
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
Differential Equations and Linear Algebraby Simon J.A. Malham - Heriot-Watt University
From the table of contents: Linear second order ODEs; Homogeneous linear ODEs; Non-homogeneous linear ODEs; Laplace transforms; Linear algebraic equations; Matrix Equations; Linear algebraic eigenvalue problems; Systems of differential equations.
(14424 views)
The Contraction Mapping Principle and Some Applicationsby 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.
(12027 views)
Real Functions in One Variable: Simple Differential Equations Iby Leif Mejlbro - BookBoon
Some examples of simple differential equations. The book covers separation of variables, linear differential equation of first order, the existence and uniqueness theorem, the Bernoulli differential equation, and the setup of model equations.
(14604 views)
Ordinary Differential Equationsby 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.
(9834 views)