{"title":"Statistical applications of order $alpha $-$beta $ weighted information energy","authors":"M. Pardo, J. A. Pardo","doi":"10.21136/am.1995.134296","DOIUrl":"https://doi.org/10.21136/am.1995.134296","url":null,"abstract":"","PeriodicalId":55505,"journal":{"name":"Applications of Mathematics","volume":"25 1","pages":"305-317"},"PeriodicalIF":0.7,"publicationDate":"1995-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73197720","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":"Shape optimization of elastic axisymmetric plate on an elastic foundation","authors":"Petr Salač","doi":"10.21136/am.1995.134297","DOIUrl":"https://doi.org/10.21136/am.1995.134297","url":null,"abstract":"","PeriodicalId":55505,"journal":{"name":"Applications of Mathematics","volume":"41 1","pages":"319-338"},"PeriodicalIF":0.7,"publicationDate":"1995-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77643340","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}
Summary. A general class of numerical methods for solving initia l va l ue prob l ems for neutra l functiona l -differentia l -a l gebraic systems is considered. Necessary and sufficient con ditions under which these methods are consistent with the prob l em are estab l ished. The order of consistency is discussed. A convergence theorem for a genera l c l ass of methods is proved.
{"title":"Convergence of numerical methods for systems of neutral functional-differential-algebraic equations","authors":"T. Jankowski, M. Kwapisz","doi":"10.21136/am.1995.134307","DOIUrl":"https://doi.org/10.21136/am.1995.134307","url":null,"abstract":"Summary. A general class of numerical methods for solving initia l va l ue prob l ems for neutra l functiona l -differentia l -a l gebraic systems is considered. Necessary and sufficient con ditions under which these methods are consistent with the prob l em are estab l ished. The order of consistency is discussed. A convergence theorem for a genera l c l ass of methods is proved.","PeriodicalId":55505,"journal":{"name":"Applications of Mathematics","volume":"19 1","pages":"457-472"},"PeriodicalIF":0.7,"publicationDate":"1995-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82254628","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}
Summary. The fo l lowing three г e s u l t s for the g ene гal multivariate Ga u ss- M a r k o ff model with a s in g u la r covaгiance ma tri x aг e given or indicated. 1° deteгminant гa tio s as products o f independent chi-square distributions, 2° moments for the deteгminants and 3° the method o f obtaining appгoximate densities o f the deteгminants. s in g u la r covariance ma t г i x, set o f l ine aг parametric functions, moment o f determinant ratio, approximate simultaneous confidence interval
总结。本文给出或指出了以下3个模型的3个模型:1、0、0、0、0、0、0、0、0、0、0、0、0、0、0、0、0、0、0、0、0、0、0、0、0、0、0、0、0、0、0、0。1°deteгminant гa是独立卡方分布的乘积，2°弯矩是deteгminants, 3°是获得deteгminants密度的方法。s g u r协方差马tг我x,设置o f线г参数功能,时刻o f行列式比率,同时近似置信区间
{"title":"Densities of determinant ratios, their moments and some simultaneous confidence intervals in the multivariate Gauss-Markoff model","authors":"W. Oktaba","doi":"10.21136/AM.1995.134277","DOIUrl":"https://doi.org/10.21136/AM.1995.134277","url":null,"abstract":"Summary. The fo l lowing three г e s u l t s for the g ene гal multivariate Ga u ss- M a r k o ff model with a s in g u la r covaгiance ma tri x aг e given or indicated. 1° deteгminant гa tio s as products o f independent chi-square distributions, 2° moments for the deteгminants and 3° the method o f obtaining appгoximate densities o f the deteгminants. s in g u la r covariance ma t г i x, set o f l ine aг parametric functions, moment o f determinant ratio, approximate simultaneous confidence interval","PeriodicalId":55505,"journal":{"name":"Applications of Mathematics","volume":"33 1","pages":"47-54"},"PeriodicalIF":0.7,"publicationDate":"1995-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91146107","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}
Summary. A system of ordinary differential equations modelling an electric circuit with a thermistor is considered. Qualitative properties of solution are studied, in particular, the existence and nonexistence of time-periodic solutions (the Hopf bifurcation).
{"title":"A simple model of thermoelectric oscillations","authors":"G. Cimatti, E. Feireisl","doi":"10.21136/AM.1995.134285","DOIUrl":"https://doi.org/10.21136/AM.1995.134285","url":null,"abstract":"Summary. A system of ordinary differential equations modelling an electric circuit with a thermistor is considered. Qualitative properties of solution are studied, in particular, the existence and nonexistence of time-periodic solutions (the Hopf bifurcation).","PeriodicalId":55505,"journal":{"name":"Applications of Mathematics","volume":"1 1","pages":"147-158"},"PeriodicalIF":0.7,"publicationDate":"1995-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80493523","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}
Summary. A nonlinear differential system for describing an air-water system in ground water hydrology is given. The system is written in a fractional fl o w formulation, i.e., in terms o f a saturation and a gl oba l pressure. A continuous-time version o f the finite element method is developed and analyzed for the approximation o f the saturation and pressure. The saturation equation i s treated by a Galerkin finite element method, w h il e the pressure equation is treated by a mixed fi n i te element method. The analysis is carried out first for the case where the capillary diffusion coefficient is assumed to be uniformly positive, and is then extended to a degenerate case where the diffusion coefficient can be zero. It is shown that error estimates o f optimal order in the L 2 -norm and almost optimal order in the L °°- nor m can be obtained i n the nondegenerate case. In the degenerate case w e consider a regularization o f the saturation equation by perturbing the diffusion coefficient. The norm o f error estimates depends on the severity o f the degeneracy in diffusivity, with almost optimal order convergence for non-severe degeneracy. Existence and uniqueness o f the approximate solution is also proven.
