World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
41
Citations
22592
World Ranking
1838
National Ranking
780

Allan Peterson publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where Allan Peterson sits on this spectrum.

42–46 publications: 3 scientists 47–51 publications: 5 scientists 52–56 publications: 7 scientists 57–61 publications: 20 scientists 62–66 publications: 14 scientists 67–71 publications: 25 scientists 72–76 publications: 19 scientists 77–81 publications: 35 scientists 82–86 publications: 50 scientists 87–91 publications: 60 scientists 92–96 publications: 86 scientists 97–101 publications: 84 scientists 102–106 publications: 83 scientists 107–111 publications: 90 scientists 112–116 publications: 99 scientists 117–121 publications: 90 scientists 122–126 publications: 91 scientists 127–131 publications: 109 scientists 132–136 publications: 110 scientists 137–141 publications: 98 scientists 142–146 publications: 112 scientists 147–151 publications: 102 scientists 152–156 publications: 88 scientists 157–161 publications: 106 scientists 162–166 publications: 83 scientists 167–171 publications: 102 scientists 172–176 publications: 77 scientists 177–181 publications: 81 scientists 182–186 publications: 78 scientists 187–191 publications: 71 scientists 192–196 publications: 92 scientists 197–201 publications: 64 scientists 202–206 publications: 69 scientists 207–211 publications: 64 scientists 212–216 publications: 62 scientists 217–221 publications: 58 scientists 222–226 publications: 53 scientists 227–231 publications: 50 scientists 232–236 publications: 46 scientists 237–241 publications: 46 scientists 242–246 publications: 46 scientists 247–251 publications: 43 scientists 252–256 publications: 29 scientists 257–261 publications: 45 scientists 262–266 publications: 30 scientists 267–271 publications: 33 scientists 272–276 publications: 34 scientists 277–281 publications: 30 scientists 282–286 publications: 31 scientists 287–291 publications: 21 scientists 292–296 publications: 34 scientists 297–301 publications: 26 scientists 302–306 publications: 10 scientists 307–311 publications: 17 scientists 312–316 publications: 23 scientists 317–321 publications: 13 scientists 322–326 publications: 16 scientists 327–331 publications: 26 scientists 332–336 publications: 13 scientists 337–341 publications: 13 scientists 342–346 publications: 16 scientists 347–351 publications: 17 scientists 352–356 publications: 12 scientists 357–361 publications: 18 scientists 362–366 publications: 18 scientists 367–371 publications: 9 scientists 372–376 publications: 11 scientists 377–381 publications: 8 scientists 382–386 publications: 8 scientists 387–391 publications: 9 scientists 392–396 publications: 9 scientists 397–401 publications: 8 scientists 402–406 publications: 11 scientists 407–411 publications: 6 scientists 412–416 publications: 6 scientists 417–421 publications: 9 scientists 422–426 publications: 8 scientists 427–431 publications: 5 scientists 432–436 publications: 8 scientists 437–441 publications: 8 scientists 442–446 publications: 4 scientists 447–451 publications: 4 scientists 452–456 publications: 4 scientists 457–461 publications: 2 scientists 462–466 publications: 2 scientists 467–471 publications: 4 scientists 472–476 publications: 3 scientists 477–481 publications: 3 scientists 482–486 publications: 6 scientists 487–491 publications: 3 scientists 492–496 publications: 5 scientists 497–501 publications: 5 scientists 502–506 publications: 1 scientists 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientists 522–526 publications: 3 scientists 527–531 publications: 1 scientists 532–536 publications: 4 scientists 537+ publications: 100 scientists
42 publications 537+

This scientist: 197 publications — 61st percentile

61% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 537 publications or more.

Allan Peterson D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where Allan Peterson sits on this spectrum.

30 D-Index: 174 scientists 31 D-Index: 151 scientists 32 D-Index: 174 scientists 33 D-Index: 117 scientists 34 D-Index: 136 scientists 35 D-Index: 127 scientists 36 D-Index: 145 scientists 37 D-Index: 153 scientists 38 D-Index: 150 scientists 39 D-Index: 150 scientists 40 D-Index: 138 scientists 41 D-Index: 136 scientists 42 D-Index: 93 scientists 43 D-Index: 108 scientists 44 D-Index: 115 scientists 45 D-Index: 112 scientists 46 D-Index: 103 scientists 47 D-Index: 75 scientists 48 D-Index: 59 scientists 49 D-Index: 67 scientists 50 D-Index: 60 scientists 51 D-Index: 57 scientists 52 D-Index: 59 scientists 53 D-Index: 62 scientists 54 D-Index: 60 scientists 55 D-Index: 50 scientists 56 D-Index: 42 scientists 57 D-Index: 54 scientists 58 D-Index: 50 scientists 59 D-Index: 42 scientists 60 D-Index: 41 scientists 61 D-Index: 35 scientists 62 D-Index: 40 scientists 63 D-Index: 21 scientists 64 D-Index: 31 scientists 65 D-Index: 27 scientists 66 D-Index: 29 scientists 67 D-Index: 19 scientists 68 D-Index: 25 scientists 69 D-Index: 17 scientists 70 D-Index: 18 scientists 71 D-Index: 12 scientists 72 D-Index: 14 scientists 73 D-Index: 13 scientists 74 D-Index: 18 scientists 75 D-Index: 9 scientists 76 D-Index: 11 scientists 77 D-Index: 10 scientists 78 D-Index: 9 scientists 79 D-Index: 16 scientists 80 D-Index: 12 scientists 81 D-Index: 10 scientists 82 D-Index: 5 scientists 83 D-Index: 5 scientists 84 D-Index: 13 scientists 85 D-Index: 6 scientists 86+ D-Index: 99 scientists
30 D-Index 86+

