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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
60 views

How to constrain the integral of the control function to a fixed value?

In the following, I am referring to the general "Hamiltonian control theory" using the conventions defined here. I am working on a very simple S($x_1$)I($x_2$)R($x_3$) model for infectious disease spr …
Raphael J.F. Berger's user avatar
2 votes
0 answers
117 views

Solution of equation on vector field

I have a vector field function $\vec{J}: {\bf R}^3\to {\bf R}^3$ looking like: $$ \vec{J}(\vec{r}) = (\vec{B} \times \vec{v}(\vec{r}))\rho(\vec{r}) $$ with a (very well behaved) real, positive, diff …
Raphael J.F. Berger's user avatar