Riman-Gilbert boundary problems for some special areas and singular integral equations with a basket core

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"Riemann-Gilbert boundary problems for some special areas and singular integral equations with the Cauchy nucleus" , Created by a team of authors, It is an in-depth and comprehensive study in the field of mathematical analysis ,. It will certainly attract the attention of scientists. Students and Professionals , Differential Equations , Theory of Functions and Mathematical Physics . This monograph is a real storehouse of knowledge , revealing complex aspects of boundary problems for elliptic equations, and also features of solution of singular integral equations with a core of Cauchy, which makes it an indispensable tool for those, who are looking for new approaches and methods in mathematical modeling and theory of analytical functions. The main theme of the book is the study of Riemann-Gilbert boundary problems, which are fundamental in the theory of elliptic differential equations. Particular attention is paid to solving these problems in special areas where traditional methods face difficulties due to the peculiarities of borders or the presence of singularities. The authors investigate the conditions of existence and uniqueness of solutions, as well as develop new approaches to analytical and numerical obtaining them. The focus is on issues related to the analytical properties of solutions, their regularity and behavior near singular points, which makes the book a valuable resource for those who work with applied problems in physics, engineering and mathematical modeling. A special place in the book is occupied by the analysis of singular integral equations with the core of Cauchy, a classical but at the same time very complex field of mathematical analysis. The authors analyze in detail the methods of their solution, reveal the features of the behavior of solutions in the vicinity of singular points and offer new techniques that allow finding stable and accurate solutions. These studies are relevant for specialists in mathematical physics, potential theory and numerical methods, as they allow modeling and analyzing complex processes that occur in real life. The book "Riemann-Gilbert boundary problems for some special areas and singular integral equations with the Cauchy nucleus" is written in a scientific style. full of theoretical calculations and practical examples , which makes it useful for both academic research, As well as for practical application. The style of the authors is distinguished by clarity and accuracy, which helps the reader to easily navigate complex mathematical concepts. This work is a continuation of the traditions of the classical mathematical school, supplemented by modern methods and fresh ideas, which makes it relevant and in demand in scientific circles. For senior students, graduate students and faculty specializing in mathematical analysis, differential equations and mathematical physics, this book will be a valuable teaching tool and a source of new knowledge. It will also interest researchers looking for solutions to complex boundary problems and methods of working with singular integrals, as well as engineers and physicists who apply mathematical models in their practical developments. If you are looking for a book which combines theoretical depth and practical applicability, contains modern methods of solving complex problems and opens up new horizons in the field of analysis - "Riemann-Gilbert boundary problems for some special areas and singular integral equations with the Cauchy nucleus" will become an indispensable source of knowledge for you. This work is an excellent addition to the library of everyone who seeks to understand and master the subtleties of elliptic equations and integral equations with singularities, expanding the boundaries of their scientific and professional capabilities.
LF/132406521/R
Data sheet
- Name of the Author
- Collective of authors
- Language
- Russian