Rakhee Basu

Dr. Rakhee Basu is an Assistant Professor in Mathematics Department, School of Natural Sciences at Mahindra University École Centrale School of Engineering.

She holds a Ph.D. from University of Hyderabad. She is Passionate in extending the existing line of research to explore applications in the fields of Biology, Control Theory, Variation Calculus, Population Dynamics, Optimization, Sociology and Economics.

She is a Fluent communicator with proven ability to present to diverse audience Would like to pursue teaching as a career.

• Education
  • University of Hyderabad: Post-Doc - August 2015-July 2018
  • University of Hyderabad: Ph.D. - 2009-2015
  • University of Calcutta: M.Sc., Applied Mathematics - 2005-2007 (79.5%)
  • Calcutta University: B.Sc., Mathematics (Hons) - 2002-2005 (72%)
  • Intermediate: Duration: 2000 - 2002 (77%)
  • S.S.C: Year of Passing: 2000 (89.90%)
• Research

  Ph.D. Research Area: Oscillation Results of Neutral Delay Differential Equations.

  Thesis title: Study of Qualitative Behaviour of Solutions of a Class of Nonlinear Neutral Delay Differential Equations.

  Received Indira Gandhi Scholarship for Single Girl Child for Post Graduate Program during 2005-2007.

• Publications
  • R. Basu, "An Iterative scheme for the oscillation criteria of a non-linear delay differential equation with several deviating arguments", Asian-European Journal of Mathematics (AEJM); 2021 (Accepted)
  • R. Basu, ''A new formula for investigating delay integro-differential equations using differential transform method involving quotient of two functions'', Rocky Mountain Journal of Mathematics; (2020)(Accepted).

  Published Papers During Ph.D.

  • (With S. Panigrahi) Oscillation results for fourth order nonlinear mixed neutral differential equations with quasi-derivatives, Functional Differential Equations, 19 (2012), 195-211.
  • (With S. Panigrahi) Oscillation results for third order nonlinear mixed neutral differential equations, Mathematica Slovaca, 66, 2016, 869-886.(Scopus)
  • (With S. Panigrahi) Oscillation of nonlinear neutral differential equations of fourth order with several delays, Annals of the Academy of Romanian Scientists, 4 (2012), 59-89.(Scopus)
  • (With A. K. Tripathy, S. Panigrahi) Oscillatory and asymptotic behaviour of fourth order nonlinear neutral delay differential equations with positive and negative coefficients, Fasciculi Mathematici, 52 (2014), 155-174.
  • (With A. K. Tripathy, S. Panigrahi) Oscillation results for fourth order nonlinear neutral differential equations with positive and negative coefficients, Journal of Mathematical Sciences, 194 (2013), 453-471.(Scopus)
  • (With A. K. Tripathy, S. Panigrahi) Oscillation results for fourth order nonlinear neutral differential equations with positive and negative coefficients, Journal of Mathematical Sciences, 194 (2013), 453-471.(Scopus)
  • (With S. Panigrahi) Oscillation Criteria for second order neutral differential equations with positive and negative coefficients, Dynamics of Continuous, Discrete and Impulsive Systems Series A:Mathematical Analysis, 21( 2014), 171-186.(Scopus)
  • (With S. Panigrahi) Oscillation criteria for odd higher order nonlinear neutral differential equations with positive and negative coefficients, Differential Equations And Applications, 7 (2015), 363-384.
  • (With S. Panigrahi) Oscillation results for higher order nonlinear neutral differential equations, International Journal of Dynamical Systems and Differential Equations, 6 (2016), 16-35.(Scopus)
  • (With S. Panigrahi) Oscillation results for higher order nonlinear neutral differential equations with positive and negative coefficients, Journal of Applied Analysis, 2015, 109-121.(Scopus)

  Published/Accepted Papers During Post Doc

  • (With V. Kannan, K. Sannyasi, N. Unnikrishnan) Study of Transitivity Through Steepness, Topology Proceedings, 52 (2018) , 1-12.
  • (With V. Kannan, K. Sannyasi, N. Unnikrishnan) Functions Preserving Limit Superior (Accepted in College Mathematics Journal).(Scopus)
  • (With S. Panigrahi) Oscillation results for fourth order nonlinear neutral differential equations with quasi-derivatives, Functional Differential Equations, 24(2017), 95-110.
  • (With S. Panigrahi) Oscillation criteria for a forced second order neutral delay differential equations, Functional Differential Equations, 24 (2017), 27-44.
• Experience

  TEACHING EXPERIENCE

  Working as an Assistant Professor (Mathematics) in KL University, Hyderabad Campus from 26th July, 2018 –Present.

  RESEARCH EXPERIENCE IN POST-DOC

  University of Hyderabad

  Dr. D. S. Kothari Post-Doctoral Fellowship--August 2015-July 2018

  Post-Doctoral Research Area: Dynamical Systems and Real Analysis.

  University of Hyderabad

  • Ph.D. degree awarded in 2015
  • Sr. Research Fellow — July 2011- July 2014
  • Jr. Research Fellow — July 2009- June 2011
  • Qualified CSIR NET Dec 2008
• Others

  SEMINARS, CONFERENCES & WORKSHOPS

  • International Congress of Mathematicians during August 19-27, 2010.
  • International Conference on Frontier’s Interface between Statistics and Science, Hyderabad 30th December 2009-2nd January 2010.
  • International Congress of Woman Mathematicians, Hyderabad, August 17-18 2010.
  • IWM Annual Conference during June 30- July 1, 2016, University of Hyderabad.