Coincidence Degree And Nonlinear Differential Equations

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Coincidence Degree And Nonlinear Differential Equations

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Author : R. E. Gaines
language : en
Publisher: Springer
Release Date : 2006-11-15

Coincidence Degree And Nonlinear Differential Equations written by R. E. Gaines and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.

Coincidence Degree And Nonlinear Differential Equations

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Author : R. E. Gaines
language : en
Publisher:
Release Date : 2014-01-15

Coincidence Degree And Nonlinear Differential Equations written by R. E. Gaines and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.

Coincidence Degree And Nonlinear Differential Equations

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Author : Robert E. Gaines
language : en
Publisher:
Release Date : 1964

Coincidence Degree And Nonlinear Differential Equations written by Robert E. Gaines and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1964 with Boundary value problems categories.

Coincidence Degree And Nonlinear Differential Equation

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Author : Robert E. Gaines
language : de
Publisher:
Release Date : 1977

Coincidence Degree And Nonlinear Differential Equation written by Robert E. Gaines and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977 with categories.

Alternative Problems Coincidence Degree And Nonlinear Differential Equations

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Author : R.E Gaines
language : en
Publisher:
Release Date :

Alternative Problems Coincidence Degree And Nonlinear Differential Equations written by R.E Gaines and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.

Handbook Of Differential Equations Ordinary Differential Equations

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Author : A. Canada
language : en
Publisher: Elsevier
Release Date : 2006-08-21

Handbook Of Differential Equations Ordinary Differential Equations written by A. Canada and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-08-21 with Mathematics categories.

This handbook is the third volume in a series of volumes devoted to self contained and up-to-date surveys in the tehory of ordinary differential equations, written by leading researchers in the area. All contributors have made an additional effort to achieve readability for mathematicians and scientists from other related fields so that the chapters have been made accessible to a wide audience. These ideas faithfully reflect the spirit of this multi-volume and hopefully it becomes a very useful tool for reseach, learing and teaching. This volumes consists of seven chapters covering a variety of problems in ordinary differential equations. Both pure mathematical research and real word applications are reflected by the contributions to this volume. - Covers a variety of problems in ordinary differential equations - Pure mathematical and real world applications - Written for mathematicians and scientists of many related fields

Positive Solutions Of Differential Difference And Integral Equations

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Author : R.P. Agarwal
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17

Positive Solutions Of Differential Difference And Integral Equations written by R.P. Agarwal and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-17 with Mathematics categories.

In analysing nonlinear phenomena many mathematical models give rise to problems for which only nonnegative solutions make sense. In the last few years this discipline has grown dramatically. This state-of-the-art volume offers the authors' recent work, reflecting some of the major advances in the field as well as the diversity of the subject. Audience: This volume will be of interest to graduate students and researchers in mathematical analysis and its applications, whose work involves ordinary differential equations, finite differences and integral equations.

Topological Methods For Ordinary Differential Equations

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Author : Patrick Fitzpatrick
language : en
Publisher: Springer
Release Date : 2006-11-14

Topological Methods For Ordinary Differential Equations written by Patrick Fitzpatrick and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.

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.

Existence Theory For Nonlinear Ordinary Differential Equations

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Author : Donal O'Regan
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17

Existence Theory For Nonlinear Ordinary Differential Equations written by Donal O'Regan and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-17 with Mathematics categories.

We begin our applications of fixed point methods with existence of solutions to certain first order initial initial value problems. This problem is relatively easy to treat, illustrates important methods, and in the end will carry us a good deal further than may first meet the eye. Thus, we seek solutions to Y'. = I(t,y) (1. 1 ) { yeO) = r n where I: I X R n ---+ R and I = [0, b]. We shall seek solutions that are de fined either locally or globally on I, according to the assumptions imposed on I. Notice that (1. 1) is a system of first order equations because I takes its values in Rn. In section 3. 2 we will first establish some basic existence theorems which guarantee that a solution to (1. 1) exists for t > 0 and near zero. Familiar examples show that the interval of existence can be arbi trarily short, depending on the initial value r and the nonlinear behaviour of I. As a result we will also examine in section 3. 2 the dependence of the interval of existence on I and r. We mention in passing that, in the results which follow, the interval I can be replaced by any bounded interval and the initial value can be specified at any point in I. The reasoning needed to cover this slightly more general situation requires minor modifications on the arguments given here.

Methods Of Bifurcation Theory

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Author : S.-N. Chow
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Methods Of Bifurcation Theory written by S.-N. Chow and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.

An alternative title for this book would perhaps be Nonlinear Analysis, Bifurcation Theory and Differential Equations. Our primary objective is to discuss those aspects of bifurcation theory which are particularly meaningful to differential equations. To accomplish this objective and to make the book accessible to a wider we have presented in detail much of the relevant background audience, material from nonlinear functional analysis and the qualitative theory of differential equations. Since there is no good reference for some of the mate rial, its inclusion seemed necessary. Two distinct aspects of bifurcation theory are discussed-static and dynamic. Static bifurcation theory is concerned with the changes that occur in the structure of the set of zeros of a function as parameters in the function are varied. If the function is a gradient, then variational techniques play an important role and can be employed effectively even for global problems. If the function is not a gradient or if more detailed information is desired, the general theory is usually local. At the same time, the theory is constructive and valid when several independent parameters appear in the function. In differential equations, the equilibrium solutions are the zeros of the vector field. Therefore, methods in static bifurcation theory are directly applicable.