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 Klaus Schmitt, Russell C. Thompson - University of Utah
The intent of this set of notes is to present several of the important existence theorems for solutions of various types of problems associated with differential equations and provide qualitative and quantitative descriptions of solutions.
by Jeffrey R. Chasnov - BookBoon
This book, together with the linked YouTube videos, reviews a first course on differential equations. The purpose is to help students prepare for their exams. Theory is summarized, and the solutions of questions are demonstrated in YouTube videos.
by 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.
by George A. Osborne - Boston, Ginn & Company
This work has been prepared to meet a want in a course on the subject, arranged for advanced students in Physics. It could be used in connection with lectures on the theory of Differential Equations and the derivation of the methods of solution.