Publications

Home -  Applied Math Seminar

  1. Optimal control of perturbed sweeping processes with applications to general robotics models (with G. Colombo, B.S. Morkukhovich, D. Nguyen, T. Nguyen), arXiv:2405.08986[math.OC], 2024.
  2. Control strategies to contain SARS-CoV-2 in a data driven SIR model for the state of Michigan, USA (with C. Foster-Bey), Letters in Biomathematics , 8 (1), 179-189 (2021).
  3. Qualitative properties of the solution set under time delayed discontinuous dynamics (with V.R. Rios), Set Valued Analysis ( 2019) doi:10.1007/s11228-019-00511-6
  4. Predictive Behavior of a Computational Foot/Ankle Model through Artificial Neural Networks, (with Chande, Wayne, Hargraves), Computational and Mathematical Methods in Medicine, vol. 2017, Article ID 3602928. 
  5. Application of artificial neural networks to improve predictive ability of computational joint models, Transactions of the 2015 annual meeting of the Orthopaedic Research Society; Las Vegas, March 2015.
  6.  Forward Euler solutions and weakly invariant time-delayed systems (with V.R. Rios), Abstract and Applied Analysis, Vol. 2012, (2012).  Article Id. 4818532012.
  7.  Necessary conditions for a class of optimal multiprocess problems with equality constraints, Proceedings of the American Control Conference, Baltimore, MD, 2010. 
  8.  Convergence results on a second-order rational difference equation with quadratic terms(with D. Chan, C. Kent),  Adv. Difference Eqns.  Vol. 2009 Article: 985161 (2009).
  9.  Learner-centered strategies and advanced mathematics, (with A.J. Ellington), PRIMUS, 19 Issue 5 (2009), 463-472.
  10.  Existence and a decoupling technique for the neutral problem of Bolza with multiple varying delays. Geometric control and nonsmooth analysis, 248--259, Ser. Adv. Math.  Appl. Sci., 76, World Sci. Publ., Hackensack, NJ, 2008.
  11.  Monotone and oscillatory solutions of a rational difference equation containing quadratic terms (with M. Dehghan, C. Kent, R. Mzrooei-Sebdani, H. Sedaghat), JDEA, 14:10-11 (2008), 1045-1058.
  12.  Dynamics of rational difference equations containing quadratic terms, (with M. Dehghan, C. Kent R. Mzrooei-Sebdani, H. Sedaghat), JDEA, 14:2, (2008), 191-208.
  13. Necessary conditions for the neutral problem of Bolza with continuously varying time delay, J. Math. Anal. & Appl., 305 (2005), 513-527.
  14.  The Decoupling Technique for Continuously Varying Time Delays, (with P. R. Wolenski), J. Set Valued Analysis, 12 (2004), 225-239.
  15. 12.  An Existence Theorem for Neutral Variational Problems of Bolza, (with P. R. Wolenski), J. Math. Anal. & Appl., 289 (2004), 260-265.
  16. Decoupling Time-Delays, (with P. R. Wolenski), Proceedings of the 41st joint CDC IEEE Conference, Las Vegas, December 2002.