Singular Hamiltonian system with several spectral parameters. II: Odd-order case (Q2633867)

The author continues his study [the author, J. Math. Anal. Appl. 461, No. 2, 1241--1259 (2018; Zbl 1384.37080)] of Hamiltonian systems with several spectral parameters of the form: \[ JY'(x)= \left[ \sum_{k=1}^m \lambda _kA_k(x) +B(x)\right]Y(x), \quad x\in [a,b), \] where $A_k$ and $B$ are real, locally integrable $(2n+1)\times (2n+1)$ matrices such that $A^*_k=A_k, B^*=B$, $\lambda _k$ are complex parameters, $a$ is a regular endpoint and $b$ is a singular endpoint, $J^*=-J$. A behavior of the solution at singular point is investigated by means of the characteristic function theory. Some results for Weyl-Titchmarsh functions are given.