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Ordinary or partial differential equations. Delay differential equations, neutral equations, integro-differential equations. Well-posedness, asymptotic behavior, and related questions.

2 votes
0 answers
99 views

On the decay of a supersolution of a Sturm Liouville eigenvalue problem

I am not really familiar with Sturm-Liouville theory, so possibly the answer to my question is rather trivial. Consider the SL problem \begin{equation*} L \varphi (x) : = \frac{d}{dx}\Big[ (x^2+1)^\f …
1 vote
0 answers
63 views

Hilbert like transform on the circle

Suppose that $u $ is a smooth function real valued function defined on an open neighborhood of the unit disc $ \mathbb{D} $, which satisfies a second order elliptic partial differential equation; \beg …