Tag: Inclusions

Topological Methods in Differential Equations and Inclusions


Free Download Topological Methods in Differential Equations and Inclusions By Annamaria Canino, Marco Degiovanni (auth.), Andrzej Granas, Marlène Frigon, Gert Sabidussi (eds.)
1995 | 522 Pages | ISBN: 9401041504 | PDF | 18 MB
The papers collected in this volume are contributions to the 33rd session of the Seminaire de Mathematiques Superieures (SMS) on "Topological Methods in Differential Equations and Inclusions". This session of the SMS took place at the Universite de Montreal in July 1994 and was a NATO Advanced Study Institute (ASI). The aim of the ASI was to bring together a considerable group of young researchers from various parts of the world and to present to them coherent surveys of some of the most recent advances in this area of Nonlinear Analysis. During the meeting 89 mathematicians from 20 countries have had the opportunity to get acquainted with various aspects of the subjects treated in the lectures as well as the chance to exchange ideas and learn about new problems arising in the field. The main topics teated in this ASI were the following: Fixed point theory for single- and multi-valued mappings including topological degree and its generalizations, and topological transversality theory; existence and multiplicity results for ordinary differential equations and inclusions; bifurcation and stability problems; ordinary differential equations in Banach spaces; second order differential equations on manifolds; the topological structure of the solution set of differential inclusions; effects of delay perturbations on dynamics of retarded delay differential equations; dynamics of reaction diffusion equations; non smooth critical point theory and applications to boundary value problems for quasilinear elliptic equations.

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Stochastic Differential Inclusions and Applications (2024)


Free Download Michał Kisielewicz, "Stochastic Differential Inclusions and Applications"
English | 2013 | pages: 294 | ISBN: 1461467551, 148998951X | PDF | 1,9 mb
​This book aims to further develop the theory of stochastic functional inclusions and their applications for describing the solutions of the initial and boundary value problems for partial differential inclusions.The self-contained volume is designed to introduce the readerin a systematic fashion,to new methods of the stochastic optimal control theory from the very beginning. The expositioncontains detailed proofs and uses new and original methods to characterize the properties of stochastic functional inclusions that, up to the present time, have only beenpublished recently by the author. The workis divided into seven chapters, with the first two acting as an introduction, containing selected material dealing with point- and set-valued stochastic processes, and the final two devoted to applications and optimal control problems. The book presents recent and pressing issues in stochastic processes, control, differential games, optimization and their application in finance, manufacturing, queueing networks, and climate control. Written by an award-winning author in the field of stochastic differential inclusions and their application to control theory, This book is intended for students andresearchers in mathematics and applications; particularly those studying optimal control theory. It is also highly relevant for students of economics and engineering.The bookcan also be used as a reference on stochastic differential inclusions. Knowledge of select topics in analysis and probability theory are required.

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