Mark McKibben - Curriculum Vitae August 2016

Henriquez, H., Hernandez, E., and McKibben, M., Existence results for abstract impulsive second-order neutral functional differential equations, Nonlinear Analysis and Applications Serie

Mark A McKibben, Ph.D.

Personal Data

Office 113

Education

Ph D. Ohio University, June 1999

Mathematics Dissertation: Existence Theorems for Nonlinear Functional Differential Equations

Advisor: Sergiu Aizicovici, Ph.D

M.S. Ohio University, Nov 1996

Mathematics

B.S. Ohio University, Jan 1995

Honors Tutorial College, Mathematics Summa Cum Laude

Professional Experience

Associate Professor of Mathematics

West Chester University of PA, West Chester, Pennsylvania August 2013 -present

Professor of Mathematics and Computer Science (tenured)

Goucher College, Baltimore, Maryland June 2011 – June 2013

Associate Professor of Mathematics and Computer Science (tenured)

Goucher College, Baltimore, Maryland June 2005 – June

2011

Department Chair July 2006 – June 2009

Assistant Professor of Mathematics and Computer Science Sept 1999 –

June 2005

Goucher College, Baltimore, Maryland

-June 1999

Ohio University, Athens, Ohio

Scholarly Publications

Journal Articles: The corresponding author for each paper appears in BOLD.

1 Mahmudov, N.I & McKibben, M.A., On approximately controllable systems, to appear in

Applied and Computational Mathematics in volume 15, number 3, 2016.

2 Lakhel, E & McKibben, M.A., Controllability of neutral stochastic integro-differential

evolution equations driven by a fractional Brownian motion, to appear in Afrika Matematika

3 McKibben, M.A., General existence results for abstract McKean-Vlasov stochastic

equations with variable delay, Far East Journal of Mathematical Sciences, volume 99,

number 9, 1335 – 1370, May 2016

4 McKibben, M.A & Webster, M, Abstract Stochastic Integrodifferential Delay Equations

Driven by Fractional Brownian Motion, Far East Journal of Mathematical Sciences, volume

96, number 6, 757 – 800, March 2015

5 Mahmudov, N.I & McKibben, M.A., On the approximate controllability of fractional

evolution equations with generalized Riemann-Liouville fractional derivative, in Special Issue “Recent Developments on Fixed Point Theory in Function Spaces and Applications

to Control and Optimization Problems,” Journal of Function Spaces, vol 2015, Article ID

263823, 9 pages, 2015 doi:10.1155/2015/263823, 2015 (open access article)

6 McKibben, M.A & Webster, M., Abstract Functional Stochastic Evolution Equations

Driven by Fractional Brownian Motion, Abstract and Applied Analysis, vol 2014, Article ID

516853, 14 pages, doi:10.1155/2014/516853, 2014 (open access article)

7 McKibben, M.A., Measure-Dependent Stochastic Nonlinear Beam Equations Driven by

Fractional Brownian Motion, International Journal of Stochastic Analysis, vol 2013, Article

ID 868301, 16 pages, 2013 doi:10.1155/2013/868301 (open access article)

8 Henriquez, H., Hernandez, E., and McKibben, M., Existence results for abstract

impulsive second-order neutral functional differential equations, Nonlinear Analysis and

Applications Series A: Theory, Methods, and Applications, vol 70, no 1, 2736-2751, (April

2009)

9 Henriquez, H., Hernandez, E and McKibben, M., Existence of solutions of second-order

partial neutral functional differential equations with unbounded delay, Integral Equations

and Operator Theory, vol 6 no 2, 191-217, (April 2009)

10.Henriquez, H., Hernandez, E., and McKibben, M., Existence results for partial neutral

functional differential equations with state-dependent delay, Mathematical and

Computer Modeling, vol 49, 5-6, 1260-1267, (March 2009)

11.Mahmudov, N.I and McKibben, M., On a class of backward McKean-Vlasov stochastic

equations in Hilbert space: Existence and convergence properties, Dynamic Systems and

Appl., vol 16, (Dec 2007), 643 – 664

12.Hernandez, E., Keck, D and McKibben, M., On a class of measure-dependent stochastic

evolution equations driven by fBm, Journal of Applied Mathematics and Stochastic

Analysis, vol 2007 (Oct 2007), Article ID 69747, 26 pages.

