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Mark A. McKibben
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Assistant Professor, Department of Mathematics,
West Chester University of Pennsylvania
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Articles
Books
Articles
(11)
Article
On Approximately Controlled Systems
Applied and Computational Mathematics (2016)
Nazim I. Mahmudov and Mark A. McKibben
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Article
Control, Stability, and Qualitative Theory of Dynamical Systems 2014
Abstract and Applied Analysis (2015)
Nazim I. Mahmudov, Mark A. McKibben, Sakthivel Rathinasamy and Yong Ren
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Article
Abstract Functional Stochastic Evolution Equations Driven by Fractional Brownian Motion
Abstract and Applied Analysis (2014)
Mark A. McKibben and Micah Webster
We investigate a class of abstract functional stochastic evolution equations driven by a fractional Brownianmotion in a real separable Hilbert ...
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Article
Control, Stability, and Qualitative Theory of Dynamical Systems
Abstract and Applied Analysis (2013)
Nazim Idrisoglu Mahmudov, Mark A. McKibben, Sakthivel Rathinasamy and Yong Ren
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Article
Measure-Dependent Stochastic Nonlinear Beam Equations Driven by Fractional Brownian Motion
International Journal of Stochastic Analysis (2013)
Mark A. McKibben
We study a class of nonlinear stochastic partial differential equations arising in themathematicalmodeling of the transverse motion of an extensible ...
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Article
On a class of backward McKean-Vlasov stochastic equations in Hilbert ...
Dynamic Systems and Applications (2007)
Nazim I. Mahmudov and Mark A. McKibben
This investigation is devoted to the study of a class of abstract first-order backward McKean-Vlasov stochastic evolution equations in a ...
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Article
On backward stochastic evolution equations in Hilbert space and optimal ...
Nonlinear Analysis Series A: Theory, Methods, and Applications (2007)
Nazim I. Mahmudov and Mark A. McKibben
In this paper a new result on the existence and uniqueness of the adapted solution to a backward stochastic evolution ...
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Article
Abstract semilinear Itó-Volterra integro-differential stochastic evolution equations
Journal of Applied Mathematics and Stochastic Analysis (2006)
David N. Keck and Mark A. McKibben
We consider a class of abstract semilinear stochastic Volterra integrodifferential equations in a real separable Hilbert space. The global existence ...
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Article
Abstract second-order damped McKean-Vlasov stochastic evolution equations
Stochastic Analysis and Applications (2006)
N. I. Mahmudov and Mark A. McKibben
We establish results concerning the global existence, uniqueness, approximate and exact controllability of mild solutions for a class of abstract ...
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Article
On state-dependent delay partial neutral functional–differential equations
Applied Mathematics and Computation (2006)
Eduardo Hernandez M. and Mark A. McKibben
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Article
Some Comments on: Existence of Solutions of Abstract Nonlinear Second-Order ...
Computers and Mathematics with Applications (2005)
Eduardo Hernandez and Mark A. McKibben
We establish the existence of mild solutions for a class of abstract second-order partial neutral functional integro-differential equations with infinite ...
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Books
(3)
Book
Differential Equations with MATLAB: Exploration, Applications, and Theory
College of Arts & Sciences Faculty Books (2014)
Mark A. McKibben and Micah Webster
A unique textbook for an undergraduate course on mathematical modeling, Differential Equations with MATLAB: Exploration, Applications, and Theory provides students ...
Book
Discovering Evolution Equations with Applications: Volume 2-Stochastic Equations
College of Arts & Sciences Faculty Books (2011)
Mark A. McKibben
Most existing books on evolution equations tend either to cover a particular class of equations in too much depth for ...
Book
Discovering Evolution Equations with Applications: Volume 1-Deterministic Equations
College of Arts & Sciences Faculty Books (2010)
Mark A. McKibben
Discovering Evolution Equations with Applications: Volume 1-Deterministic Equations provides an engaging, accessible account of core theoretical results of evolution equations ...