Ordinary Differential Equations
by Wong Yan Loi
Publisher: National University of Singapore 2013
Number of pages: 121
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.
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by Craig A. Tracy - University of California
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.
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.
by Bruce P. Conrad
This is a revision of a text that was on the market for a while. It focuses on systems of differential equations. Some popular topics, which were present in the original text, have been left out to concentrate on the initial value problem.
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.