crimes in the case of semiregular elements 半正则单元情况下的有限元变分犯罪
IF 0.7 4区 数学
Applications of Mathematics Pub Date : 1996-01-01 DOI: 10.21136/am.1996.134332
A. Ženíšek
{"title":"Finite element variational crimes in the case of semiregular elements","authors":"A. Ženíšek","doi":"10.21136/am.1996.134332","DOIUrl":"https://doi.org/10.21136/am.1996.134332","url":null,"abstract":"Till now the finite element analysis for semiregular finite elements has been restricted to interpolation theorems (see [2], [3], [5] and references there). In this paper a complete finite element analysis is presented briefly.","PeriodicalId":55505,"journal":{"name":"Applications of Mathematics","volume":"44 1","pages":"367-398"},"PeriodicalIF":0.7,"publicationDate":"1996-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90126773","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}
引用次数: 7
Dynamic credibility with outliers and missing observations 具有异常值和缺失观测值的动态可信度
IF 0.7 4区 数学
Applications of Mathematics Pub Date : 1996-01-01 DOI: 10.21136/AM.1996.134318
T. Cipra
{"title":"Dynamic credibility with outliers and missing observations","authors":"T. Cipra","doi":"10.21136/AM.1996.134318","DOIUrl":"https://doi.org/10.21136/AM.1996.134318","url":null,"abstract":"In actuarial practice the credibility models must face the problem of outliers and missing observations. If using the $M$-estimation principle from robust statistics in combination with Kalman filtering one obtains the solution of this problem that is acceptable in the numerical framework of the practical actuarial credibility. The credibility models are classified as static and dynamic in this paper and the shrinkage is used for the final ratemaking.","PeriodicalId":55505,"journal":{"name":"Applications of Mathematics","volume":"12 1","pages":"149-159"},"PeriodicalIF":0.7,"publicationDate":"1996-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81783660","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}
引用次数: 5
Linear model with inaccurate variance components 具有不准确方差成分的线性模型
IF 0.7 4区 数学
Applications of Mathematics Pub Date : 1996-01-01 DOI: 10.21136/am.1996.134336
L. Kubácek
{"title":"Linear model with inaccurate variance components","authors":"L. Kubácek","doi":"10.21136/am.1996.134336","DOIUrl":"https://doi.org/10.21136/am.1996.134336","url":null,"abstract":"","PeriodicalId":55505,"journal":{"name":"Applications of Mathematics","volume":"46 1","pages":"433-445"},"PeriodicalIF":0.7,"publicationDate":"1996-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86518118","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}
引用次数: 21
Seasonal time series with missing observations 缺失观测的季节时间序列
IF 0.7 4区 数学
Applications of Mathematics Pub Date : 1996-01-01 DOI: 10.21136/AM.1996.134312
T. Ratinger
{"title":"Seasonal time series with missing observations","authors":"T. Ratinger","doi":"10.21136/AM.1996.134312","DOIUrl":"https://doi.org/10.21136/AM.1996.134312","url":null,"abstract":"","PeriodicalId":55505,"journal":{"name":"Applications of Mathematics","volume":"47 1","pages":"41-55"},"PeriodicalIF":0.7,"publicationDate":"1996-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80603772","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}
引用次数: 6
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