Basic Monotonicity Methods with Some Applications

· Springer Nature
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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.


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 application...

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Marek Galewski is a professor at the Institute of Mathematics of the Lodz University of Technology in Lodz, Poland.
Marek Galewski is a professor at the Institute of Mathematics of the Lodz University of Technology in Lodz, Poland.

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