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4 votes
1 answer
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Existence of periodic solution to ODE

We shall consider the matrix-valued differential operator $$(L u)(x) :=u'(x) - \begin{pmatrix} 0 & \sin(2\pi x-\frac{\pi}{6})\\ - 2\sin(2\pi x+\frac{\pi}{6}) & 0 \end{pmatrix} u(x).$$ This is ...
Kung Yao's user avatar
  • 192
0 votes
1 answer
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Meromorphic solutions to Legendre's equation

I just saw the following question that was asked yesterday on math overflow on meromorphic solutions to ODEs Although, I understand the answers and comments to the questions, I did not understand how ...
Zinkin's user avatar
  • 501