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Mathematics

D-Index
41
Citations
22592
World Ranking
1838
National Ranking
779

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
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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