✦ LIBER ✦

On the integrability of Hill's equations with finite band spectra

✍ Scribed by Harry Hochstadt; Wallace Goldberg

Publisher: Elsevier Science
Year: 1983
Tongue: English
Weight: 368 KB
Volume: 94
Category: Article
ISSN: 0022-247X
DOI: 10.1016/0022-247x(83)90069-0

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

On the eigenvalues of Hill's equation

✍ L. E. Blumenson 📂 Article 📅 1963 🏛 John Wiley and Sons 🌐 English ⚖ 253 KB

The inverse periodic problem for Hill's

The inverse periodic problem for Hill's equation with a finite-gap potential

✍ Mutiara Buys; Allan Finkel 📂 Article 📅 1984 🏛 Elsevier Science 🌐 English ⚖ 679 KB

The inverse periodic problem for Hill's

The inverse periodic problem for Hill's equation with a finite gap potential

📂 Article 📅 1984 🏛 Elsevier Science 🌐 English ⚖ 66 KB

Solution of an integral equation of the

Solution of an integral equation of the convolution type with finite limits of integration

✍ V.G. Sologub 📂 Article 📅 1971 🏛 Elsevier Science ⚖ 949 KB

On the stability of generalized hill's e

On the stability of generalized hill's equation with three independent parameters

✍ M.M. Stanišić 📂 Article 📅 1980 🏛 Elsevier Science 🌐 English ⚖ 523 KB

On the Floquet Exponents of Hill's Equat

On the Floquet Exponents of Hill's Equation Systems

✍ Robert Denk 📂 Article 📅 1995 🏛 John Wiley and Sons 🌐 English ⚖ 292 KB 👁 1 views

For the k x k-matrix-valued version of Hill's equation it is shown that the dimension of the matrix needed to compute the Floquet exponents can be reduced from 2k to k. Also the existence of periodic solutions is equivalent to the non-invertibility of certain k x k-matrices.