This scientist: 41 D-Index — 49th percentile

49% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

Overview

Allan Peterson is affiliated with the University of Nebraska-Lincoln in the United States. Their research primarily focuses on mathematics and engineering, with a particular emphasis on modeling and simulation, applied mathematics, control and systems engineering, numerical analysis, and geometry and topology.

Their work extensively addresses topics related to fractional differential equations, nonlinear differential equations, and advanced control systems. These topics include:

  • Fractional Differential Equations Solutions
  • Nonlinear Differential Equations Analysis
  • Advanced Control Systems Design
  • Differential Equations and Numerical Methods
  • Differential Equations and Boundary Problems
  • Advanced Differential Equations and Dynamical Systems

Recent publications by Allan Peterson include:

  • Convergence of approximate solutions to nonlinear Caputo nabla fractional difference equations with boundary conditions, 2020, Electronic Journal of Differential Equations
  • Lyapunov functions for fractional order h-difference systems, 2021, Filomat
  • Lyapunov functions for fractional order h-difference systems, 2020, arXiv (Cornell University)

They have frequently published in the following venues:

  • Electronic Journal of Differential Equations
  • Filomat
  • arXiv (Cornell University)

Allan Peterson has collaborated with several co-authors over their career. These include:

  • Baoguo Jia
  • Lynn Erbe
  • Xiang Liu
  • Scott Gensler
  • Wei Hu

Their contributions span areas that combine theoretical and applied aspects of differential equations, focusing on the development and analysis of solutions to fractional and nonlinear problems, as well as the design of control systems. The research integrates methods of numerical analysis with advanced modeling techniques relevant to systems engineering.

Best Publications

  • Dynamic Equations on Time Scales: An Introduction with Applications

    Martin Bohner;Allan C. Peterson

  • Advances in dynamic equations on time scales

    Martin Bohner;Allan Peterson

  • Dynamic Equations on Time Scales

    Martin Bohner;Allan Peterson

  • Difference Equations: An Introduction with Applications

    Walter G. Kelley;Allan C. Peterson

  • Dynamic equations on time scales: a survey

    Ravi Agarwal;Martin Bohner;Donal O'Regan;Allan Peterson

  • Discrete Fractional Calculus

    Christopher Goodrich;Allan C. Peterson

  • The Theory of Differential Equations: Classical and Qualitative

    Walter G. Kelley;Allan C. Peterson

  • Inequalities on Time Scales: A Survey

    Ravi P. Agarwal;Martin Bohner;Allan Peterson

  • Three positive fixed points of nonlinear operators on ordered banach spaces

    R.I. Avery;A.C. Peterson

  • Discrete Hamiltonian Systems: Difference Equations, Continued Fractions, and Riccati Equations

    Calvin D. Ahlbrandt;Allan C. Peterson

  • Positive solutions for a nonlinear differential equation on a measure chain

    L Erbe;A Peterson

  • Oscillation criteria for second-order nonlinear delay dynamic equations

    L. Erbe;A. Peterson;S.H. Saker

  • Discrete Hamiltonian Systems

    Calvin D. Ahlbrandt;Allan C. Peterson

  • OSCILLATION CRITERIA FOR SECOND-ORDER NONLINEAR DYNAMIC EQUATIONS ON TIME SCALES

    Lynn Erbe;Allan Peterson;S. H. Saker

  • The Theory of Differential Equations

    Walter G. Kelley;Allan C. Peterson

  • Oscillation for Nonlinear Second Order Dynamic Equations on a Time Scale

    Martin Bohner;Lynn Erbe;Allan Peterson

  • Hille and Nehari type criteria for third-order dynamic equations

    L. Erbe;A. Peterson;S.H. Saker

  • Asymptotic behavior of solutions of a third-order nonlinear dynamic equation on time scales

    L. Erbe;A. Peterson;S. H. Saker

  • Oscillation criteria for nonlinear damped dynamic equations on time scales

    Lynn Erbe;Taher S. Hassan;Taher S. Hassan;Allan Peterson

  • Comparison theorems for linear dynamic equations on time scales

    Lynn Erbe;Allan Peterson;Pavel Řehák;Pavel Řehák

Frequent Co-Authors

Martin Bohner
Martin Bohner Missouri University of Science and Technology
Samir H. Saker
Samir H. Saker Mansoura University
Christopher S. Goodrich
Christopher S. Goodrich University of New South Wales
Thabet Abdeljawad
Thabet Abdeljawad Prince Sultan University
Johnny Henderson
Johnny Henderson Baylor University
Ravi P. Agarwal
Ravi P. Agarwal Florida Institute of Technology
Donal O'Regan
Donal O'Regan University of Galway

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