The discrete Prufer transformation

The discrete Prufer transformation for Sturm-Liouville difference equations is established and used to derive new oscillation and nonoscillation criteria.

[1]  Harro Heuser,et al.  Gewöhnliche Differentialgleichungen : Einführung in Lehre und Gebrauch , 1989 .

[2]  G. Etgen A note on trigonometric matrices , 1966 .

[3]  Á. Elbert,et al.  A half-linear second order differential equation , 1979 .

[4]  S. Hilger Analysis on Measure Chains — A Unified Approach to Continuous and Discrete Calculus , 1990 .

[5]  Michael R. Greenberg,et al.  Chapter 1 – Theory, Methods, and Applications , 1978 .

[6]  M. Bohner,et al.  Trigonometric Transformations of Symplectic Difference Systems , 2000 .

[7]  On some properties of trigonometric matrices , 1987 .

[8]  J. Barrett A Prüfer transformation for matrix differential equations , 1957 .

[9]  R. Hilscher,et al.  Disconjugacy, transformations and quadratic functionals for symplectic dynamic systems on time scales , 2001 .

[10]  B. Aulbach,et al.  Linear Dynamic Processes with Inhomogeneous Time Scale , 1990, Nonlinear Dynamics and Quantum Dynamical Systems.

[11]  Discrete Trigonometric Matrix Functions , 1997 .

[12]  R. Agarwal,et al.  Basic Calculus on Time Scales and some of its Applications , 1999 .

[13]  C. Ahlbrandt,et al.  Discrete Hamiltonian Systems: Difference Equations, Continued Fractions, and Riccati Equations , 1996 .

[14]  G. Etgen Oscillatory properties of certain nonlinear matrix differential systems of second order. , 1966 .

[15]  A. Peterson,et al.  Difference Equations: An Introduction with Applications , 2000 .

[16]  W. Reid A Prüfer transformation for differential systems. , 1958 .

[17]  Martin Bohner,et al.  Disconjugacy and Transformations for Symplectic Systems , 1997 .

[18]  Ravi P. Agarwal,et al.  Difference equations and inequalities , 1992 .

[19]  H. Prüfer Neue Herleitung der Sturm-Liouvilleschen Reihenentwicklung stetiger Funktionen , 1926 .

[20]  W. Reid Generalized polar coordinate transformation for differential systems , 1971 .