Research Interests: Stochastic Partial Differential Equations, Stochastic Hybrid Systems under External noise and Markovian Perturbations, Stochastic Controlled Systems and Quantitative Properties, Fluid Dynamics under Markovian Structural Perturbations
Selected Publications :
1. M.J. Anabtawi, S. Sathananthan, “Stochastic Hybrid Parabolic Systems under Jump Markovian Perturbations-I: Convergence and Stability via Lyapunov functionals”, Journal of Dynamic Systems and Applications 15 (2006) 269-286.
2. M.J. Aanbtawi, G.S. Ladde, “Dynamics of Fluids Flows under Markovian Structural Perturbations”, Journal of Mathematical and Computer Modeling 42(2005), 967-976.
3. M.J. Anabtawi, S. Sathananthan, “Stochastic Parabolic Partial Differential Equations: Convergence and Stability”, Journal of Nonlinear Studies, Volume 11, No. 4, pages 585-602 2004..
4. M.J. Anabtawi, S. Sathananthan, “Stability and Convergence Via Lyapunov-like Functionals of Stochastic Parabolic Partial Differential Equations” Journal of Applied Mathematics and Computation, Volume 157, Issue 1, pages 201-218, September 2004
5. M.J. Anabtawi, S. Sathananthan, "Almost Sure Convergence and Stability Analysis of Hybrid Partial Differential System under Jump Markovian Perturbations". Journal of Dynamics of Continuous, Discrete and Impulsive Systems, Series A: Mathematical Analysis, 8, 2001, pp. 425-447.
6. M.J. Anabtawi, G.S. Ladde, "Convergence and Stability Analysis of System of Partial Differential Equations under Markovian Structural Perturbations-II:Vector Lyapunov-like Functional". Stochastic Analysis and Applications Journal Vol. 18, No. 5, pp 671-696, Sep. 2000
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Book Editor:
Mathematics Research at the Leading Edge, NOVA Publishers, New York, 2005
Ayman Badawi, Mahmoud Anabtawi, David F. Anderson, Saber Elaydi
