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Dr. S. Padhi

Contact Us

Email - spadhi@bitmesra.ac.in
Phone - +91-8292294087

My Research Experience

  1. Worked with Prof. N.Parhi in the Department of Mathematics, Berhampur University, Orissa, India  for my Ph.D Degree on the Oscillation Theory of Differential Equations. 
  2. Visited department of Mathematical Science, IISc. Bangalore to carry out joint research work with Dr.T. Sengadir under IISc-TIFR Short Term Visitors Programme from 1-21 Sept,1997. The work on ``Stability and Asymptotic Stability of Neutral Differential Equations" has been appeared in ``Differential Equations and Dynamical Systems".
  3. Worked with Prof. Chuanxi Qian in Department of Mathematics and Statistics, Mississippi State University, Mississippi State, USA in the year 2005-06 on Oscillation Theory of Differential Equations, Difference Equations, Global Attractivity of Differential Equations, Difference Equations. I have learned few work on Dynamic Equations on Time Scales.  Three papers have been published and few of the work are communicated for publications.
  4. Work carried out with Prof. Julio G.Dix in Department of Mathematics, Texas State University at San Marcos, Texas, USA, and the work has been appeared  in J.Cont. Mathematics, 1(1),(2007), 11-24. PanAmer. Math. J, (2009) and another is going to appear in J.Difference Equations and Applications, Applied Mathematics and Computations. Two more work are in progress.
  5. Visited Department of Mathematics, Bolyai Institute, University of Szeged, Szeged, Hungary during June 23 to  July 05, 2007 to work in collaboration with Prof.Tibor Krisztin. We have carried out some computational work on the periodic orbits of functional differential equations arising in some mathematical modeling.
  6. Visited Department of Mathematics, Andhra University, Vishakhapatnam, AP, India to work in collaboration with Dr.P.D.N.Srinivasu on the existence of positive periodic solutions of a first order differential equations with Alee effects. This work has been appeared in Nonlinear Analysis; Real World Applications, 11(2010), 2610-2618.
  7. Visited Department of mathematics, Texas State Univerisity at San Marcos, Texas, USA to work in collaboration with Prof.Julio G.Dix. A work has been done on the existence of positive solutions of n-th order differential equations that has been appeared in Applied Mathematics and Computation, 216(2010), 2709-2717. 
  8. Visited Department of mathematics, University of Tennessee at Chattanooga, Chattanooga, USA,  to work in collaboration with Prof. John R. Graef during the period 28th May 2011 to 24th June 2011. A number of work has been done on the existence of positive periodic solutions of first  order differential equations. Some of them have appeared in different journals of International repute, viz,. Nonl. Anal: Real World Applications, PanAmer. Math. J., Applicable Analysis and Discrete Mathematics and many more.
  9. Visited Department of Mathematics, Bolyai Institute, University of Szeged, Szeged, Hungary during June 23 to  July 02, 2007 to work in collaboration with Prof.Tibor Krisztin. We have carried out some computational work on the periodic orbits of functional differential equations arising in some mathematical modeling. 
  10. Visited Department of mathematics, University of Tennessee at Chattanooga, Chattanooga, USA,  to work in collaboration with Prof. John R. Graef during the period 12th March 2013 to 18th March 2013. A  work has been done on the existence of positive periodic solutions of first  order differential equations with applications to Allee effects. This work has been communicated to  Nonl. Anal; Real World Applications.
  11. Visited Department of Mathematics, Florida Gulf Coast University, Fort Myers, Florida, USA,  to work in collaboration with Prof. Jaffar Ali Shahul Hameed during the period 30 June 2016 to 9th July 2016. I have delivered two Invited lectures on Oscillation Theory of Third Order Differential Equations and Periodic Solutions of Functional Differential Equations with Applications to Population Dynamics.