**Lectures on Analytic Differential Equations**

by Yulij Ilyashenko, Sergei Yakovenko

**Publisher**: American Mathematical Society 2007**ISBN/ASIN**: 0821836676**ISBN-13**: 9780821836675**Number of pages**: 599

**Description**:

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, sometimes simplified demonstrations of several fundamental results. It explores in a systematic way the algebraic decidability of local classification problems, rigidity of holomorphic foliations, etc.

Download or read it online for free here:

**Download link**

(5.6MB, PDF)

## Similar books

**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.

(

**8414**views)

**Introduction to the Galois Theory of Linear Differential Equations**

by

**Michael F. Singer**-

**arXiv**

The author's goal was to give the audience an introduction to the algebraic, analytic and algorithmic aspects of the Galois theory of linear differential equations by focusing on some of the main ideas and philosophies and on examples.

(

**5897**views)

**Periodic Solutions for Evolution Equations**

by

**Mihai Bostan**-

**American Mathematical Society**

We study the existence and uniqueness of periodic solutions for evolution equations. We analyze the one-dimensional case, then for arbitrary dimensions. We consider linear symmetric operators. We prove the same results for non-linear operators.

(

**4619**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.

(

**2832**views)