Vahid Roomi,
Ph.D. Student in Mathematics
Contact Info:
Office Address:
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School of Mathematics, Iran University of Science and
Technology,
Narmak, Tehran, Iran.
P.O.
Code: 16846-13114
Mobile: +989125155244
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Email Address:
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roomi@iust.ac.ir
; vroomi_gh@yahoo.com
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Education:
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Ph.D. Iran University of Science
and Technology 2009-now (Supervisor: Asadollah Aghajani)
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MSc Iran University of Science
and Technology 1999-2001 (Supervisor: Behrooz Emamizadeh)
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BS University of Tabriz, Tabriz
1995-1999
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Some Selected Courses:
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Calculus of Variations and
Optimization
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Functional Analysis
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Nonlinear Analysis and Its
Applications
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Theory of Ordinary Differential
Equations & Dynamical Systems
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Control Theory
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Applied Functional Analysis
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Geometry of Manifold
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Advanced Algebra
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Advanced Real Analysis
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Theory of Partial Differential
Equations
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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 :
- 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.
- 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)
- Conferences
and Seminars
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Some necessary and sufficient
conditions for the existence of homoclinic orbits for generalized Lienard
systems , Iran University of Science &
Technology , Iran. (Summer
2010)
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On the existence
of homoclinic orbits for generalized Lienard systems,
University of Urmia, Iran. (41st Annual Iranian Mathematics
Conference) (Summer 2010)
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