Welcome to the Web site of

 Mr. Ahmad AL Dweik

 Research

 

Major Field                : Applied Mathematics

Area of specialization: Partial Differential Equations

Research interests     : Existence of Solutions and Asymptotic Analysis for Systems of PDEs

                                     in Elasticity, Thermoelasticity, and Viscoelasticity.

 

 

Journal Papers

 

1. Messaoudi S. A. and Mustafa M. I., On the internal and boundary stabilization of Timoshenko beams, Nonlinear Differential Equations and Applications 15 (2008),655-671.

2. Messaoudi S. A. and Mustafa M. I., On the stabilization of the Timoshenko system by a weak nonlinear dissipation, Mathematical Methods in the Applied Sciences 32 (2009), 454-469.

3. Messaoudi S. A. and Mustafa M. I., A stability result in a memory-type Timoshenko system, Dynamic Systems and Applications 18 (2009), 457-468.

4. Messaoudi S. A. and Mustafa M. I., On the control of solutions of viscoelastic equations with boundary feedback, Nonlinear Analysis: RWA 10 (2009), 3132-3140.

5. Messaoudi S. A. and Mustafa M. I., A stability result in a weakly damped nonlinear Timoshenko system, AIP Conf. Proceed. American Institute of Physics 1146 (2009),123-135.

6. Mustafa M. I. and Messaoudi S. A., General energy decay rates for a weakly damped Timoshenko system, Journal of Dynamical and Control Systems 16 (2) (2010), 211-226.

7. Messaoudi S. A. and Mustafa M. I., On convexity for energy decay rates of a viscoelastic equation with boundary feedback, Nonlinear Analysis TMA 72 (2010), 3602-3611.

8. Mustafa M. I. and Messaoudi S. A., General energy decay rates for a weakly damped wave equation, Communications in Mathematical Analysis 9 (2) (2010), 67-76.

9. Mustafa M. I., Exponential decay in thermoelastic systems with boundary delay, Journal of Abstract Differential Equations and Applications 2 (1) (2011), 1-13.

10. Mustafa M. I., Uniform stability for themoelastic systems with boundary time-varying delay, Journal of Mathematical Analysis and Applications 383 (2011), 490–498.

11. Mustafa M. I., On the control of n-dimensional thermoelastic system, Applicable Analysis, DOI:10.1080/00036811.2011.601298, 2011.

12. Mustafa M. I., Well posedness and asymptotic behavior of a coupled system of nonlinear viscoelastic equations, Nonlinear Analysis RWA 13 (2012), 452-463.

13. Mustafa M. I., Boundary stabilization of memory-type thermoelasticity with second sound, Zeitschrift für Angewandte Mathematik und Physik, DOI 10.1007/s00033-011-0190-8, 2012.

14. Mustafa M. I. and Messaoudi S. A., Energy decay rates for a Timoshenko system with viscoelastic boundary conditions, Applied Mathematics and Computation 218 (2012), 9125–9131.

15. Mustafa M. I. and Messaoudi S. A., General stability result for viscoelastic wave equations, Journal of Mathematical Physics Vol. 53, 053702 (2012); doi: 10.1063/1.4711830.

16. Messaoudi S. A. and Mustafa M. I., A general stability result in a memory-type Timoshenko system, Communications on Pure and Applied Analysis, 2012 (Accepted).

 

 

 

Conference Presentations and Seminars

 

1. "Maximal Monotone Operators and Applications", The First Graduate Seminar Day, KFUPM, April 29, 2007.

2. "Green and generalized Green’s functional of linear local and nonlocal problems for ordinary integro-differential equations", Math. Dept., KFUPM, 2007.

3. "Interval methods for initial value problems for ordinary differential equations", Math. Dept., KFUPM, 2007.

4. "General decay in viscoelastic systems of Timoshenko type", The Third International Conference in Mathematical Sciences ICM 2008, UAEU, Al Ain, March 3-6, 2008.

5. "On the control of the Timoshenko beam", The Second Graduate Seminar Day, KFUPM, May 5, 2008.

6. "On the internal and boundary stabilization of the wave equation", The first Annual Math Days (FAMD) of King Saud University, Riyadh, KSA, December 16-17, 2009.

7. The Second International Conference on Mathematical Sciences ICMS2 2010, Kuala Lumpur, Malaysia, Nov. 30 – Dec. 3, 2010.

8. The Conference of Mathematics and its Applications, Al-Imam Muhammad Ibn Saud Islamic University, Riyadh, KSA, March 23-24, 2011.

9. "Uniform decay rates for viscoelastic dissipative systems", March 29, 2011, Math. Dept., KFUPM.

10. International Conference on Numerical Analysis & Optimization, KFUPM, December 18 - 19, 2011.

11. "The control of thermoelastic systems by viscoelastic damping of general type", The Fourth International Conference in Mathematical Sciences ICM 2012, UAEU, Al Ain, March 11-14, 2012.

12. The Conference "A New Vision of the Role of Basic Sciences in Development", Umm Al-Qura University, Makkah, KSA, April 16-18, 2012.

Dr. Muhammad Islam Mustafa

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