V. Murugan

Associate Professor

Saturday, March 1, 2008

12 Years

Contact Details

mrgniitm [at] gmail.com

murugan@nitk.edu.in

+91 82 2473262

+91 9448150143

Faculty (author) Identifiers

Academic Background

Ph.D (IIT Madras), 2007
M.Sc.(Mathematics), T.D.M.N.S. College, Manonmaniam Sundaranar University, Tirunelveli, 2002
B.Sc.(Mathematics), T.D.M.N.S. College, Manonmaniam Sundaranar University, Tirunelveli, 2000

Areas of Interest

Significant Projects

1. Smooth Solutions of Iterative Functional Equations(2009-2012), Seed Grant Project sponsored by NITK, Surathkal.

2. Applications of Kneading Theory in Iterative Root Problems (2018-2021), Early Career Research Award, SER-DST, India.

Supervision of Ph.D

Completed:
1. Dr. Suresh Kumar M (2018)
2. Dr. Mohd Ahmed (2017)

On-going
1. Chatanya G
2. Palanivel R
3. Shivarama

Significant 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.
(E. Murali Krishna) Computing Solutions for Iterative Root Problem, Proceedings of HICAMS 2012, 710-715.
(with E. Satyanarayana, M Ahmed) Large Time Asymptotics with Error Estimates to Solutions of a Forced Burgers Equation, Studies in Applied Mathematics, 138 (2017), 185–204
Cho, Y.J., Murugan, S.K. & Veerapazham, M., Iterative Roots of Non-PM Functions and Denseness, Results in Mathematics (2018) 73: 13. https://doi.org/10.1007/s00025-018-0792-y

Achievements

Received a prize and a Certificate of ”Honourable Mention” in the Prof. R.S. Varma Best Paper Competition conducted in the International Conference on Computational, Mathematical and Statistical Methods (CMASM 2007) in Chennai during 6-8 January 2007.
CSIR (JRF & SRF) at IIT Madras during 2003-2007
Qualified National Eligibility Test (NET) for Lectureship in 2003.
Qualified GATE 2003
First prize in the P.G. Level quiz competition in Mathematics held at Scott Christian College, Nagarcoil in the year 2002.