Logo

Nonlinear Analysis and Differential Equations

Small book cover: Nonlinear Analysis and Differential Equations

Nonlinear Analysis and Differential Equations
by

Publisher: University of Utah
Number of pages: 158

Description:
The intent of this set of notes is to present several of the important existence theorems for solutions of various types of problems associated with differential equations and provide qualitative and quantitative descriptions of solutions. At the same time, we develop methods of analysis which may be applied to carry out the above and which have applications in many other areas of mathematics, as well.

Home page url

Download or read it online for free here:
Download link
(790KB, PDF)

Similar books

Book cover: A Second Course in Elementary Ordinary Differential EquationsA Second Course in Elementary Ordinary Differential Equations
by - Arkansas Tech University
Calculus of Matrix-Valued Functions of a Real Variable; nth Order Linear Differential Equations; General Solution of nth Order Linear Homogeneous Equations; Fundamental Sets and Linear Independence; Higher Order Homogeneous Linear Equations; etc.
(8558 views)
Book cover: Ordinary Differential Equations: A Systems ApproachOrdinary Differential Equations: A Systems Approach
by
This is a revision of a text that was on the market for a while. It focuses on systems of differential equations. Some popular topics, which were present in the original text, have been left out to concentrate on the initial value problem.
(6237 views)
Book cover: Elementary Differential EquationsElementary Differential Equations
by - Brooks Cole
This text has been written in clear and accurate language that students can read and comprehend. The author has minimized the number of explicitly state theorems and definitions, in favor of dealing with concepts in a more conversational manner.
(3666 views)
Book cover: Linearization via the Lie DerivativeLinearization via the Lie Derivative
by - American Mathematical Society
The proof of the Grobman-Hartman linearization theorem for a flow at a hyperbolic rest point proceeds by establishing the analogous result for hyperbolic fixed points of local diffeomorphisms. We present a proof that avoids the discrete case.
(5237 views)