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Lectures on Differential Equations by Craig A. Tracy
 
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Ebooks May 28, 2022 2

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Author
Craig A. Tracy
Publisher
University of California 2011
From the table of contents: Pendulum and MatLab; First Order Equations; Second Order Linear Equations; Difference Equations; Matrix Differential Equations; Weighted String; Quantum Harmonic Oscillator; Laplace Transform, etc.
A Second Course in Elementary Ordinary Differential Equations by Marcel B. Finan
 
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Ebooks May 25, 2022 3

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Author
Marcel B. Finan
Publisher
Arkansas Tech University 2006
Contents: Calculus of Matrix-Valued Functions of a Real Variable; nth Order Linear Differential Equations; The General Solution of nth Order Linear Homogeneous Equations; Fundamental Sets and Linear Independence; Higher Order Homogeneous Linear Equations with Constant Coefficients; etc.
A First Course in Elementary Differential Equations by Marcel B. Finan
 
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Ebooks May 25, 2022 1

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Author
Marcel B. Finan
Publisher
Arkansas Tech University 2006
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; Modeling with First Order Linear Differential Equations; etc.
Second-order Ordinary Differential Equations by R.S. Johnson
 
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Ebooks May 24, 2022 3

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Author
R.S. Johnson
Publisher
Bookboon 2012
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....
Introduction to the Galois Theory of Linear Differential Equations by Michael F. Singer
 
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Ebooks May 23, 2022 2

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Author
Michael F. Singer
Publisher
arXiv 2008
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.
Differential Equations by H. B. Phillips
 
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Ebooks May 20, 2022 3

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Author
H. B. Phillips
Publisher
John Wiley & Sons 1922
With the formal exercise in solving the types of ordinary differential equations that usually occur 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.
Integration and Differential Equations by R.S. Johnson
 
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Ebooks May 18, 2022 2
The material in this text (Part I) introduces and develops the standard techniques of elementary integration and, in some cases, takes the ideas a little further.
Linearization via the Lie Derivative by Carmen Chicone, Richard Swanson
 
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Ebooks May 16, 2022 2

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Author
Carmen Chicone, Richard Swanson
Publisher
American Mathematical Society 2000
The standard proof of the Grobman--Hartman linearization theorem for a flow at a hyperbolic rest point proceeds by first establishing the analogous result for hyperbolic fixed points of local diffeomorphisms. In this exposition we present a simple direct proof that avoids the discrete case altogether.
 
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Ebooks May 16, 2022 3

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Author
Mihai Bostan
Publisher
American Mathematical Society 2002
We study the existence and uniqueness of periodic solutions for evolution equations. First we analyze the one-dimensional case. Then for arbitrary dimensions (finite or not), we consider linear symmetric operators. We also prove the same results for non-linear sub-differential operators. ...
 
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Ebooks May 16, 2022 2

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Author
Robert M. Brooks, Klaus Schmitt
Publisher
American Mathematical Society 2009
These notes contain various versions of the contraction mapping principle. Several applications to existence theorems in the theories of differential and integral equations and variational inequalities are given. Also discussed are Hilbert's projective metric and iterated function systems.
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