The Discrete Prüfer Transformation

Symplectic Difference Systems: Oscillation Theory and Hyperbolic Prüfer Transformation

PRÜFER TRANSFORMATION FOR THE p-LAPLACIAN

Prüfer transformation is a useful tool for study of second-order ordinary differential equations. There are many possible extensions of the original Prüfer transformation. We focus on a transformation suitable for study of boundary value problems for the p-Laplacian in the resonant case. The purpose of this paper is to establish its basic properties in deep detail.

Modified Prüfer and Efgp Transforms and Deterministic Models with Dense Point Spectrum

We provide a new proof of the theorem of Simon and Zhu that in the region |E| < λ for a.e. energies, − d2 dx2 + λ cos(xα), 0 < α < 1 has Lyapunov behavior with a quasi-classical formula for the Lyapunov exponent. We also prove Lyapunov behavior for a.e. E ∈ [−2, 2] for the discrete model with V (j2) = ej , V (n) = 0 if n / ∈ {1, 4, 9, . . . }. The arguments depend on a direct analysis of the eq...

Prüfer codes for hypertrees

1: We describe a new Prüfer code which works also for infinite hypertrees.

Partial Eigenvalue Assignment in Discrete-time Descriptor Systems via Derivative State Feedback

A method for solving the descriptor discrete-time linear system is focused. For easily, it is converted to a standard discrete-time linear system by the definition of a derivative state feedback. Then partial eigenvalue assignment is used for obtaining state feedback and solving the standard system. In partial eigenvalue assignment, just a part of the open loop spectrum of the standard linear s...