D
Donal O'Regan
Researcher at National University of Ireland, Galway
Publications - 1373
Citations - 22900
Donal O'Regan is an academic researcher from National University of Ireland, Galway. The author has contributed to research in topics: Boundary value problem & Fixed-point theorem. The author has an hindex of 60, co-authored 1303 publications receiving 20521 citations. Previous affiliations of Donal O'Regan include King Abdulaziz University & University of Waterloo.
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Positive Solutions of Differential, Difference and Integral Equations
TL;DR: In this article, the authors present a Coupled System of Boundary Value Problems (CSV) for the first order initial value problems. But they do not address the second order value problems, i.e., the (n,p) boundary value problem.
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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.
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Generalized contractions in partially ordered metric spaces
TL;DR: In this article, the authors present some fixed point results for monotone operators in a metric space endowed with a partial order using a weak generalized contraction-type assumption, which is similar to the one used in this paper.
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Variational approach to impulsive differential equations
Juan J. Nieto,Donal O'Regan +1 more
TL;DR: In this paper, a new approach via variational methods and critical point theory is presented to obtain the existence of solutions to impulsive problems. But this approach is restricted to a linear Dirichlet problem and the solutions are found as critical points of a functional.
Book
Oscillation Theory for Difference and Functional Differential Equations
TL;DR: In this paper, the authors present a model for Oscillation of System of Equations in linear and ordered spaces, including Oscillations in Archimedean Spaces, Oscillators in Ordered Sets, Partial Difference Equations with Continuous Variables, and System of Higher Order Differential Equations.