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Methods of Bifurcation Theory (Grundlehren der mathematischen Wissenschaften, 251) by Shui-Nee Chow, Jack K. Hale (auth.) is a nonfiction available to read on EtoBox.

What is Methods of Bifurcation Theory (Grundlehren der mathematischen Wissenschaften, 251) about?

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 differ

Who reads Methods of Bifurcation Theory (Grundlehren der mathematischen Wissenschaften, 251)?

Author

Shui-Nee Chow, Jack K. Hale (auth.)

Publisher

Springer-Verlag New York

Published

1982

Language

EN

ISBN

9781461381617

Category

nonfiction

Subjects

Mathematics, Stem