**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

**Ordinary Differential Equations: A Systems Approach**

by

**Bruce P. Conrad**

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.

(

**4823**views)

**Differential Equations**

by

**H. B. Phillips**-

**John Wiley & Sons**

With the formal exercise in solving the usual types of ordinary differential equations it is the object of this text to combine a thorough drill in the solution of problems in which the student sets up and integrates his own differential equation.

(

**8057**views)

**Integration and Differential Equations**

by

**R.S. Johnson**-

**BookBoon**

Part I introduces the standard techniques of elementary integration and, in some cases, takes the ideas a little further. In Part II, ordinary differential equation are explored, and the solution methods for some standard types are explained.

(

**4584**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.

(

**4935**views)