Oscillation criteria for second-order matrix dynamic equations on a time scale

By Lynn Erbe, Allan Peterson. 2002

88 citations recorded by the source corpus.

Subfields: Applied Mathematics, Computational Theory and Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/7007e1cfe3f692ffa7d68af2d48ba7c0244a575a

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. Martin J. Bohner
2. Samir H. Saker
3. Ravi P. Agarwal
4. Allan Peterson
5. Lynn Erbe
6. Donal O'Regan
7. Tongxing Li
8. Chenghui Zhang

In Computational Theory and Mathematics

1. Samir H. Saker
2. Martin J. Bohner
3. Allan Peterson
4. Ravi P. Agarwal
5. Lynn Erbe
6. Donal O'Regan
7. Antonín Slavik
8. Gusein Sh. Guseinov

In Mathematical Physics

1. Samir H. Saker
2. Martin J. Bohner
3. Ravi P. Agarwal
4. Allan Peterson
5. Donal O'Regan
6. Lynn Erbe
7. Haiyan Wang

Citations in the corpus

• Oscillation of second-order damped dynamic equations on time scales (2007, background): “In the last few years, much interest has focused on obtaining sufficient conditions for the oscillation/nonoscillation of solutions of different classes of dynamic equations on time scales, and we refer the reader to the papers [3–7,10–20,22,25–27].”
• Oscillation of second-order nonlinear neutral delay dynamic equations on time scales (2006, background): “We refer the reader to the papers [2–4,7–14,21–23] and the reference cited therein.”
• Oscillation for Nonlinear Second Order Dynamic Equations on a Time Scale (2005, background): “where λ> 0, for which many oscillation criteria are known (see, e.g., [3,4,7, 9 ,12]).”
• Existence of nonoscillatory solutions to neutral dynamic equations on time scales (2007, unknown): “In fact, in light of (5), (6) and the definition of ū(t), for any x ∈ X, we can choose ū(t) ∈ L such that ∣∣ū(t) − x(t)∣∣ < ε 3 , t ∈ [T0, T1]T.”
• Nonoscillation and Oscillation Theory for Functional Differential Equations (2004, unknown): “Other interesting references concerning the time scales calculus contain [4, 5, 6, 7, 12, 13, 14, 15, 16, 17, 18, 19, 20, 26, 27, 32, 38, 39, 45, 47, 48, 49, 50, 51, 52, 54, 56, 69, 85, 86, 87, 88, 125, 126, 143].”
• Oscillation Results for Second-order Linear Equations on a Time Scale (2002, unknown): “NB 68588-0323, USA (Received 20 September 2001; Revised 9 October 2001; In final form 9 October 2001) Dedicated to Allan Peterson on the occasion of his 60th birthday We are interested in extensions of certain averaging techniques for the second-order scalar differential equation ðrðtÞxDðtÞÞD þ qðtÞ”