Equations of the mixed type, tr
Author : Andreĭ Vasilʹevich Bit︠s︡adze
Publisher :
Page : pages
File Size : 21,37 MB
Release :
Category : Differential equations, Partial
ISBN :
Author : Andreĭ Vasilʹevich Bit︠s︡adze
Publisher :
Page : pages
File Size : 21,37 MB
Release :
Category : Differential equations, Partial
ISBN :
Author : A. V. Bitsadze
Publisher : Elsevier
Page : 177 pages
File Size : 43,36 MB
Release : 2014-05-16
Category : Mathematics
ISBN : 1483164861
Equations of the Mixed Type compiles a series of lectures on certain fundamental questions in the theory of equations of mixed type. This book investigates the series of problems concerning linear partial differential equations of the second order in two variables, and possessing the property that the type of the equation changes either on the boundary of or inside the considered domain. Topics covered include general remarks on linear partial differential equations of mixed type; study of the solutions of second order hyperbolic equations with initial conditions given along the lines of parabolicity; and study of the solutions of second order elliptic equations for a domain, the boundary of which includes a segment of the curve of parabolic degeneracy. The problem of Tricomi and other mixed problems are also deliberated in this text. This publication is a good reference for students and researchers conducting work on the theory of equations of mixed type.
Author : Modest Mikha_lovich Smirnov
Publisher : American Mathematical Soc.
Page : 244 pages
File Size : 40,81 MB
Release : 1978-12-31
Category : Mathematics
ISBN : 9780821886724
Author : Rassias John Michael
Publisher : World Scientific Publishing Company
Page : 152 pages
File Size : 34,94 MB
Release : 1990-08-30
Category : Mathematics
ISBN : 9813103647
This book discusses various parts of the theory of mixed type partial differential equations with boundary conditions such as: Chaplygin's classical dynamical equation of mixed type, the theory of regularity of solutions in the sense of Tricomi, Tricomi's fundamental idea and one-dimensional singular integral equations on non-Carleman type, Gellerstedt's characteristic problem and Frankl's non-characteristic problem, Bitsadze and Lavrentjev's mixed type boundary value problems, quasi-regularity of solutions in the classical sense. Some of the latest results of the author are also presented in this book.
Author : John Michael Rassias
Publisher : World Scientific
Page : 160 pages
File Size : 40,47 MB
Release : 1990
Category : Mathematics
ISBN : 9789810204068
This book discusses various parts of the theory of mixed type partial differential equations with boundary conditions such as: Chaplygin's classical dynamical equation of mixed type, the theory of regularity of solutions in the sense of Tricomi, Tricomi's fundamental idea and one-dimensional singular integral equations on non-Carleman type, Gellerstedt's characteristic problem and Frankl's non-characteristic problem, Bitsadze and Lavrentjev's mixed type boundary value problems, quasi-regularity of solutions in the classical sense. Some of the latest results of the author are also presented in this book.
Author : John Michael Rassias
Publisher :
Page : 320 pages
File Size : 20,53 MB
Release : 1986
Category : Boundary value problems
ISBN :
Author : Modest Mikhaĭlovich Smirnov
Publisher :
Page : pages
File Size : 20,33 MB
Release : 1978
Category : Differential equations, Partial
ISBN : 9781470434632
Author : Eugene Demidenko
Publisher : John Wiley & Sons
Page : 768 pages
File Size : 17,63 MB
Release : 2013-08-05
Category : Mathematics
ISBN : 1118091574
Praise for the First Edition “This book will serve to greatly complement the growing number of texts dealing with mixed models, and I highly recommend including it in one’s personal library.” —Journal of the American Statistical Association Mixed modeling is a crucial area of statistics, enabling the analysis of clustered and longitudinal data. Mixed Models: Theory and Applications with R, Second Edition fills a gap in existing literature between mathematical and applied statistical books by presenting a powerful examination of mixed model theory and application with special attention given to the implementation in R. The new edition provides in-depth mathematical coverage of mixed models’ statistical properties and numerical algorithms, as well as nontraditional applications, such as regrowth curves, shapes, and images. The book features the latest topics in statistics including modeling of complex clustered or longitudinal data, modeling data with multiple sources of variation, modeling biological variety and heterogeneity, Healthy Akaike Information Criterion (HAIC), parameter multidimensionality, and statistics of image processing. Mixed Models: Theory and Applications with R, Second Edition features unique applications of mixed model methodology, as well as: Comprehensive theoretical discussions illustrated by examples and figures Over 300 exercises, end-of-section problems, updated data sets, and R subroutines Problems and extended projects requiring simulations in R intended to reinforce material Summaries of major results and general points of discussion at the end of each chapter Open problems in mixed modeling methodology, which can be used as the basis for research or PhD dissertations Ideal for graduate-level courses in mixed statistical modeling, the book is also an excellent reference for professionals in a range of fields, including cancer research, computer science, and engineering.
Author : Andrei Vasilʹevitch Bitsadze
Publisher :
Page : 160 pages
File Size : 20,98 MB
Release : 1964
Category :
ISBN :
Author : Murray H. Protter
Publisher :
Page : 38 pages
File Size : 38,42 MB
Release : 1959
Category : Differential equations, Elliptic
ISBN :