Dr.S.Karthikeyan

ASSISTANT PROFESSOR
Department of Mathematics
Email :karthi@periyaruniversity.ac.in
Education
Course Institution
B.SC Thiruvalluvar Govt, Arts College, Rasipuram ( 2002 )
M.SC Bharathiar University, Coimbatore ( 2004 )
M.PHIL Bharathiar University, Coimbatore ( 2005 )
PH.D Bharathiar University, Coimbatore ( 2009 )
Professional Experience
Field Company / Institution Designation
Teaching Periyar University Assistant Professor ( 2010 - Present )
Research Periyar University Assistant Professor ( 2010 - Present )
Specializations
Stochastic Differential Equations
Partial Differential Equations
Control Theory
Total No. of Ph.D’s. and M.Phil’s. Produced
Degree Awarded Submited On-roll
M.Phil 11 0 0
Ph.D 11 0 0
Research Project
S.No Title Status Funding Agency
1Studies on Existence and Blow-up of Solutions of Partial Differential Equations Report DST-SERB
Publications

  1. K. Balachandran, S. Karthikeyan, Controllability of stochastic integrodifferential systems , International Journal of Control , 80(3), 486-491, 2007, Taylor and Francis (2.1010)

  2. K.Balachandran, S.Karthikeyan, J.-H.Kim, Controllability of semilinear stochastic integrodifferential systems , Kybernetika , 43(1), 31-44, 2007, Institute of Information Theory and Automation (0.6320)

  3. K. Balachandran , S. Karthikeyan, Controllability of Ito type nonlinear stochastic integrodifferential systems , Journal of the Franklin Institute , 345(4), 382-391, 2008, Elsevier (3.5760)

  4. K. Balachandran, J.-H.Kim, S. Karthikeyan, Complete controllability of stochastic integrodifferential systems , Dynamic Systems and Applications , 17(1), 43-52, 2008, Dynamic Publishers (0.3590)

  5. K. Balachandran , S. Karthikeyan, J.Y. Park, Controllability of stochastic systems with distributed delays in control , International Journal of Control , 82(7), 1288-1296, 2009, Taylor and Francis (2.1010)

  6. S. Karthikeyan, K. Balachandran, Controllability of nonlinear stochastic neutral impulsive systems , Nonlinear Analysis: Hybrid Systems , 3(3), 266-276, 2009, Elsevier (4.0100)

  7. K. Balachandran, S. Karthikeyan, Controllability of nonlinear stochastic systems with prescribed controls , IMA Journal of Mathematical Control and Information , 27(1), 77-89, 2010, Oxford (1.3580)

  8. S. Karthikeyan, K.Balachandran, Constrained controllability of stochastic impulsive systems , International Journal of Applied Mathematics and Computer Science , 41(2), 307-316, 2011, (1.6940)

  9. S. Karthikeyan , K. Balachandran, On controllability for a class of stochastic impulsive systems with delays in control, International Journal of Systems Science, 41(1), 67-76, 2013, Taylor and Francis(2.1850)

  10. S.Karthikeyan, K.Balachandran, M.Sathya, Controllability of nonlinear stochastic systems with multiple time-varying delays in control , International Journal of Applied Mathematics and Computer Science , 25(2), 207-215, 2015, (1.6940)

  11. S. Karthikeyan, K. Balachandran, J.-H. Kim, On controllability for a class of second order semilinear stochastic systems , Journal of Control and Decision , 3(4), 211-222, 2016,

  12. L. Shangerganesh, V.N. Deivamani, S. Karthikeyan, Existence of global weak solutions for cancer invasion parabolic system with nonlinear diffusion , Communications in Applied Analysis , 21(4), 607-629, 2017, Dynamic Publishers

  13. L. Shangerganesh, V.N. Deivamani, S. Karthikeyan, Renormalized and entropy solutions of tumor growth model with nonlinear acid production , Mathematical Modelling and Analysis , 22(5), 695-716, 2017, Taylor and Francis (0.7160)

  14. S. Karthikeyan, K. Balachandran, M. Sathya, Controllability of semilinear stochastic delay systems with distributed delays in control , Mathematics of Control, Signals and Systems , 29(4), 1-15, 2017, Springer (0.8750)

  15. L. Shangerganesh, N. Nyamoradi, V.N. Deivamani, S. Karthikeyan, On the existence of weak solutions of nonlinear degenerate parabolic system with variable exponents , Computer and Mathematics with Applications , 75(1), 322-334, 2018, Elsevier (1.8600)

  16. L. Shangerganesh, N. Nyamordi, G. Sathishkumar, S. Karthikeyan, Finite-time blow-up of solutions to a cancer invasion mathematical model with haptotaxis effects , Computers and Mathematics with Applications , 77(8), 2242-2254, 2019, Elsevier (1.8600)

  17. G. Sathishkumar, L. Shangerganesh, S. Karthikeyan, Lower bounds for the finite-time blow-up of solutions of a cancer invasion model , Electronic Journal of Qualitative Theory of Differential Equations , 12(0), 1-13, 2019, (0.8810)

  18. L. Shangerganesh, V.N. Deiva Mani, S. Karthikeyan, Existence of solutions of cancer invasion parabolic system with integrable data , Afrika Matematika , 31(0), 1359-1378, 2020, Springer

  19. G. Sathishkumar, L. Shangerganesh, S. Karthikeyan, Lower bounds of finite-time blow-up of solutions to a two-species Keller-Segel chemotaxis model , Journal of Applied Nonlinear Dynamics , 10(1), 81-93, 2021, L&H Scientific

  20. L. Shangerganesh, G. Sathishkumar, N. Nyamoradi, S. Karthikeyan, Blow-Up Phenomena of a Cancer Invasion Model with Nonlinear Diffusion and Haptotaxis Term , Bulletin of Malaysian Mathematical Society , 44(0), 1215-1231, 2021, Springer (0.8560)

  21. V.N. Deiva Mani, S. Karthikeyan, L. Shangerganesh, S. Marshal Anthoni, Solvability of the acid-mediated tumor growth model with nonlinear acid production term , Journal of Elliptic and Parabolic Equations , 0(0), 0-0, 2023, Springer(0.8000)