An Oscillation Theorem for Discrete Eigenvalue Problems

By Martin J. Bohner, Ondrej Doslý, W. Kratz. 2003

66 citations recorded by the source corpus.

Subfields: Applied Mathematics, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/cc8f63d67e97ee5d71893e2e82f808fb2137182f

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Samir H. Saker
2. Martin J. Bohner
3. Allan Peterson
4. Ravi P. Agarwal
5. Lynn Erbe
6. Tongxing Li
7. E. Akın
8. Markus Wahrheit

In Numerical Analysis

1. Martin J. Bohner
2. Samir H. Saker
3. Allan Peterson
4. Lynn Erbe
5. Ravi P. Agarwal
6. Tongxing Li
7. Markus Wahrheit
8. Chenghui Zhang

Citations in the corpus

• Oscillation criteria for a certain class of second order Emden-Fowler dynamic equations. (2007, background): “We refer the reader to the papers [2, 3, 4, 7, 11, 12, 13, 14, 15, 16, 17, 18, 19, 21, 23].”
• Oscillation of Second Order Nonlinear Dynamic Equations on Time Scales (2004, methodology): “We refer the reader to the papers [2, 3, 6, 8 11].”
• Asymptotic behavior of solutions of a third-order nonlinear dynamic equation on time scales (2005, methodology): “nonoscillation of solutions of some dynamic equations on time scales, and we refer the reader to the papers [3, 4, 6-15, 18, 19].”
• Oscillation Criteria for Second‐Order Nonlinear Dynamic Equations On Time Scales (2003, methodology): “We refer the reader to the papers [2], [3], [5]-[12].”
• Oscillation of Second Order Delay Dynamic Equations (2005, background): “The problem of obtaining sufficient conditions to ensure that all solutions of certain classes of second order dynamic equations are oscillatory has been studied by a number of authors [2, 3, 4, 5, 7, 11, 12, 13, 14, 15, 16, 21].”
• Eigenvalue Problems and Oscillation of Linear Hamiltonian Systems (2007, background): “Recently the focus on the analysis of this kind of problems lies on discrete eigenvalue problems [2,3,6].”
• Nonoscillation and Oscillation Theory for Functional Differential Equations (2004, unknown): “We refer here to the papers [44, 62, 77, 90, 127, 238] and the references contained therein, where oscillatory properties of special cases of (8.”
• Oscillation theorems for symplectic difference systems (2007, unknown): “[4] can be used to handle also general boundary conditions (rather that Dirichlet conditions) via an augmented “big” 4n £ 4n symplectic system (see, e.”