Allan Peterson

14.4k total citations · 5 hit papers
152 papers, 11.0k citations indexed

About

Allan Peterson is a scholar working on Applied Mathematics, Numerical Analysis and Modeling and Simulation. According to data from OpenAlex, Allan Peterson has authored 152 papers receiving a total of 11.0k indexed citations (citations by other indexed papers that have themselves been cited), including 124 papers in Applied Mathematics, 77 papers in Numerical Analysis and 40 papers in Modeling and Simulation. Recurrent topics in Allan Peterson's work include Nonlinear Differential Equations Analysis (110 papers), Differential Equations and Numerical Methods (60 papers) and Fractional Differential Equations Solutions (40 papers). Allan Peterson is often cited by papers focused on Nonlinear Differential Equations Analysis (110 papers), Differential Equations and Numerical Methods (60 papers) and Fractional Differential Equations Solutions (40 papers). Allan Peterson collaborates with scholars based in United States, China and Egypt. Allan Peterson's co-authors include Martin Böhner, Lynn Erbe, Walter G. Kelley, Christopher S. Goodrich, Ravi P. Agarwal, Calvin D. Ahlbrandt, Richard I. Avery, Samir H. Saker, Baoguo Jia and Donal O’Regan and has published in prestigious journals such as SHILAP Revista de lepidopterología, Journal of Mathematical Analysis and Applications and Applied Mathematics and Computation.

In The Last Decade

Allan Peterson

145 papers receiving 9.5k citations

Hit Papers

Dynamic Equations on Time Scales 2000 2026 2008 2017 2001 2001 2003 2000 2015 500 1000 1.5k 2.0k
What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

  1. Dynamic Equations on Time Scales
    2001 2.1k citations Martin Böhner, Allan Peterson Birkhäuser Boston eBooks profile →
  2. Dynamic Equations on Time Scales: An Introduction with Applications
    2001 1.8k citations Martin Böhner, Allan Peterson profile →
  3. Advances in Dynamic Equations on Time Scales
    2003 1.7k citations Martin Böhner, Allan Peterson Birkhäuser Boston eBooks profile →
  4. Difference Equations: An Introduction with Applications
    2000 675 citations Allan Peterson et al. profile →
  5. Discrete Fractional Calculus
    2015 483 citations Christopher S. Goodrich, Allan Peterson profile →

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Allan Peterson United States 35 9.0k 4.8k 3.3k 3.1k 1.2k 152 11.0k
Martin Böhner United States 49 11.0k 1.2× 6.1k 1.3× 3.9k 1.2× 3.8k 1.2× 1.5k 1.2× 330 13.9k
Yong Zhou China 53 10.0k 1.1× 3.8k 0.8× 9.6k 2.9× 3.1k 1.0× 876 0.7× 356 12.1k
Donal O’Regan Ireland 58 14.7k 1.6× 7.7k 1.6× 6.4k 1.9× 3.5k 1.1× 4.1k 3.3× 1.2k 19.8k
Stefan Samko Portugal 30 5.9k 0.7× 2.8k 0.6× 5.7k 1.7× 975 0.3× 454 0.4× 155 10.0k
Juan J. Trujillo Spain 43 5.3k 0.6× 3.1k 0.6× 7.1k 2.1× 1.6k 0.5× 580 0.5× 143 8.8k
Jean Mawhin Belgium 39 6.6k 0.7× 3.1k 0.6× 674 0.2× 959 0.3× 1.6k 1.3× 239 8.4k
Kai Diethelm Germany 29 4.8k 0.5× 5.6k 1.2× 10.9k 3.3× 1.9k 0.6× 516 0.4× 70 13.2k
Sotiris K. Ntouyas Greece 43 9.7k 1.1× 4.0k 0.8× 7.0k 2.1× 1.7k 0.5× 995 0.8× 580 10.3k
G. Ladas United States 41 6.4k 0.7× 3.0k 0.6× 1.3k 0.4× 932 0.3× 2.3k 1.9× 193 8.4k
Klaus Deimling Germany 13 3.8k 0.4× 1.6k 0.3× 1.4k 0.4× 1.3k 0.4× 1.5k 1.2× 39 5.7k

Countries citing papers authored by Allan Peterson

Since Specialization
Citations

This map shows the geographic impact of Allan Peterson's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Allan Peterson with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Allan Peterson more than expected).

Fields of papers citing papers by Allan Peterson

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Allan Peterson. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Allan Peterson. The network helps show where Allan Peterson may publish in the future.