13.Mahmudov, N.I and McKibben, M., On backward stochastic evolution equations in

Hilbert space and optimal control, Nonlinear Analysis Series A: Theory, Methods, and

Applications, vol 67, no 4, (August 2007), 1262 - 1274.

14.Hernandez, E and McKibben, M., On state-dependent partial neutral

functional-differential equations, Applied Mathematics and Computation, vol 186, no 1, (March

2007), 294 - 301

15.Keck, D and McKibben, M., Abstract semilinear Itó-Volterra integro-differential

stochastic evolution equations, vol 2006 (Nov 2006), Journal of Applied Mathematics

and Stochastic Analysis, Article ID 45253, 22 pages.

16.Mahmudov, N.I and McKibben, M., Approximate controllability for second-order neutral

stochastic evolution equations, Dynamics of Continuous, Discrete and Impulsive Systems

Series B: Applications &Algorithms 1, vol 13, no 5, (Oct 2006), 619 - 634.

17.Mahmudov, N.I and McKibben, M., McKean-Vlasov Stochastic differential equations in

Hilbert spaces under Caratheodory conditions, Dynamic Systems and Appl., vol 15, (Oct.

2006), 357 - 374

18.Mahmudov, N.I and McKibben, M., Abstract second-order damped McKean-Vlasov

stochastic evolution equations, Stochastic Analysis and Applications, vol 24, no 2, (April

2006), 303 – 328

19.Hernandez, E and McKibben, M., Some comments on: Existence of solutions of

abstract nonlinear second-order neutral functional integro-differential equations, Computers and Mathematics with Applications, vol 50, no 8-9, (Nov 2005), 655 - 669.

20.Keck, D and McKibben, M., Abstract stochastic integrodifferential delay equations,

Journal of Applied Mathematics and Stochastic Analysis, vol 2005 no 3, (Sept 2005),

275 - 305

21.McKibben, M., Second-order neutral stochastic evolution equations with heredity,

Journal of Applied Mathematics and Stochastic Analysis, vol 17, no 2 (Sept 2004), 177

-192.

22.McKibben, M., Second-order damped functional stochastic evolution equations in

Hilbert space, Dynamic Systems and Applications, vol 12, no 3 – 4 (Dec 2003), 467 –

488

23.Keck, D and McKibben, M., Functional integro-differential stochastic evolution

equations in Hilbert space, Journal of Applied Mathematics and Stochastic Analysis, vol.

16, (Nov 2003), 1 – 21

24.Keck, D and McKibben, M., On a McKean-Vlasov stochastic integro-differential

evolution equation of Sobolev type, Stochastic Analysis and Applications, vol 21, no 5,

(Oct 2003), 1115 – 1139

25.McKibben, M., Approximate controllability results for a class of abstract second-order

functional evolution equations, Journal of Optimization Theory and Applications, vol 117,

no 2, (May 2003), 397 – 414

26.McKibben, M., A note on the approximate controllability of a class of abstract

semi-linear evolution equations, Far East Journal of Applied Mathematics, vol 5, issue 2, (May

2002), 113 - 133

27.Aizicovici, S., McKibben, M., and Reich, S., Anti-periodic solutions to non-monotone

evolution equations with discontinuous nonlinearities, Nonlinear Analysis, vol 43, no 2,

(Jan 2001), 233 - 251

28.McKibben, M., Controllability of abstract evolution systems with nonlocal initial data.

Far East Journal of Applied Mathematics, vol 4, no 3, (Nov 2000), 317 – 343.

