A First Course in Ordinary Differential Equations
by Norbert Euler
Publisher: Bookboon 2015
ISBN-13: 9788740310450
Number of pages: 232
Description:
The book consists of lecture notes intended for engineering and science students who are reading a first course in ordinary differential equations and who have already read a course on linear algebra, including general vector spaces and integral calculus for functions of one variable.
Download or read it online for free here:
Download link
(4.9MB, PDF)
Similar books
A First Course in Elementary Differential Equationsby Marcel B. Finan - Arkansas Tech University
Contents: Basic Terminology; Qualitative Analysis: Direction Field of y'=f(t,y); Existence and Uniqueness of Solutions to First Order Linear IVP; Solving First Order Linear Homogeneous DE; Solving First Order Linear Non Homogeneous DE; etc.
(13780 views)
Linearization via the Lie Derivativeby Carmen Chicone, Richard Swanson - American Mathematical Society
The proof of the Grobman-Hartman linearization theorem for a flow at a hyperbolic rest point proceeds by establishing the analogous result for hyperbolic fixed points of local diffeomorphisms. We present a proof that avoids the discrete case.
(10726 views)
Periodic Solutions for Evolution Equationsby 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.
(11105 views)
Ordinary Differential Equationsby Dmitry Panchenko - University of Toronto
Contents: First order differential equations; Existence and uniqueness of solutions for first order differential equations; Systems of first order equations and higher order linear equations; Solving higher order linear differential equations; etc.
(8178 views)