A
Allan Peterson
Researcher at University of Nebraska–Lincoln
Publications - 171
Citations - 13452
Allan Peterson is an academic researcher from University of Nebraska–Lincoln. The author has contributed to research in topics: Differential equation & Nonlinear system. The author has an hindex of 37, co-authored 171 publications receiving 12557 citations. Previous affiliations of Allan Peterson include Florida State University College of Arts and Sciences & Minnesota State University Moorhead.
Papers
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Book
Dynamic Equations on Time Scales: An Introduction with Applications
Martin Bohner,Allan Peterson +1 more
TL;DR: The Time Scales Calculus as discussed by the authors is a generalization of the time-scales calculus with linear systems and higher-order linear equations, and it can be expressed in terms of linear Symplectic Dynamic Systems.
BookDOI
Advances in dynamic equations on time scales
Martin Bohner,Allan Peterson +1 more
TL;DR: Agarwal et al. as discussed by the authors proposed a topological approach for solving two-point boundary value problems on infinite-intervals, using the time scales of the time-scales calculus.
Book
Difference Equations: An Introduction with Applications
Walter G. Kelley,Allan Peterson +1 more
TL;DR: The Difference Calculus of Variations as discussed by the authors is a generalization of the Difference calculus of Difference Equations (DCE) of the calculus of Variants (CDE) of Difference Functions.
Journal ArticleDOI
Dynamic equations on time scales: a survey
TL;DR: In this article, the authors give an introduction to the time scales calculus, and present various properties of the exponential function on an arbitrary time scale, and use it to solve linear dynamic equations of first order.