29.McKibben, M., On some nonlinear nonlocal autonomous Cauchy problems in Banach

spaces, Far East Journal of Mathematical Sciences, vol 2., no 4, (July 2000), 555 - 575.

30.Aizicovici, S., Grasselli, M., and McKibben, M., A hyperbolic integro-differential system

related to phase field models, Advances in Mathematical Sciences and Applications, vol.

10, no 2 (2000), 601 – 625 (Also is Technical Report #367P, Politecnico di Milano, 2000.)

31.Aizicovici, S and McKibben, M., Existence results for a class of abstract nonlocal

Cauchy problems, Nonlinear Analysis, vol 39, issue 5, (Feb 2000), 649 - 668.

32.Aizicovici, S and McKibben, M., Semi-linear Volterra integro-differential equations with

nonlocal initial conditions, Abstract and Applied Analysis, vol 4, issue 2, (1999), 127 –

139

33.McKibben, M., Nonlocal Cauchy problems for abstract functional differential equations,

presented in International Workshop on Differential Equations & Optimal Control, Ohio

University, 1999

Books:

1 Brannan, J and Boyce, W (with M.A McKibben), Differential Equations with Boundary

Value Problems: An Introduction to Modern Methods and Applications, J Wiley and Sons, Inc., December 2014

2 McKibben, M.A and Webster, M., Differential Equations with MATLAB: Exploration,

Applications, and Theory, Textbooks in Mathematics Series, CRC Press, September 2014.

3 McKibben, M., Discovering Evolution Equations with Applications: Volume 2 – Stochastic

Equations, CRC Press/Chapman & Hall, July 2011.

4 McKibben, M., Discovering Evolution Equations with Applications: Volume 1 –

Deterministic

Equations, CRC Press/Chapman & Hall, July 2010.

5 McKibben, M., Rosanbalm, S., and Keck, D., Algebra, Third Edition, J Wiley and Sons, Inc.,

September 2003 (First edition was published in September 1999, second edition in September 2001)

6 McKibben, M., Existence Theorems for Nonlinear Functional Differential Equations, UMI

publishers, (July 1999), dissertation.

Edited Journal Special Issues, Edited Volumes, and Editorial Articles:

1 N I Mahmudov, M A McKibben, S Rathinasamy, and Y Ren (Eds.), Control, Stability, and

Qualitative Theory of Dynamical Systems - II [Special Issue], Abstract and Applied Analysis, Feb 2015.

2 Mahmudov, N.I., McKibben, M.A., Rathinasamy, S., and Ren, Y., Control, Stability, and

Qualitative Theory of Dynamical Systems - II: Editorial, Abstract and Applied Analysis,

Special Issue on CQST, 1-2, February 2015

3 N I Mahmudov, M A McKibben, S Rathinasamy, and Y Ren (Eds.), Control, Stability, and

Qualitative Theory of Dynamical Systems [Special Issue], Abstract and Applied Analysis,

Nov 2013

4 Mahmudov, N.I., McKibben, M.A., Rathinasamy, S., and Ren, Y., Control, Stability, and

Qualitative Theory of Dynamical Systems: Editorial, Abstract and Applied Analysis, Special

Issue on CQST, 1-2, Nov 2013

Textbook Supplements:

1 “College Algebra,” Cynthia Young, J Wiley & Sons:

 Second Edition – November 2008

 Fourth Edition – forthcoming December 2016

 Fourth Edition – forthcoming December 2016

2 “Trigonometry,” Cynthia Young, J Wiley & Sons:

 Fourth Edition – forthcoming December 2016

 Fourth Edition – forthcoming December 2016

3 “College Algebra and Trigonometry,” Cynthia Young, J Wiley & Sons:

 Fourth Edition – forthcoming December 2016

 Fourth Edition – forthcoming December 2016

4 “Pre-Calculus,” Cynthia Young, J Wiley & Sons:

 Second Edition – January 2014

 Second Edition – January 2014

5 “Statistics: Principles and Methods,” Johnson & Bhattacharrya, J Wiley & Sons:

