D-Index & Metrics Best Publications

Allan Peterson

University of Nebraska–Lincoln
United States

D-Index & Metrics D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines.

Discipline name Citations Publications World Ranking National Ranking

Mathematics D-index 36 Citations 20,550 189 World Ranking 1717 National Ranking 742

Overview

What is he best known for?

The fields of study Allan Peterson is best known for:

Differential equation
Mathematical analysis
Partial differential equation

Applied mathematics is closely attributed to Fractional calculus in his work. Allan Peterson regularly ties together related areas like Applied mathematics in his Fractional calculus studies. His research on Mathematical analysis frequently connects to adjacent areas such as Uniqueness. Many of his studies on Uniqueness apply to Mathematical analysis as well. Pure mathematics is frequently linked to Algebra over a field in his study. His studies link Pure mathematics with Algebra over a field. Differential equation and Partial differential equation are two areas of study in which Allan Peterson engages in interdisciplinary research. His multidisciplinary approach integrates Partial differential equation and Ordinary differential equation in his work. Allan Peterson undertakes interdisciplinary study in the fields of Ordinary differential equation and Differential equation through his research.

His most cited work include:

Discrete Fractional Calculus (324 citations)
Discrete Hamiltonian Systems (105 citations)
The Theory of Differential Equations (78 citations)

What are the main themes of his work throughout his whole career to date

Allan Peterson integrates many fields in his works, including Mathematical analysis and Combinatorics. He integrates many fields, such as Combinatorics and Mathematical analysis, in his works. Allan Peterson integrates Applied mathematics with Pure mathematics in his research. His multidisciplinary approach integrates Pure mathematics and Applied mathematics in his work. In his papers, Allan Peterson integrates diverse fields, such as Differential equation and Partial differential equation. With his scientific publications, his incorporates both Partial differential equation and Ordinary differential equation. Allan Peterson carries out multidisciplinary research, doing studies in Ordinary differential equation and Differential equation. In his works, he conducts interdisciplinary research on Nonlinear system and Lyapunov function. His Lyapunov function study frequently draws parallels with other fields, such as Quantum mechanics.

Allan Peterson most often published in these fields:

Mathematical analysis (90.00%)
Applied mathematics (60.00%)
Differential equation (50.00%)

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Best Publications

Dynamic Equations on Time Scales: An Introduction with Applications

Martin Bohner;Allan C. Peterson.
(2001)

4795 Citations

Advances in dynamic equations on time scales

Martin Bohner;Allan Peterson.
(2003)

4006 Citations

Dynamic Equations on Time Scales

Martin Bohner;Allan Peterson.
(2001)

3191 Citations

Difference Equations: An Introduction with Applications

Walter G. Kelley;Allan C. Peterson.
(2000)

1851 Citations

Dynamic equations on time scales: a survey

Ravi Agarwal;Martin Bohner;Donal O'Regan;Allan Peterson.
Journal of Computational and Applied Mathematics (2002)

785 Citations

Discrete Fractional Calculus

Christopher Goodrich;Allan C. Peterson.
(2016)

469 Citations

The Theory of Differential Equations: Classical and Qualitative

Walter G. Kelley;Allan C. Peterson.
(2010)

423 Citations

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

Calvin D. Ahlbrandt;Allan C. Peterson.
(1996)

395 Citations

Three positive fixed points of nonlinear operators on ordered banach spaces

R.I. Avery;A.C. Peterson.
Computers & Mathematics With Applications (2001)

387 Citations

Inequalities on Time Scales: A Survey

Ravi P. Agarwal;Martin Bohner;Allan Peterson.
Mathematical Inequalities & Applications (2001)

382 Citations

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Frequent Co-Authors

External Links

Personal Website for Allan Peterson