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 Systems

Education:

  • 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

  1. (with P.V. Subrahmanyam) "Existence of solutions for equations involving iterated functional series", Fixed point theory and applications, 2005:2(2005)219-232."
  2. (with P.V. Subrahmanyam) "Special solutions for a general class of iterative functional equations",  Aequationes Mathematicae, 72  (2006)  269–287.
  3. (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.
  4. (with P.V. Subrahmanyam) ''Differentiable Solutions for a Class of Functional Equations”,  Annales Polonici Mathematici, 92 (2007), 225-241.
  5. (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 

  1. Formula for the area of a rectangle, Forays 2006, I.I.T. Madras.

Conferences Attended

  1.  Instructional Work-shop on Basic Real Analysis held in Institute of Mathematical Sciences, Taramani, Chennai on 11th October, 2003.
  2. Ultrametric Analysis and Applications (UMAAA) held in R.K.M. Vivekananda College, Chennai, during March 3-7, 2004.
  3. Q. I. P. Short-term Course on Fourier Analysis held in I. I. T. Madras, Chennai, during July 05-10,2004.
  4.  SCRA 2004-FIM XI, Elevanth International conference on interdisciplinary mathematical and Statistical Techniques, held in Lucknow on Dec 27-29,2004.
  5. The National Workshop on Fundamentals of Fuzzy Set Theory held in Stella Maris College, Chennai during August 5 6, 2005.
  6. National Workshop on Matrices and Applications sponsored by DST India, held at ISI Hyderabad during 05-12 January 2006.
  7. Eleventh International Conference on Functional Equations and Inequalities (11th ICFEI) held at the Banach Center, Bedlewo in Poland during 18-23 September 2006.
  8. 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

  1. 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. 
  2. Junior Research Fellow (JRF) of Council of Scientific and Industrial Research (CSIR) from 2003 to 2005 in the department of Mathematics, IIT Madras.
  3. Senior Research Fellow (SRF) of Council of Scientific and Industrial Research (CSIR) from 2005 to 2007 in the department of Mathematics, IIT Madras.
  4. Qualified National Eligibility Test (NET) for Lectureship in 2003.
  5. Qualified Graduate Aptitude Test in Engineering in 2003 ( GATE 2003 ).
  6. First prize in the P.G. Level quiz competition in Mathematics held at Scott Christian College, Nagarcoil in the year 2002.
  7. First prize in the State Level Intercollegiate Quiz Competition in Mathematics held at St. Xavier’s College (Autonomous), Palayamkottai, in the year 2002.
  8. 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

  1. Member of the  Forum for Interdisciplinary Mathematics (FIM)  
  2. Member of The Association of Mathematics Teacher of India (AMTI)

 Some Useful Links

  1. Functional Equations - Homepage
  2. Back volumes in Analysis
  3. World Digital Math. Lib.
  4. Digital Math. Lib.
  5. Numdum
  6. Front for Math. Arxiv
  7. Arxiv
  8. The Electronic Library of Mathematics
  9. Free Mathematics books  

 Photos

  1. At 11th ICFEI

 

 

Sign in  |  Recent Site Activity  |  Terms  |  Report Abuse  |  Print page  |  Powered by Google Sites