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Vahid Roomi
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http://fds.duke.edu/photos/fac/b.gifPublications
http://fds.duke.edu/photos/fac/b.gifResearch Interests
http://fds.duke.edu/photos/fac/b.gifCurriculum Vitae

 

 

http://fds.duke.edu/photos/fac/1downarrow.gifUsefule Links

http://fds.duke.edu/photos/fac/b.gifIran. Math. Society

http://fds.duke.edu/photos/fac/b.gifOpen math. MIT Uni.

                    

 

 

clip_image002Vahid Roomi,
Ph.D. Student in Mathematics

Contact Info:

 

Office Address:

 

 

 

 

 

 

School of Mathematics, Iran University of Science and Technology,

Narmak, Tehran, Iran.
P.O. Code: 16846-13114

Mobile: +989125155244

Email Address:

  

roomi@iust.ac.ir  ; vroomi_gh@yahoo.com

                                

 

Education:

·         Ph.D. Iran University of Science and Technology 2009-now (Supervisor: Asadollah Aghajani)

·         MSc Iran University of Science and Technology 1999-2001 (Supervisor: Behrooz Emamizadeh)

·         BS University of Tabriz, Tabriz 1995-1999

 

Some Selected Courses:
 

·         Calculus of Variations and Optimization

·         Functional Analysis

·         Nonlinear Analysis and Its Applications

·         Theory of Ordinary Differential Equations & Dynamical Systems

·         Control Theory

·         Applied Functional Analysis

·         Geometry of Manifold

·         Advanced Algebra

·         Advanced Real Analysis

·         Theory of Partial Differential Equations

 

Research and Interesting areas:

 

  • Theory of Ordinary Differential Equations  & Dynamical Systems
  • Theory of Partial Differential Equations 
  • Integral Equations
  • Optimization Theory
  • Nonlinear Analysis
  • Calculus of Variations
  • Functional Analysis



 

Referee for:



 

 

Publications :

 

  1. Papers

 

1.     Oscillation theorems for generalized Lienard system, Mathematical and Computer Modelling , 54 (2011) 2471-2478. Joint with A. Aghajani and Y. Jalilian.

 

2.     An oscillation theorem for second-order nonlinear differential equations of Euler type, Turk. J Math. 35 (2011), (In Press). Joint with A. Aghajani.

 

3.     On the property of (X^+) for generalized Lienard System, IJDSDE Vol 1, No 4, 2008. Joint with A. Aghajani.

 

 

4.     On the asymptotic behavior of second order nonlinear differential systems of Li´enard type. Mathematical Sciences Vol. 2, No. 3 (2008). Joint with A. Aghajani.

 

5.     On the property of (X^+) for a second-order system with zero diagonal coefficient, IUST International Journal of Engineering Science, Vol. 18, No. 1-2, 2007, Page 1-5. Joint with A. Aghajani.

 

6.     Existence of homoclinic orbits for general planer dynamical system of Lienard type, Dynamics of Continuous, Discrete and Impulsive Systems,(To appear). Joint with R. P. Agarwal & A. Aghajani.

 

7.     Some oscillation theorems for second-order nonlinear differential equations of generalized Euler type (Submitted). Joint with A. Aghajani.

 

8.     Some explicit oscillation criteria for second-order nonlinear differential equations of generalized Euler type (Submitted). Joint with A. Aghajani.

 

9.     New oscillation theorems for the generalized Lienard system (submitted). Joint with A. Aghajani.

 

  1. Books
  • Pre calculus                           (In Persian) (with M. Basheoor)
  • Calculus 1                              (In Persian) (with S. Seifollahi and S. Taheri)
  • Calculus 2                              (In Persian) (with R. Babaee)
  • Probability and Statistics   ­­­­    (In Persian) (with M. Basheoor)

 

 

  1. Conferences and Seminars

·         Some necessary and sufficient conditions for the existence of homoclinic orbits for generalized Lienard systems , Iran University of Science & Technology , Iran. (Summer 2010)

 

·         On the existence of homoclinic orbits for generalized Lienard systems, University of Urmia, Iran. (41st Annual Iranian Mathematics Conference) (Summer 2010)