Questions tagged [differential-equations]
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History of Pfaff's problem and integrability conditions
I'm curious about Pfaff's problem and all the various mathematicians who have worked on it. From Wikipedia articles I was able to gather the following timeline of events.
In the modern language:
Pfaff'...
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What kinds of differential equations were solved on the early differential analyzer?
Harold Locke Hazen and Vannevar Bush created the Differential Analyzer at MIT between 1928 and 1931 to solve differential equations, according to the Wikipedia Article on the topic. I've read this ...
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Asymptotically Periodic Potentials
Who came up with the idea of solving elliptic equations with periodic potentials and from there solving elliptic equations with asymptotically periodic potentials? I heard it was Pierre Louis Lions, ...
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The origin of $∂^2=0$ and $d^2=0$
I know that formula $∂^2=0$ and $d^2=0$ very important in the homology and cohomology theory. And I understand that this formula was generated from the process of finding a solution to the partial ...
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The original Dirac equation
In the original 1928 paper (pdf) the Dirac equation appears on page 615 in equation (9) as
$$
[p_0+\rho_1\left(\boldsymbol{\sigma},\boldsymbol{p}\right)+\rho_3mc]\psi=0\qquad(1)
$$
Using the ...
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Motivation of Monge-Ampere equation
I have a question about Monge-Ampere equation.
I read a book The shape of inner space by Shing-Tung Yau.
Chapter 5 in this book, Complex-Monge-Ampere equation's explaination was so interesting. In the ...
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History of PDE's in the 19th Century (part 2)
This is a follow up to this question: History of PDE's in the 19th Century
The question I have been given to answer is:
The history of partial differential equations in the 19th Century belongs ...
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The Original Proofs of The Stable Manifold Theorem
The book "Differential Equations and Dynamical Systems" by Lawrence Perko says that the first proofs of the Stable Manifold Theorem are from Hadamard in 1901, Perron in 1928, and Liapunov and Perron. ...
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