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Author : Pablo Amster
Release :
Genre :
Kind : eBook
Book Rating : 376/5 ( reviews)
Book Synopsis Topological Methods for Delay and Ordinary Differential Equations by : Pablo Amster
Download or read book Topological Methods for Delay and Ordinary Differential Equations written by Pablo Amster. This book was released on . Available in PDF, EPUB and Kindle. Book excerpt:
Author : Pablo Amster
Release : 2024-09-25
Genre : Mathematics
Kind : eBook
Book Rating : 364/5 ( reviews)
Book Synopsis Topological Methods for Delay and Ordinary Differential Equations by : Pablo Amster
Download or read book Topological Methods for Delay and Ordinary Differential Equations written by Pablo Amster. This book was released on 2024-09-25. Available in PDF, EPUB and Kindle. Book excerpt: This volume explores the application of topological techniques in the study of delay and ordinary differential equations with a particular focus on continuum mechanics. Chapters, written by internationally recognized researchers in the field, present results on problems of existence, multiplicity localization, bifurcation of solutions, and more. Topological methods are used throughout, including degree theory, fixed point index theory, and classical and recent fixed point theorems. A wide variety of applications to continuum mechanics are provided as well, such as chemostats, non-Newtonian fluid flow, and flows in phase space. Topological Methods for Delay and Ordinary Differential Equations will be a valuable resource for researchers interested in differential equations, functional analysis, topology, and the applied sciences.
Author : Andrzej Granas
Release : 2012-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 399/5 ( reviews)
Book Synopsis Topological Methods in Differential Equations and Inclusions by : Andrzej Granas
Download or read book Topological Methods in Differential Equations and Inclusions written by Andrzej Granas. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Patrick Fitzpatrick
Release : 2006-11-14
Genre : Mathematics
Kind : eBook
Book Rating : 63X/5 ( reviews)
Book Synopsis Topological Methods for Ordinary Differential Equations by : Patrick Fitzpatrick
Download or read book Topological Methods for Ordinary Differential Equations written by Patrick Fitzpatrick. This book was released on 2006-11-14. Available in PDF, EPUB and Kindle. Book excerpt: The volume contains the texts of four courses, given by the authors at a summer school that sought to present the state of the art in the growing field of topological methods in the theory of o.d.e. (in finite and infinitedimension), and to provide a forum for discussion of the wide variety of mathematical tools which are involved. The topics covered range from the extensions of the Lefschetz fixed point and the fixed point index on ANR's, to the theory of parity of one-parameter families of Fredholm operators, and from the theory of coincidence degree for mappings on Banach spaces to homotopy methods for continuation principles. CONTENTS: P. Fitzpatrick: The parity as an invariant for detecting bifurcation of the zeroes of one parameter families of nonlinear Fredholm maps.- M. Martelli: Continuation principles and boundary value problems.- J. Mawhin: Topological degree and boundary value problems for nonlinear differential equations.- R.D. Nussbaum: The fixed point index and fixed point theorems.
Author : Centro internazionale matematico estivo. Session
Release : 1993
Genre :
Kind : eBook
Book Rating : /5 ( reviews)
Book Synopsis Topological Methods for Ordinary Differential Equations by : Centro internazionale matematico estivo. Session
Download or read book Topological Methods for Ordinary Differential Equations written by Centro internazionale matematico estivo. Session. This book was released on 1993. Available in PDF, EPUB and Kindle. Book excerpt:
