**Nonlinear Analysis and Differential Equations**

by Klaus Schmitt, Russell C. Thompson

**Publisher**: University of Utah 2004**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.

Download or read it online for free here:

**Download link**

(790KB, PDF)

## Similar books

**Linearization via the Lie Derivative**

by

**Carmen Chicone, Richard Swanson**-

**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.

(

**9092**views)

**A Second Course in Elementary Ordinary Differential Equations**

by

**Marcel B. Finan**-

**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.

(

**12237**views)

**The Contraction Mapping Principle and Some Applications**

by

**Robert M. Brooks, Klaus Schmitt**-

**American Mathematical Society**

These notes contain various versions of the contraction mapping principle. Several applications to existence theorems in differential and integral equations and variational inequalities are given. Also discussed are Hilbert's projective metric.

(

**9754**views)

**Examples of differential equations, with rules for their solution**

by

**George A. Osborne**-

**Boston, Ginn & Company**

This work has been prepared to meet a want in a course on the subject, arranged for advanced students in Physics. It could be used in connection with lectures on the theory of Differential Equations and the derivation of the methods of solution.

(

**8656**views)