Through the presentation of a suitable, recently developed approach, this text investigates a variety of qualitative aspects of order-preserving random dynamical systems, and gives the background for further development of the theory.
Through the presentation of a suitable, recently developed approach, this text investigates a variety of qualitative aspects of order-preserving rando...
In the study of mathematical models that arise in the context of concrete - plications, the following two questions are of fundamental importance: (i) we- posedness of the model, including existence and uniqueness of solutions; and (ii) qualitative properties of solutions. A positive answer to the ?rst question, - ing of prime interest on purely mathematical grounds, also provides an important test of the viability of the model as a description of a given physical phenomenon. An answer or insight to the second question provides a wealth of information about the model, hence about the process...
In the study of mathematical models that arise in the context of concrete - plications, the following two questions are of fundamental importance: (i)...
In the study of mathematical models that arise in the context of concrete - plications, the following two questions are of fundamental importance: (i) we- posedness of the model, including existence and uniqueness of solutions; and (ii) qualitative properties of solutions. A positive answer to the ?rst question, - ing of prime interest on purely mathematical grounds, also provides an important test of the viability of the model as a description of a given physical phenomenon. An answer or insight to the second question provides a wealth of information about the model, hence about the process...
In the study of mathematical models that arise in the context of concrete - plications, the following two questions are of fundamental importance: (i)...
This book is devoted to background material and recently developed mathematical methods in the study of infinite-dimensional dissipative systems. The theory of such systems is motivated by the long-term goal to establish rigorous mathematical models for turbulent and chaotic phenomena. The aim here is to offer general methods and abstract results pertaining to fundamental dynamical systems properties related to dissipative long-time behavior. The book systematically presents, develops and uses the quasi-stability method while substantially extending it by including for consideration new...
This book is devoted to background material and recently developed mathematical methods in the study of infinite-dimensional dissipative systems. T...
