2 problems

Let $M_N$ and $M_D$ be the Neumann and Dirichlet Titchmarsh–Weyl matrices, respectively, and let $\operatorname{Res}(M_N,0)$ and $\operatorname{Res}(M_D,0)$ denote their residue ma…

Nonexistence conjecture. If either of these integral conditions is satisfied on $M$, then every nonnegative solution of the equation referred to as $$ is identically zero.