2011 - Member of the Royal Irish Academy
The scientist’s investigation covers issues in Mathematical analysis, Boundary value problem, Differential equation, Nonlinear system and Pure mathematics. His Mathematical analysis study focuses mostly on Singular solution, Fixed-point theorem, Order, Numerical partial differential equations and C0-semigroup. His studies deal with areas such as Eigenvalues and eigenvectors and Applied mathematics as well as Boundary value problem.
His Differential equation study incorporates themes from Initial value problem, Variable and Existence theorem. His work deals with themes such as Dynamical systems theory, Integral equation and Monotone polygon, which intersect with Nonlinear system. His biological study spans a wide range of topics, including Volterra integral equation, Type and Constant.
Donal O'Regan focuses on Mathematical analysis, Pure mathematics, Boundary value problem, Nonlinear system and Fixed-point theorem. His is doing research in Differential equation, Singular solution, Order, Integral equation and Banach space, both of which are found in Mathematical analysis. His Pure mathematics research integrates issues from Class and Type.
His Boundary value problem research includes elements of Combinatorics and Ordinary differential equation. His Nonlinear system research incorporates elements of Sign and Applied mathematics. His Fixed-point theorem research is included under the broader classification of Discrete mathematics.
His main research concerns Applied mathematics, Mathematical analysis, Pure mathematics, Nonlinear system and Differential equation. Donal O'Regan interconnects Initial value problem, Lyapunov function and Stability in the investigation of issues within Applied mathematics. His Mathematical analysis study frequently draws connections between adjacent fields such as Dynamic equation.
His Pure mathematics study combines topics in areas such as Class and Type. His research is interdisciplinary, bridging the disciplines of Inequality and Type. His study in Nonlinear system is interdisciplinary in nature, drawing from both Order, Function and Uniqueness.
His primary areas of investigation include Applied mathematics, Nonlinear system, Mathematical analysis, Fractional differential and Differential equation. His work carried out in the field of Applied mathematics brings together such families of science as Initial value problem, Partial differential equation, Uniqueness and Stability. His work deals with themes such as Discrete mathematics, Controllability, Boundary value problem, Function and Order, which intersect with Nonlinear system.
Space, p-Laplacian, Operator, Linear differential equation and C0-semigroup are among the areas of Mathematical analysis where Donal O'Regan concentrates his study. His Fractional differential research also works with subjects such as
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.
Positive Solutions of Differential, Difference and Integral Equations
Ravi P. Agarwal;Donal O'Regan;Patricia J. Y Wong.
Generalized contractions in partially ordered metric spaces
R P Agarwal;El Gebeily;D Oregan.
Applicable Analysis (2008)
Dynamic equations on time scales: a survey
Ravi Agarwal;Martin Bohner;Donal O'Regan;Allan Peterson.
Journal of Computational and Applied Mathematics (2002)
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.
Variational approach to impulsive differential equations
Juan J. Nieto;Donal O’Regan.
Nonlinear Analysis-real World Applications (2009)
Fixed point theorems for generalized contractions in ordered metric spaces
Donal O'Regan;Adrian Petruşel.
Journal of Mathematical Analysis and Applications (2008)
Theory of singular boundary value problems
On a new class of abstract impulsive differential equations
Eduardo Hernández;Donal O’Regan.
Proceedings of the American Mathematical Society (2012)
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