Co-authorship network of co-authors of Allan Peterson

This figure shows the co-authorship network connecting the top 25 collaborators of Allan Peterson. A scholar is included among the top collaborators of Allan Peterson based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Allan Peterson. Allan Peterson is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Peterson, Allan, et al.. (2019). EXISTENCE AND UNIQUENESS OF SOLUTIONS OF NABLA FRACTIONAL DIFFERENCE EQUATIONS. Dynamic Systems and Applications. 28(1). 2 indexed citations
2.
Du, Feifei, Lynn Erbe, Baoguo Jia, & Allan Peterson. (2018). Two asymptotic results of solutions for nabla fractional (q; h)-difference equations. TURKISH JOURNAL OF MATHEMATICS. 42(5). 2214–2242. 10 indexed citations
3.
Erbe, Lynn, Christopher S. Goodrich, Baoguo Jia, & Allan Peterson. (2017). Monotonicity results for delta fractional differences revisited. Mathematica Slovaca. 67(4). 895–906. 28 indexed citations
4.
Jia, Baoguo, et al.. (2016). Oscillation criteria for second order sublinear dynamic equations with oscillating coefficients. Applied Mathematics Letters. 61. 167–172. 5 indexed citations
5.
Jia, Baoguo, Lynn Erbe, & Allan Peterson. (2015). SOME RELATIONS BETWEEN THE CAPUTO FRACTIONAL DIFFERENCE OPERATORS AND INTEGER-ORDER DIFFERENCES. SHILAP Revista de lepidopterología. 21 indexed citations
6.
Peterson, Allan, Lynn Erbe, & Baoguo Jia. (2011). ASYMPTOTIC BEHAVIOR OF n-TH ORDER SUBLINEAR DYNAMIC EQUATIONS ON TIME SCALES. 15(2). 1 indexed citations
7.
Erbe, Lynn & Allan Peterson. (2007). Recent results concerning dynamic equations on time scales.. 27. 51–70. 3 indexed citations
8.
Erbe, Lynn, Allan Peterson, & Samir H. Saker. (2006). Oscillation criteria for second-order nonlinear delay dynamic equations. Journal of Mathematical Analysis and Applications. 333(1). 505–522. 102 indexed citations
9.
Erbe, Lynn, Allan Peterson, & Samir H. Saker. (2006). Hille and Nehari type criteria for third-order dynamic equations. Journal of Mathematical Analysis and Applications. 329(1). 112–131. 79 indexed citations
10.
Erbe, Lynn, et al.. (2005). Square integrability of Gaussian bells on time scales. Computers & Mathematics with Applications. 49(5-6). 871–883. 3 indexed citations
11.
Böhner, Martin & Allan Peterson. (2003). Advances in Dynamic Equations on Time Scales. Birkhäuser Boston eBooks. 1692 indexed citations breakdown →
12.
Peterson, Allan, et al.. (2003). Oscillation of an Euler-Cauchy dynamic equation. 2003. 423. 18 indexed citations
13.
Erbe, Lynn, Allan Peterson, & P. Řehák. (2002). Comparison theorems for linear dynamic equations on time scales. Journal of Mathematical Analysis and Applications. 275(1). 418–438. 61 indexed citations
14.
Böhner, Martin, Ravi P. Agarwal, Calvin D. Ahlbrandt, & Allan Peterson. (1999). Discrete Linear Hamiltonian Systems: A Survey. Dynamic Systems and Applications. 29 indexed citations
15.
Anderson, Douglas R., Richard I. Avery, & Allan Peterson. (1998). Three positive solutions to a discrete focal boundary value problem. Journal of Computational and Applied Mathematics. 88(1). 103–118. 48 indexed citations
16.
Henderson, Johnny & Allan Peterson. (1996). Boundary value problems for functional difference equations. Applied Mathematics Letters. 9(3). 57–61. 4 indexed citations
17.
Ahlbrandt, Calvin D. & Allan Peterson. (1994). The (n, n)-disconjugacy of a 2nth order linear difference equation. Computers & Mathematics with Applications. 28(1-3). 1–9. 25 indexed citations
18.
Hankerson, Darrel & Allan Peterson. (1988). A classification of the solutions of a difference equation according to their behavior at infinity. Journal of Mathematical Analysis and Applications. 136(1). 249–266. 8 indexed citations
19.
Peterson, Allan. (1969). A theorem of Aliev. Proceedings of the American Mathematical Society. 23(2). 364–366. 10 indexed citations
20.
Peterson, Allan. (1968). Distribution of zeros of solutions of linear differential equations of order four. University Microfilms eBooks. 1 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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