Dynamic equations on time scales: a survey

By Ravi P. Agarwal, Martin J. Bohner, Donal O'Regan, Allan Peterson. 2002

637 citations recorded by the source corpus.

Subfields: Applied Mathematics, Modeling and Simulation, Public Health, Environmental and Occupational Health

View Paper: https://www.semanticscholar.org/paper/15855debed3dcb3bf97a8402c002fe48edeadc40

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

In Modeling and Simulation

1. Allan Peterson
2. Lynn Erbe
3. Samir H. Saker
4. Martin J. Bohner
5. Ravi P. Agarwal
6. Donal O'Regan
7. Shurong Sun
8. Zhenlai Han

In Public Health, Environmental and Occupational Health

1. Samir H. Saker
2. Martin J. Bohner
3. Ravi P. Agarwal
4. Allan Peterson
5. Dorota Mozyrska
6. Christopher C. Tisdell
7. Delfim F. M. Torres
8. Lynn Erbe

Citations in the corpus

• Oscillation criteria for second-order nonlinear neutral delay dynamic equations (2004, background): “" Since then several authors have expounded on various aspects of this new theory, see the survey paper by Agarwal et al. [1] and the references cited therein.”
• Oscillation of Second Order Delay Dynamic Equations (2005, background): “A book on the subject of time scales by Bohner and Peterson [9] summarizes and organizes much of the time scale calculus (see also [1, 10]).”
• Diamond- Jensen's Inequality on Time Scales (2007, background): “la antiderivative of g : T → R, provided G∇(t) = g(t) holds for all t ∈ Tk. Then, the nabla integral of g is defined by Rb a g(t)∇t = G(b) −G(a). For more details on time scales we refer the reader to [1, 2, 4, 5, 6, 7, 8]. Now, we briefly introduce the diamond-α dynamic derivative and the diamond-α d”
• Oscillation Criteria for Second‐Order Nonlinear Dynamic Equations On Time Scales (2003, background): “Since then several authors have expounded on various aspects of this new theory, see the survey paper by Agarwal, Bohner, O’Regan, and Peterson [1] and the references cited therein.”
• Oscillation of Second Order Nonlinear Dynamic Equations on Time Scales (2004, neutral): “[1] and the references cited therein.”
• Volterra integral equations on time scales: Basic qualitative and quantitative results with applications to initial value problems on unbounded domains (2007, background): “Received July 26, 2007; Accepted September 2, 2007 Communicated by Lynn Erbe”
• Inequalities on Time Scales: A Survey (2001, background): “Time scales, Dynamic equations, Measure chains. c D l , Zagreb 535”
• Oscillation criteria for second-order nonlinear delay dynamic equations (2007, neutral): “[1] and the references cited therein.”