论文信息 - An Oscillation Theorem for Discrete Eigenvalue Problems

An Oscillation Theorem for Discrete Eigenvalue Problems

Eigenvalue problems for symplectic difference systems are considered. The main result of the paper, an oscillation theorem, relates the number of eigenvalues to the number of generalized zeros of solutions.

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

[2] C. Ahlbrandt,et al. Linear Hamiltonian Difference Systems : Disconjugacy and Jacobi-Type Conditions , 1996 .

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

[4] A. Peterson,et al. Dynamic Equations on Time Scales: An Introduction with Applications , 2001 .

[5] Charles R. Johnson,et al. Matrix analysis , 1985, Statistical Inference for Engineers and Data Scientists.

[6] Peter Lancaster,et al. The theory of matrices , 1969 .

[7] Adi Ben-Israel,et al. Generalized inverses: theory and applications , 1974 .

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

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

[10] Werner Kratz. An Index Theorem for Monotone Matrix-Valued Functions , 1995, SIAM J. Matrix Anal. Appl..