Examples of differential equations, with rules for their solution
by George A. Osborne
Publisher: Boston, Ginn & Company 1899
Number of pages: 76
This work has been prepared to meet a want felt by the author in a practical course on the subject, arranged for advanced students in Physics. It is intended to be used in connection with lectures on the theory of Differential Equations and the derivation of the methods of solution. Many of the examples have been collected from standard treatises, but a considerable number have been prepared by the author to illustrate special difficulties, or to provide exercises corresponding more nearly with the abilities of average students.
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by 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.
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 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.
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.