**Second-order Ordinary Differential Equations**

by R.S. Johnson

**Publisher**: Bookboon 2012**ISBN-13**: 9788776819729**Number of pages**: 181

**Description**:

This text provides an introduction to all the relevant material normally encountered at university level: series solution, special functions (Bessel, etc.), Sturm-Liouville theory (involving the appearance of eigenvalues and eigenfunctions) and the definition, properties and use of various integral transforms (Fourier, Laplace, etc.). Numerous worked examples are provided throughout.

Download or read it online for free here:

**Download link**

(2.5MB, PDF)

## Similar books

**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.

(

**12207**views)

**Ordinary Differential Equations**

by

**Stephen Wiggins**-

**University of Bristol**

This book consists of ten weeks of material given as a course on ordinary differential equations for second year mathematics majors. Rather than seeking to find specific solutions, we seek to understand how all solutions are related in phase space.

(

**4313**views)

**Nonlinear Analysis and Differential Equations**

by

**Klaus Schmitt, Russell C. Thompson**-

**University of Utah**

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.

(

**10594**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.

(

**6935**views)