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Mathematics
Ireland
2026

D-Index & Metrics

Mathematics

D-Index
80
Citations
32073
World Ranking
144
National Ranking
1

Donal O'Regan 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 Donal O'Regan 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: 82 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: 1,594 publications — 100th percentile

100% of scientists in this discipline score the same or lower.

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

Donal O'Regan 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 Donal O'Regan 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: 137 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: 80 D-Index — 96th percentile

96% of scientists in this discipline score the same or lower.

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

Research.com Recognitions

  • 2026 - Research.com Mathematics in Ireland Leader Award
  • 2025 - Research.com Mathematics in Ireland Leader Award
  • 2011 - Member of the Royal Irish Academy

Overview

Donal O'Regan is affiliated with the National University of Ireland, Galway. Their research centers primarily in mathematics, with a significant focus on applied mathematics and related subfields. The scientist has an extensive publication record, contributing notably to topics such as nonlinear differential equations analysis, fractional differential equations solutions, and stability and controllability of differential equations.

The main fields of study for Donal O'Regan include:

  • Mathematics

Their work extends across several subfields, including:

  • Applied Mathematics
  • Modeling and Simulation
  • Computational Theory and Mathematics
  • Geometry and Topology
  • Numerical Analysis

Key research topics addressed in their publications are:

  • Nonlinear Differential Equations Analysis
  • Fractional Differential Equations Solutions
  • Stability and Controllability of Differential Equations
  • Fixed Point Theorems Analysis
  • Optimization and Variational Analysis
  • Differential Equations and Boundary Problems
  • Differential Equations and Numerical Methods

Donal O'Regan has authored numerous papers, among which the following recent works are notable:

  • The Nehari manifold for aψ-Hilfer fractionalp-Laplacian, 2021, Applicable Analysis
  • Final value problem for nonlinear time fractional reaction-diffusion equation with discrete data, 2020, Journal of Computational and Applied Mathematics
  • Positive Solutions for a Class of p-Laplacian Hadamard Fractional-Order Three-Point Boundary Value Problems, 2020, Mathematics
  • On well-posedness of the sub-diffusion equation with conformable derivative model, 2020, Communications in Nonlinear Science and Numerical Simulation
  • Controllability of stochastic nonlinear oscillating delay systems driven by the Rosenblatt distribution, 2020, Proceedings of the Royal Society of Edinburgh Section A Mathematics

The scientist frequently publishes in the following venues:

  • Mathematics
  • Nonlinear Analysis Modelling and Control
  • AIMS Mathematics
  • Applicable Analysis
  • Mathematical Methods in the Applied Sciences

Co-authorship collaborations have been established with several researchers, including:

  • Ravi P. Agarwal
  • Snezhana Hristova
  • JinRong Wang
  • Reza Saadati
  • Jiafa Xu

Donal O'Regan has also contributed to academic literature in the form of books. One recorded publication is titled "Topology and Approximate Fixed Points," published by Springer Nature in 2022.

In recognition of contributions to the field, Donal O'Regan was named a Member of the Royal Irish Academy in 2011.

Best Publications

  • Positive Solutions of Differential, Difference and Integral Equations

    Ravi P. Agarwal;Donal O'Regan;Patricia J. Y Wong

  • Dynamic equations on time scales: a survey

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

  • Generalized contractions in partially ordered metric spaces

    R P Agarwal;El Gebeily;D Oregan

  • Oscillation Theory for Difference and Functional Differential Equations

    Ravi P. Agarwal;Said R Grace;Donal O'Regan

  • Fixed Point Theory for Lipschitzian-type Mappings with Applications

    D. R. Sahu;Donal O'Regan;Ravi P. Agarwal

  • Infinite Interval Problems for Differential, Difference and Integral Equations

    Ravi P. Agarwal;Donal O'Regan

  • On a new class of abstract impulsive differential equations

    Eduardo Hernández;Donal O’Regan

  • Variational approach to impulsive differential equations

    Juan J. Nieto;Donal O’Regan

  • Oscillation Theory for Second Order Linear, Half-Linear, Superlinear and Sublinear Dynamic Equations

    Ravi P. Agarwal;Said R Grace;Donal O'Regan

  • Fixed point theorems for generalized contractions in ordered metric spaces

    Donal O'Regan;Adrian Petruşel

  • Discrete Oscillation Theory

    Ravi P. Agarwal;Martin. Bohner;Said R Grace;Donal O'Regan

  • Theory of singular boundary value problems

    Donal O'Regan

  • Oscillation criteria for second-order nonlinear neutral delay dynamic equations

    Ravi P. Agarwal;Donal O'Regan;S.H. Saker

  • Positive solutions for Dirichlet problems of singular nonlinear fractional differential equations

    Ravi P. Agarwal;Ravi P. Agarwal;Donal O'Regan;Svatoslav Staněk

  • Existence Theory for Nonlinear Integral and Integrodifferential Equations

    Donal O'Regan;Maria Meehan

  • Existence Theory for Nonlinear Ordinary Differential Equations

    Donal O'Regan

  • On recent developments in the theory of abstract differential equations with fractional derivatives

    Eduardo Hernández;Donal O’Regan;Krishnan Balachandran

  • Oscillation Theory for Second Order Dynamic Equations

    Ravi P. Agarwal;Said R. Grace;Donal O'Regan

  • Multiple positive solutions of singular and nonsingular discrete problems via variational methods

    Ravi P. Agarwal;Kanishka Perera;Donal O'Regan

  • Existence of solutions for semi-linear abstract differential equations with not instantaneous impulses

    Michelle Pierri;Donal O'regan;Vanessa Rolnik

Frequent Co-Authors

Ravi P. Agarwal
Ravi P. Agarwal Florida Institute of Technology
Patricia J. Y. Wong
Patricia J. Y. Wong Nanyang Technological University
Daqing Jiang
Daqing Jiang China University of Petroleum, Beijing
JinRong Wang
JinRong Wang Guizhou University
Samir H. Saker
Samir H. Saker Mansoura University
Said R. Grace
Said R. Grace Cairo University
Erdal Karapınar
Erdal Karapınar Atilim University
V. Lakshmikantham
V. Lakshmikantham Florida Institute of Technology
Nikolaos S. Papageorgiou
Nikolaos S. Papageorgiou National Technical University of Athens
Reza Saadati
Reza Saadati Iran University of Science and Technology

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