Multidimensional Integral Equations And Inequalities
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Multidimensional Integral Equations And Inequalities
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Author : B.G. Pachpatte
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-07-26
Multidimensional Integral Equations And Inequalities written by B.G. Pachpatte and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-07-26 with Mathematics categories.
Since from more than a century, the study of various types of integral equations and inequalities has been focus of great attention by many researchers, interested both in theory and its applications. In particular, there exists a very rich literature related to the integral equations and inequalities and their applications. The present monograph is an attempt to organize recent progress related to the Multidimensional integral equations and inequalities, which we hope will widen the scope of their new applications. The field to be covered is extremely wide and it is nearly impossible to treat all of them here. The material included in the monograph is recent and hard to find in other books. It is accessible to any reader with reasonable background in real analysis and acquaintance with its related areas. All results are presented in an elementary way and the book could also serve as a textbook for an advanced graduate course. The book deserves a warm welcome to those who wish to learn the subject and it will also be most valuable as a source of reference in the field. It will be an invaluable reading for mathematicians, physicists and engineers and also for graduate students, scientists and scholars wishing to keep abreast of this important area of research.
Integral And Discrete Inequalities And Their Applications
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Author : Yuming Qin
language : en
Publisher: Birkhäuser
Release Date : 2016-10-08
Integral And Discrete Inequalities And Their Applications written by Yuming Qin and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-10-08 with Mathematics categories.
This book focuses on one- and multi-dimensional linear integral and discrete Gronwall-Bellman type inequalities. It provides a useful collection and systematic presentation of known and new results, as well as many applications to differential (ODE and PDE), difference, and integral equations. With this work the author fills a gap in the literature on inequalities, offering an ideal source for researchers in these topics. The present volume is part 1 of the author’s two-volume work on inequalities. Integral and discrete inequalities are a very important tool in classical analysis and play a crucial role in establishing the well-posedness of the related equations, i.e., differential, difference and integral equations.
Multidimensional Weakly Singular Integral Equations
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Author : Gennadi Vainikko
language : en
Publisher: Springer
Release Date : 2006-11-15
Multidimensional Weakly Singular Integral Equations written by Gennadi Vainikko and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.
The final aim of the book is to construct effective discretization methods to solve multidimensional weakly singular integral equations of the second kind on a region of Rn e.g. equations arising in the radiation transfer theory. To this end, the smoothness of the solution is examined proposing sharp estimates of the growth of the derivatives of the solution near the boundary G. The superconvergence effect of collocation methods at the collocation points is established. This is a book for graduate students and researchers in the fields of analysis, integral equations, mathematical physics and numerical methods. No special knowledge beyond standard undergraduate courses is assumed.
Integral And Discrete Inequalities And Their Applications
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Author : Yuming Qin
language : en
Publisher: Birkhäuser
Release Date : 2016-10-06
Integral And Discrete Inequalities And Their Applications written by Yuming Qin and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-10-06 with Mathematics categories.
This book concentrates on one- and multi-dimensional nonlinear integral and discrete Gronwall-Bellman type inequalities. It complements the author’s book on linear inequalities and serves as an essential tool for researchers interested in differential (ODE and PDE), difference, and integral equations. The present volume is part 2 of the author’s two-volume work on inequalities. Integral and discrete inequalities are a very important tool in classical analysis and play a crucial role in establishing the well-posedness of the related equations, i.e., differential, difference and integral equations.
Multidimensional Weakly Singular Integral Equations
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Author : Gennadi Vainikko
language : en
Publisher: Springer
Release Date : 1993-07-29
Multidimensional Weakly Singular Integral Equations written by Gennadi Vainikko and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-07-29 with Mathematics categories.
The final aim of the book is to construct effective discretization methods to solve multidimensional weakly singular integral equations of the second kind on a region of Rn e.g. equations arising in the radiation transfer theory. To this end, the smoothness of the solution is examined proposing sharp estimates of the growth of the derivatives of the solution near the boundary G. The superconvergence effect of collocation methods at the collocation points is established. This is a book for graduate students and researchers in the fields of analysis, integral equations, mathematical physics and numerical methods. No special knowledge beyond standard undergraduate courses is assumed.
Inequalities For Differential And Integral Equations
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Author :
language : en
Publisher: Elsevier
Release Date : 1997-11-12
Inequalities For Differential And Integral Equations written by and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-11-12 with Mathematics categories.
Inequalities for Differential and Integral Equations has long been needed; it contains material which is hard to find in other books. Written by a major contributor to the field, this comprehensive resource contains many inequalities which have only recently appeared in the literature and which can be used as powerful tools in the development of applications in the theory of new classes of differential and integral equations. For researchers working in this area, it will be a valuable source of reference and inspiration. It could also be used as the text for an advanced graduate course. Covers a variety of linear and nonlinear inequalities which find widespread applications in the theory of various classes of differential and integral equations Contains many inequalities which have only recently appeared in literature and cannot yet be found in other books Provides a valuable reference to engineers and graduate students
Differential And Integral Inequalities Theory And Applications
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Author : V. Lakshmikantham
language : en
Publisher: Academic Press
Release Date : 1969
Differential And Integral Inequalities Theory And Applications written by V. Lakshmikantham and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with Computers categories.
This volume constitutes the first part of a monograph on theory and applications of differential and integral inequalities. 'The entire work, as a whole, is intended to be a research monograph, a guide to the literature, and a textbook for advanced courses. The unifying theme of this treatment is a systematic development of the theory and applications of differential inequalities as well as Volterra integral inequalities. The main tools for applications are the norm and the Lyapunov functions. Familiarity with real and complex analysis, elements of general topology and functional analysis, and differential and integral equations is assumed.
Integral Inequalities And Applications
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Author : D.D. Bainov
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-18
Integral Inequalities And Applications written by D.D. Bainov and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-18 with Mathematics categories.
This volume is devoted to integral inequalities of the Gronwall-Bellman-Bihari type. Following a systematic exposition of linear and nonlinear inequalities, attention is paid to analogues including integro-differential inequalities, functional differential inequalities, and discrete and abstract analogues. Applications to the investigation of the properties of solutions of various classes of equations such as uniqueness, stability, dichotomy, asymptotic equivalence and behaviour is also discussed. The book comprises three chapters. Chapter I and II consider classical linear and nonlinear integral inequalities. Chapter III is devoted to various classes of integral inequalities of Gronwall type, and their analogues, which find applications in the theory of integro-differential equations, partial differential equations, differential equations with deviating argument, impube differential equations, etc. Each chapter concludes with a section illustrating the manner of application. The book also contains an extensive bibliography. For researchers whose work involves the theory and application of integral inequalities in mathematics, engineering and physics.
Multidimensional Singular Integrals And Integral Equations
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Author : Solomon Grigorʹevich Mikhlin
language : en
Publisher: Pergamon
Release Date : 1965
Multidimensional Singular Integrals And Integral Equations written by Solomon Grigorʹevich Mikhlin and has been published by Pergamon this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965 with Mathematics categories.
Multidimensional Singular Integrals and Integral Equations presents the results of the theory of multidimensional singular integrals and of equations containing such integrals. Emphasis is on singular integrals taken over Euclidean space or in the closed manifold of Liapounov and equations containing such integrals.
Multidimensional Weakly Singular Integral Equations
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Author : Gennadi Vainikko
language : en
Publisher:
Release Date : 2014-01-15
Multidimensional Weakly Singular Integral Equations written by Gennadi Vainikko and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.