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Basic Monotonicity Methods with Some Applications : Compact Textbooks in Mathematics - Marek Galewski

Basic Monotonicity Methods with Some Applications

By: Marek Galewski

Paperback | 2 September 2021

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This textbook introduces some basic tools from the theory of monotone operators together with some of their applications. Examples that work  for ordinary differential equations are provided. The illustrating material is kept relatively simple, while at the same time offering inspiring applications to the reader.



The material will appeal to graduate students in mathematics who want to learn some basics in the theory of monotone operators. Furthermore, it offers a smooth transition to studying more advanced topics pertaining to more refined applications by shifting to pseudomonotone operators, and next, to multivalued monotone operators.


Industry Reviews

"This monograph is an excellent addition to the literature on nonlinear analysis, especially the theory of monotone operators. ... The presentation is brief, in large parts, but quite informative. This is a very readable text and is mostly self-contained. This should serve as a text for anyone who wants to know about the most important aspects of monotone operators, especially a researcher who wants to pursue the area of monotone operator theory." (K. C. Sivakumar, zbMATH 1486.47001, 2022)

"I enjoyed reading this book and can confidently recommend it to any instructor teaching a course on monotonicity methods." (Casey Timothy Cremins, Mathematical Reviews, June, 2022)

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