Allan Peterson

Applied Mathematics · 2000–2016

A researcher in the Science corpus: 30 papers; trusts 17 researchers and is trusted by 54 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 88 citations into it; #444 of 7,620 by trust here, #145 by citations
• Numerical Analysis — 49 citations into it; #132 of 3,586 by trust here, #77 by citations
• Modeling and Simulation — 38 citations into it; #123 of 2,105 by trust here, #91 by citations
• Control and Systems Engineering — 19 citations into it; #752 of 8,257 by trust here, #792 by citations
• Computational Theory and Mathematics — 11 citations into it; #1,979 of 12,182 by trust here, #1,557 by citations
• Geometry and Topology — 11 citations into it; #3,061 of 7,422 by trust here, #2,575 by citations
• Statistical and Nonlinear Physics — 7 citations into it; #2,028 of 10,127 by trust here, #3,100 by citations
• Mathematical Physics — 6 citations into it; #5,304 of 8,562 by trust here, #3,022 by citations

Whom Allan Peterson trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Martin J. Bohner
2. Lynn Erbe
3. Samir H. Saker
4. Ravi P. Agarwal
5. Rui A. C. Ferreira
6. Ferhan Merdivenci Atici
7. Ondrej Doslý
8. Pavel Rehák
9. Christopher S. Goodrich
10. Paul W. Eloe

Who trusts Allan Peterson overall

1. Lynn Erbe
2. Samir H. Saker
3. Martin J. Bohner
4. Ravi P. Agarwal
5. Baoguo Jia
6. Douglas R. Anderson
7. J. Henderson
8. Jeffrey J. Dacunha
9. Tongxing Li
10. Gusein Sh. Guseinov

Papers from Allan Peterson's perspective

Ordered by how strongly the researchers Allan Peterson trusts endorse each paper. Same corpus, a different order for every researcher.

1. Dynamic Equations on Time Scales: An Introduction with Applications
2. Taming nature's numbers
3. Oscillation criteria of second-order half-linear dynamic equations on time scales
4. Hille and Nehari type criteria for third-order dynamic equations
5. Oscillation of Second Order Nonlinear Dynamic Equations on Time Scales
6. Initial value problems in discrete fractional calculus
7. Half-linear dynamic equations on time scales: IVP and oscillatory properties
8. Oscillation of Second Order Delay Dynamic Equations
9. A necessary and sufficient condition for oscillation of the Sturm--Liouville dynamic equation on time scales
10. Oscillation Results for Second-order Linear Equations on a Time Scale

Their papers

• Advances in Dynamic Equations on Time Scales (2012) — 1,830 citations
• Oscillation criteria for second-order matrix dynamic equations on a time scale (2002) — 88 citations
• Inequalities on Time Scales: A Survey (2001) — 341 citations
• Discrete Fractional Calculus (2016) — 701 citations
• Weighted Hardy-Type Inequalities on Time Scales with Applications (2016) — 48 citations
• Survey of the qualitative properties of fractional difference operators: monotonicity, convexity, and asymptotic behavior of solutions (2016) — 69 citations
• Convexity for nabla and delta fractional differences (2015) — 69 citations
• Two monotonicity results for nabla and delta fractional differences (2015) — 76 citations
• Comparison theorems and asymptotic behavior of solutions of discrete fractional equations (2015) — 48 citations
• The Theory of Differential Equations (2010) — 94 citations
• Oscillation of third order nonlinear functional dynamic equations on time scales (2010) — 68 citations
• Oscillation Criteria for Half-Linear Delay Dynamic Equations on Time Scales (2009) — 70 citations
• Oscillation criteria for nonlinear functional neutral dynamic equations on time scales (2009) — 64 citations
• Oscillation Criteria for Sublinear Half-Linear Delay Dynamic Equations (2009) — 49 citations
• Oscillation criteria for second-order nonlinear delay dynamic equations (2007) — 146 citations
• Hille and Nehari type criteria for third-order dynamic equations (2007) — 105 citations
• Henstock–Kurzweil delta and nabla integrals☆ (2006) — 79 citations
• Oscillation for Nonlinear Second Order Dynamic Equations on a Time Scale (2005) — 104 citations
• Asymptotic behavior of solutions of a third-order nonlinear dynamic equation on time scales (2005) — 99 citations
• Oscillation Criteria for Second‐Order Nonlinear Dynamic Equations On Time Scales (2003) — 138 citations