 Seventh Edition – September 2013

 Seventh Edition – September 2013

o Author of Excel Manual to Accompany Text

6 “Statistics: Principles and Methods – International Version,” Johnson &

Bhattacharrya, J Wiley & Sons:

7 “Introductory Statistics,” Mann, J Wiley & Sons:

 Ninth Edition – January 2016

 Ninth Edition – January 2016

8 “Statistics: From Data to Decision,” Watkins & Scheaffer, J Wiley & Sons:

9 “1001 Algebra Problems,” M A McKibben, Learning Express:

o Author of Second Edition – January 2015

10.“501 Calculus Questions,” M A McKibben, Learning Express:

11 “Mathematics for Elementary Education Majors,” Musser & Peterson, J Wiley

& Sons:

12 “Analytic Trigonometry,” Barnett, Ziegler, & Byleen, 10e, J Wiley & Sons:

Conference Talks, Colloquia, & Workshop Presentations

1. Abstract Fractional Stochastic Evolution Equations with Applications to Nonlinear Beam Dynamics and Stochastic Wave Equations, 11th American Institute of Mathematical Sciences Conference on Dynamical Systems, Differential Equations and Applications,

Symposium on Infinite Dimensional Stochastic Systems and Applications, Orlando, FL,

July 2016 – invited symposium talk

2. Holey Rocks, Indecisive Fluids, Vanishing Beaches & Fiery Neurons: The Unifying Nature

of Implicit Evolution Equations, Villanova University, August 2016 - invited colloquium

talk.

Society Annual Meeting, Special Session on Stochastic Differential Equations, Jan 2011 –

invited talk

4. McKean-Vlasov stochastic equations: Past, present, and future directions, 34th SIAM

Southeastern-Atlantic Conference, Symposium on Stochastic Models and Applications,

Raleigh, NC, March 2010 – invited symposium talk

Dynamical Systems Talk, May 2008 – invited talk

Society Annual Meeting, Special Session on Stochastic Hybrid Systems, Jan 2008 –

invited talk.

7. On a class of abstract McKean-Vlasov stochastic evolution equations under general growth conditions, American Mathematical Society Annual Meeting, Special Session on

Stochastic, Large-Scale, and Hybrid Systems, Atlanta, Georgia, January 2005 – invited

talk.

8. First- and second-order abstract functional stochastic evolution equations, American Mathematical Society Midwestern Section Meeting: Special Session on Differential

Equations and Optimal Control, Athens, OH, March 2004 – invited talk.

9. On a class of functional integro-differential stochastic evolution equations, American Mathematical Society Annual Meeting, Baltimore, Maryland, Jan 2003

10.Approximate controllability results for a class of abstract second-order functional evolution equations in Banach spaces, The Fourth International Conference on Dynamical Systems and Differential Equations: Session on Control Theory, University of North

Carolina at Wilmington, May 24 – 27, 2002 – invited talk.

11.Technology, curriculum, and pedagogy: the common braid, (co-presented with Joan

Morrison and Bernadette Tutinas), “Best Practices in Teaching with Technology,” Goucher College, March 2001

12.Controllability of abstract evolution systems with nonlocal initial data, American

Mathematical Society Annual Meeting, New Orleans, Louisiana, Jan 2001

13.Existence results for a class of nonlocal semi-linear Volterra equations, International

Workshop on Differential Equations and Optimal Control, Ohio University, Athens, OH,

May 2000 – invited talk.

14.Existence theory for a class of abstract nonlinear nonlocal integro-differential equations

in Banach spaces, American Mathematical Society Southeastern Sectional Meeting #954: Special Session on Nonlinear Differential Equations and their Applications, University of

Louisiana at Lafayette, April 2000 – invited talk.

15.Semi-linear Volterra integro-differential equations with nonlocal initial conditions,

American Mathematical Society Annual Meeting: Special Session on Integral Equations

and their Applications, Washington, D.C., Jan 2000 – invited talk.

