**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

**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.

(

**8311**views)

**Ordinary Differential Equations**

by

**Wong Yan Loi**-

**National University of Singapore**

From the table of contents: First Order Differential Equations; Linear Differential Equations; Second Order Linear Differential Equations; Linear Differential Systems; Power Series Solutions; Fundamental Theory of Ordinary Differential Equations.

(

**6390**views)

**Lectures on Analytic Differential Equations**

by

**Yulij Ilyashenko, Sergei Yakovenko**-

**American Mathematical Society**

A graduate-level textbook and survey of the recent results on analysis and geometry of differential equations in the real and complex domain. The book includes self-contained demonstrations of several fundamental results.

(

**10271**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.

(

**5753**views)