Multidimensional Integral Equations And Inequalities PDF Download
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| Author | : B.G. Pachpatte |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 248 |
| Release | : 2011-07-26 |
| Genre | : Mathematics |
| ISBN | : 9491216171 |
Download Multidimensional Integral Equations and Inequalities Book in PDF, ePub and Kindle
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.
| Author | : Gennadi Vainikko |
| Publisher | : Springer |
| Total Pages | : 169 |
| Release | : 2006-11-15 |
| Genre | : Mathematics |
| ISBN | : 354047773X |
Download Multidimensional Weakly Singular Integral Equations Book in PDF, ePub and Kindle
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.
| Author | : Yuming Qin |
| Publisher | : Birkhäuser |
| Total Pages | : 1083 |
| Release | : 2016-10-06 |
| Genre | : Mathematics |
| ISBN | : 3319333046 |
Download Integral and Discrete Inequalities and Their Applications Book in PDF, ePub and Kindle
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.
| Author | : Yuming Qin |
| Publisher | : Birkhäuser |
| Total Pages | : 1000 |
| Release | : 2016-10-08 |
| Genre | : Mathematics |
| ISBN | : 3319333011 |
Download Integral and Discrete Inequalities and Their Applications Book in PDF, ePub and Kindle
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.
| Author | : Paul R. Beesack |
| Publisher | : |
| Total Pages | : 59 |
| Release | : 1984 |
| Genre | : Volterra equations |
| ISBN | : |
Download Systems of Multidimensional Volterra Integral Equations and Inequalities Book in PDF, ePub and Kindle
| Author | : D.D. Bainov |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 254 |
| Release | : 2013-04-18 |
| Genre | : Mathematics |
| ISBN | : 9401580340 |
Download Integral Inequalities and Applications Book in PDF, ePub and Kindle
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.
| Author | : S. G. Mikhlin |
| Publisher | : Elsevier |
| Total Pages | : 273 |
| Release | : 2014-07-10 |
| Genre | : Mathematics |
| ISBN | : 1483164497 |
Download Multidimensional Singular Integrals and Integral Equations Book in PDF, ePub and Kindle
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. This volume is comprised of eight chapters and begins with an overview of some theorems on linear equations in Banach spaces, followed by a discussion on the simplest properties of multidimensional singular integrals. Subsequent chapters deal with compounding of singular integrals; properties of the symbol, with particular reference to Fourier transform of a kernel and the symbol of a singular operator; singular integrals in Lp spaces; and singular integral equations. The differentiation of integrals with a weak singularity is also considered, along with the rule for the multiplication of the symbols in the general case. The final chapter describes several applications of multidimensional singular integral equations to boundary problems in mathematical physics. This book will be of interest to mathematicians and students of mathematics.
| Author | : Svetlin G. Georgiev |
| Publisher | : Walter de Gruyter GmbH & Co KG |
| Total Pages | : 186 |
| Release | : 2020-08-24 |
| Genre | : Mathematics |
| ISBN | : 3110705664 |
Download Integral Inequalities on Time Scales Book in PDF, ePub and Kindle
This book is devoted to recent developments of linear and nonlinear integral inequalities on time scales. The book is intended for the use in the field of dynamic calculus on time scales, dynamic equation and integral equations on time scales. It is also suitable for graduate courses in the above fields. The book is designed for those who have mathematical background on time scales calculus.
| Author | : Dorin Andrica |
| Publisher | : Springer Nature |
| Total Pages | : 848 |
| Release | : 2019-11-14 |
| Genre | : Mathematics |
| ISBN | : 3030274071 |
Download Differential and Integral Inequalities Book in PDF, ePub and Kindle
Theories, methods and problems in approximation theory and analytic inequalities with a focus on differential and integral inequalities are analyzed in this book. Fundamental and recent developments are presented on the inequalities of Abel, Agarwal, Beckenbach, Bessel, Cauchy–Hadamard, Chebychev, Markov, Euler’s constant, Grothendieck, Hilbert, Hardy, Carleman, Landau–Kolmogorov, Carlson, Bernstein–Mordell, Gronwall, Wirtinger, as well as inequalities of functions with their integrals and derivatives. Each inequality is discussed with proven results, examples and various applications. Graduate students and advanced research scientists in mathematical analysis will find this reference essential to their understanding of differential and integral inequalities. Engineers, economists, and physicists will find the highly applicable inequalities practical and useful to their research.
| Author | : B. G. Pachpatte |
| Publisher | : Elsevier |
| Total Pages | : 320 |
| Release | : 2006-09-14 |
| Genre | : Mathematics |
| ISBN | : 0080464793 |
Download Integral and Finite Difference Inequalities and Applications Book in PDF, ePub and Kindle
The monograph is written with a view to provide basic tools for researchers working in Mathematical Analysis and Applications, concentrating on differential, integral and finite difference equations. It contains many inequalities which have only recently appeared in the literature and which can be used as powerful tools and will be a valuable source for a long time to come. It is self-contained and thus should be useful for those who are interested in learning or applying the inequalities with explicit estimates in their studies. Contains a variety of inequalities discovered which find numerous applications in various branches of differential, integral and finite difference equations Valuable reference for someone requiring results about inequalities for use in some applications in various other branches of mathematics Highlights pure and applied mathematics and other areas of science and technology