16.A phase field model with memory, American Mathematical Society Annual Meeting, San

Antonio, Texas, Jan 1999

17.On a class of semilinear evolution equations, TULKA Workshop on Linear Semigroups and

Evolution Equations, Heinrich-Fabri Institute, Blaubeuren, Germany, July 1998

18.Existence results for a class of abstract nonlocal Cauchy problems, American

Mathematical Society Annual Meeting, Baltimore, MD, Jan 1998

19.Second-order quasi-linear evolution equations related to Kirchoff’s law, Differential

Equations Seminar, Ohio University, March 1997

Comprehensive List of Conferences, Workshops, & Roundtables

1. 11th American Institute of Mathematical Sciences Conference on

Dynamical Systems, Differential Equations and Applications

2. American Mathematical Society Annual Meeting (Baltimore, MD) January 2014

9. American Mathematical Society Annual Meeting (San Diego, CA) January 2008

January 2006

2001

Optimal Control (Athens, OH)

1999

29 25th Annual Syracuse Conference (Syracuse University, NY) April 1996

Courses Taught

I have taught the following courses during the past 12 years and have incorporated various forms of technology into many of them I indicate the use of the computer algebra system

the number of times (in parentheses) I taught each course while at Ohio University

West Chester University:

2016)

Hilbert Space Theory (Fall 2015) Spectral Theory (Spring 2016)

2015)

MAT 500 ($, *) Fundamentals of Applied Mathematics (Summer 2015, Spring 2016 (IS))

Goucher College:

2005 )

MA 110 Mathematics for Elementary Education Majors: Number Systems ( FA

2011 )

SP 2004, SP 2005 , FA 2005, SP 2006, SP 2007, FA 2007, SP 2008, Fall

2009 )

FA 2007, FA 2008, Fall 2009, Fall 2010, Fall 2011, Fall 2012 )

2007 )

2006 )

SP 2009 )

 Introduction to Optimal Control/Calculus of Variations (FA

2005 )

 Partial Differential Equations (*) (FA 1999, FA 2005 )

2012)

SP2011, SP2012 )

Ohio University: (Quarter System – number of times taught in parentheses)

Student Publications & Awards and Senior Theses

The student publications in the Goucher-published undergraduate journal Verge and those

who received awards listed below were originally completed as a semester-long project in assigned in my classes

1 Rebekah Turk, Chaos Theory and Biological Systems, Phi Beta Kappa Award, 2003

2 Megan Smith, Mathematics of the Brusselator and Other Chemical Oscillations, Verge,

issue 1, 2005

3 Adriene Koenig, Machines Explore their Sensitive Side: The Emergence of Computer Art,

Verge, issue 2, 2006

4 Daniel Barker, Hamilton’s Principle and Lagrangian Mechanics, Verge, issue 4, 2008.

5 Michael Garman and Jessica Bonnie, Curvature of Surfaces, Verge, issue 5, 2008.

6 Shana Lieberman, On a Class of Integral Equations, senior thesis, 2007.

7 Jennifer Jordan, Applied Functional Analysis and Epidemiological Models, senior thesis,

2010

8 Yan Zhuang, A Mathematical Investigation of Neural Networks and Applications to

Cognitive Neural Science, Phi Beta Kappa Award, 2012.

9 Joel Berger, Classical Mechanics Meets Baseball – An Application of the Theory of

Evolution Equations, Phi Beta Kappa Award, 2012

Professional Service

External Consultation:

I was invited by Dr Peter Straub, Dean, Natural Science and Mathematics, Stockton University to serve as an external consultant for their proposed graduate program in data science This work took place July 2016 – December 2016

Editorial Board Membership:

I have served as a member of the editorial board of the following mathematics journals since August 2013:

o Nonautonomous Dynamical Systems (Walter de Gruyter journal)

o International Journal of Analysis and Applications (Australian journal)

o Mathematical Analysis (Hindawi journal)