{"title":"Continuous-time finite element analysis of multiphase flow in groundwater hydrology","authors":"Zhangxin Chen, M. Espedal, R. Ewing","doi":"10.21136/AM.1995.134291","DOIUrl":"https://doi.org/10.21136/AM.1995.134291","url":null,"abstract":"Summary. A nonlinear differential system for describing an air-water system in ground water hydrology is given. The system is written in a fractional fl o w formulation, i.e., in terms o f a saturation and a gl oba l pressure. A continuous-time version o f the finite element method is developed and analyzed for the approximation o f the saturation and pressure. The saturation equation i s treated by a Galerkin finite element method, w h il e the pressure equation is treated by a mixed fi n i te element method. The analysis is carried out first for the case where the capillary diffusion coefficient is assumed to be uniformly positive, and is then extended to a degenerate case where the diffusion coefficient can be zero. It is shown that error estimates o f optimal order in the L 2 -norm and almost optimal order in the L °°- nor m can be obtained i n the nondegenerate case. In the degenerate case w e consider a regularization o f the saturation equation by perturbing the diffusion coefficient. The norm o f error estimates depends on the severity o f the degeneracy in diffusivity, with almost optimal order convergence for non-severe degeneracy. Existence and uniqueness o f the approximate solution is also proven.","PeriodicalId":55505,"journal":{"name":"Applications of Mathematics","volume":"25 1","pages":"203-226"},"PeriodicalIF":0.7,"publicationDate":"1994-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87262088","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":"Sequential estimation of survival functions with a neutral to the right process prior","authors":"D. Morales, L. Pardo, V. Quesada","doi":"10.21136/am.1994.134247","DOIUrl":"https://doi.org/10.21136/am.1994.134247","url":null,"abstract":"","PeriodicalId":55505,"journal":{"name":"Applications of Mathematics","volume":"54 1","pages":"97-109"},"PeriodicalIF":0.7,"publicationDate":"1994-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77243394","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":"On Kalmbach measurability","authors":"A. D'Andrea, P. Lucia, J. Wright","doi":"10.21136/am.1994.134270","DOIUrl":"https://doi.org/10.21136/am.1994.134270","url":null,"abstract":"","PeriodicalId":55505,"journal":{"name":"Applications of Mathematics","volume":"28 1","pages":"445-447"},"PeriodicalIF":0.7,"publicationDate":"1994-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81881750","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}
We i n vestigate t h e n o n auto n omous periodic system of ODE's of t h e fo r m x = v(x) + r p (t)(w(x) — v(x))> w h e r e r p (t) is a 2p-pe r iodic functi o n defi n ed by r P (t) = 0 fo r t 6 (0, p ), r p (t) = 1 fo r t G (p, 2 p ) a n d t h e vecto r fields v a n d w a r e re l ated by a n i n vo l utive diffeomo r p h ism.
{"title":"On systems governed by two alternating vector fields","authors":"A. Klíc, J. Řeháček","doi":"10.21136/am.1994.134243","DOIUrl":"https://doi.org/10.21136/am.1994.134243","url":null,"abstract":"We i n vestigate t h e n o n auto n omous periodic system of ODE's of t h e fo r m x = v(x) + r p (t)(w(x) — v(x))> w h e r e r p (t) is a 2p-pe r iodic functi o n defi n ed by r P (t) = 0 fo r t 6 (0, p ), r p (t) = 1 fo r t G (p, 2 p ) a n d t h e vecto r fields v a n d w a r e re l ated by a n i n vo l utive diffeomo r p h ism.","PeriodicalId":55505,"journal":{"name":"Applications of Mathematics","volume":"34 1","pages":"57-64"},"PeriodicalIF":0.7,"publicationDate":"1994-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86365719","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}
Summary. A r ecu rr ence r e l ation fo r the computation of the L p -no r ms of an He r mitian F r edho l m integ r a l operato r is de r ived and an expression giving approximate l y the number of eigenva l ues which in abso l ute va l ue a r e equa l to the spect r a l r adius is dete r mined. Using the L p -no r ms fo r the app r oximation of the spectra l radius of this ope r ato r an a p r iori and an a p o ste r io r i bound fo r the error a r e obtained. Some prope r ties of the a poste r iori bound a r e discussed.
总结。本文给出了一个近似的表达式，它给出了一个近似的特征值的个数，这个特征值的个数几乎等于特征值的个数，这个特征值的个数等于特征值的个数。利用L - p - r - ms对该光谱的L -半径进行了近似，得到了该光谱的L -半径和p - r -半径，得到了该光谱的L -半径和r - p - r -半径。本文讨论了一种有界的状态方程的一些性质。
{"title":"On limits of $L_p$-norms of an integral operator","authors":"Pavel Stavinoha","doi":"10.21136/am.1994.134259","DOIUrl":"https://doi.org/10.21136/am.1994.134259","url":null,"abstract":"Summary. A r ecu rr ence r e l ation fo r the computation of the L p -no r ms of an He r mitian F r edho l m integ r a l operato r is de r ived and an expression giving approximate l y the number of eigenva l ues which in abso l ute va l ue a r e equa l to the spect r a l r adius is dete r mined. Using the L p -no r ms fo r the app r oximation of the spectra l radius of this ope r ato r an a p r iori and an a p o ste r io r i bound fo r the error a r e obtained. Some prope r ties of the a poste r iori bound a r e discussed.","PeriodicalId":55505,"journal":{"name":"Applications of Mathematics","volume":"195 1","pages":"299-307"},"PeriodicalIF":0.7,"publicationDate":"1994-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75885055","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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