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This book is devoted to the study of nonlinear evolution and
difference equations of first and second order governed by a
maximal monotone operator. This class of abstract evolution
equations contains not only a class of ordinary differential
equations, but also unify some important partial differential
equations, such as the heat equation, wave equation, Schrodinger
equation, etc. In addition to their applications in ordinary and
partial differential equations, this class of evolution equations
and their discrete version of difference equations have found many
applications in optimization. In recent years, extensive studies
have been conducted in the existence and asymptotic behaviour of
solutions to this class of evolution and difference equations,
including some of the authors works. This book contains a
collection of such works, and its applications. Key selling
features: Discusses in detail the study of non-linear evolution and
difference equations governed by maximal monotone operator
Information is provided in a clear and simple manner, making it
accessible to graduate students and scientists with little or no
background in the subject material Includes a vast collection of
the authors' own work in the field and their applications, as well
as research from other experts in this area of study
This book is devoted to the study of nonlinear evolution and
difference equations of first and second order governed by a
maximal monotone operator. This class of abstract evolution
equations contains not only a class of ordinary differential
equations, but also unify some important partial differential
equations, such as the heat equation, wave equation, Schrodinger
equation, etc. In addition to their applications in ordinary and
partial differential equations, this class of evolution equations
and their discrete version of difference equations have found many
applications in optimization. In recent years, extensive studies
have been conducted in the existence and asymptotic behaviour of
solutions to this class of evolution and difference equations,
including some of the authors works. This book contains a
collection of such works, and its applications. Key selling
features: Discusses in detail the study of non-linear evolution and
difference equations governed by maximal monotone operator
Information is provided in a clear and simple manner, making it
accessible to graduate students and scientists with little or no
background in the subject material Includes a vast collection of
the authors' own work in the field and their applications, as well
as research from other experts in this area of study
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