Dr.V. Murugan, Ph.D.
Dept. of Mathematical and Computational Sciences
National Institute of Technology Karnataka
Surathkal, Mangalore- 575 025, INDIA
Office: Room No. 26,
Main Building (2nd Floor)
Phone: 0824 2474000, Ext 3262
Fax: 0824 2474048
E-mail: mrgniitm@gmail.com
Teaching (July-November 2009)
Engineering Mathematics I (MA101) Operations Research (MA754)
Taught
Engineering Mathematics I (MA101) Engineering Mathematics II (MA151) Linear Algebra
Advanced Mathematical Methods
Research Interest
Nonlinear Analysis: Functional
Equations | Iteration Theory | Fixed Point Theory | Dynamical SystemsEducation:
Ph.D. (IIT Madras)
Title: Solutions of Nonlinear Iterative Functional Equations Supervisor: Prof. P.V. Subrahmanyam
M.Sc. (TDMNS College, T. Kallikulam, Tamil Nadu)
B.Sc. (TDMNS College, T. Kallikulam, Tamil Nadu)
Research Publications
- (with P.V. Subrahmanyam) "Existence of solutions for equations involving iterated functional series", Fixed point theory and applications, 2005:2(2005)219-232."
- (with P.V. Subrahmanyam) "Special solutions for a general class of iterative functional equations", Aequationes Mathematicae, 72 (2006) 269–287.
- (with P.V. Subrahmanyam) ''Smooth Solution for a Functional
Equation Involving Series of Iterates”, Journal of Combinatorics,
Information and System Sciences, 33 (2008), 187-207.
- (with P.V. Subrahmanyam) ''Differentiable Solutions for a Class of Functional Equations”, Annales Polonici Mathematici, 92 (2007), 225-241.
- (with
P.V. Subrahmanyam) "Existence of continuous solutions for an iterative
functional series equation with variable coefficients", Aequationes
Mathematicae , 78 (2009), 167-176.
Other Publications
- Formula for the area of a rectangle, Forays 2006, I.I.T. Madras.
Conferences Attended
- Instructional Work-shop on Basic Real Analysis held in Institute of Mathematical Sciences, Taramani, Chennai on 11th October, 2003.
- Ultrametric Analysis and Applications (UMAAA) held in R.K.M. Vivekananda College, Chennai, during March 3-7, 2004.
- Q. I. P. Short-term Course on Fourier Analysis held in I. I. T. Madras, Chennai, during July 05-10,2004.
- SCRA 2004-FIM XI, Elevanth International conference on interdisciplinary mathematical and Statistical Techniques, held in Lucknow on Dec 27-29,2004.
- The National Workshop on Fundamentals of Fuzzy Set Theory held in Stella Maris College, Chennai during August 5 6, 2005.
- National Workshop on Matrices and Applications sponsored by DST India, held at ISI Hyderabad during 05-12 January 2006.
- Eleventh International Conference on Functional Equations and Inequalities (11th ICFEI) held at the Banach Center, Bedlewo in Poland during 18-23 September 2006.
- The Fourteenth International Conference of FIM on
Computaional Mathematical and Statistical Methods (CMASM 2007) held in
IIT Madras and Stella Maris College, Chennai during 6-8 January 2007.
Awards and Honors
- Received a prize and a Certificate of ”Honourable Mention” in the Prof. R.S. Varma Best Paper Competition conducted in the International Conference on Computaional, Mathematical and Statistical Methods (CMASM 2007) in Chennai during 6-8 January 2007.
- Junior Research Fellow (JRF) of Council of Scientific and Industrial Research (CSIR) from 2003 to 2005 in the department of Mathematics, IIT Madras.
- Senior Research Fellow (SRF) of Council of Scientific and Industrial Research (CSIR) from 2005 to 2007 in the department of Mathematics, IIT Madras.
- Qualified National Eligibility Test (NET) for Lectureship in 2003.
- Qualified Graduate Aptitude Test in Engineering in 2003 ( GATE 2003 ).
- First prize in the P.G. Level quiz competition in Mathematics held at Scott Christian College, Nagarcoil in the year 2002.
- First prize in the State Level Intercollegiate Quiz Competition in Mathematics held at St. Xavier’s College (Autonomous), Palayamkottai, in the year 2002.
- Second prize in the U.G. Level Quiz Competition
organized by the Department of Mathematics, Manonmaniam Sundaranar
University, Tirunelveli in the year of 2000.
Professional Affiliations
- Member of the Forum for Interdisciplinary Mathematics (FIM)
- Member of The Association of Mathematics Teacher of India (AMTI)
Some Useful Links
- Functional Equations - Homepage
- Back volumes in Analysis
- World Digital Math. Lib.
- Digital Math. Lib.
- Numdum
- Front for Math. Arxiv
- Arxiv
- The Electronic Library of Mathematics
- Free Mathematics books
Photos