Lectures on Analytic Differential Equations
by Yulij Ilyashenko, Sergei Yakovenko
Publisher: American Mathematical Society 2007
Number of pages: 599
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.
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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.
by William F. Trench - Brooks Cole
This text has been written in clear and accurate language that students can read and comprehend. The author has minimized the number of explicitly state theorems and definitions, in favor of dealing with concepts in a more conversational manner.
by 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.
by Wong Yan Loi - National University of Singapore
From the table of contents: First Order Differential Equations; Linear Differential Equations; Second Order Linear Differential Equations; Linear Differential Systems; Power Series Solutions; Fundamental Theory of Ordinary Differential Equations.