Spectral theory of two-point differential operators determined by −D2. I. Spectral properties

The Spectral Theory of Second Order Two-

The Spectral Theory of Second Order Two-Point Differential Operators II. Asymptotic Expansions and the Characteristic Determinant

✍ J. Locker 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 443 KB

In this second paper of a four-part series, we construct the characteristic determinant of a two-point differential operator \(L\) in \(L^{2}[0,1]\), where \(L\) is determined by \(\ell=-D^{2}+q\) and by independent boundary values \(B_{1}, B_{2}\). For the solutions \(u(\cdot ; \rho)\) and \(v(\cdo