Suppose $\alpha, L>0.$ Under what conditions (between $\alpha, L$) the Riccati equation
$d\Phi/dz=2i[\Phi(z)^2+\alpha Cos(2\pi z/L)\Phi(z)+1]$
can have a periodic solution with period $L$ (under the initial assumption of $\Phi(0)=0$)?
2026-03-29 15:14:38.1774797278
Periodic solutions to Riccati equations
112 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail AtRelated Questions in CALCULUS
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