rakhee

Rakhee Basu

Associate Professor
Rakhee.basu@mahindrauniversity.edu.in

Dr. Rakhee Basu is an Associate Professor in Mathematics Department 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.

2015-2018

  • University of Hyderabad: Post-Doc (Kothari Fellowship) (2015-2018)

2009-2015

  • University of Hyderabad: Ph.D. (2009-2015)

2005-2007

  • University of Calcutta: M.Sc., Applied Mathematics ( 2005-2007)

2002-2005

  • Calcutta University: B.Sc., Mathematics (Hons) (2002-2005)

2000 - 2002

  • Intermediate: Duration (2000 – 2002)

2000

  • S.S.C: Year of Passing (2000)

2019 –Present

  • Working as an Assistant Professor (Mathematics) in Mahindra University University, Hyderabad Campus from January, 2019 –Present

2018-2019

  • Working as an Assistant Professor (Mathematics) in KL University, Hyderabad Campus from 26th July, 2018 –January 2019.

2015-2018

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

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

2015

  • Ph.D. degree awarded in 2015

2011-2014

  • Sr. Research Fellow — July 2011- July 2014

2009-2011

  • Jr. Research Fellow — July 2009- June 2011

2008

  • Qualified CSIR NET Dec 2008.

Teaching Experience:

Teaching Experience:

  • Real Analysis
  • Complex Analysis
  • Ordinary differential Equations
  • MATLAB Programming in Numerical Methods

2024

2021

  • A new formula for investigating delay integro-differential equations using differential transform method involving quotient of two functions, R. Basu, Rocky Mountain Journal of Mathematics, ISSN: 0035-7596, 51(2): 413-421 (April 2021) DOI: 10.1216/rmj.2021.51.413.
  • An iterative scheme for the oscillation criteria of a nonlinear delay differential equation with several deviating arguments, R. Basu.(Accepted in Asian European Journal of Mathematics, 2021. https://doi.org/10.1142/S1793557122500711

2019

  • Functions Preserving Limit Superior, R. Basu, Kannan, K. Sannyasi, N. Unnikrishnan, College Mathematics Journal, ISSN : 07468342, 19311346, (2019), 50(1), 58-60, DOI: doi.org/10.1080/07468342.2019.1534489.
  • S. Panigrahi, R Basu, Necessary and sufficient conditions for oscillation of a neutral delay differential equations with positive and negative coefficients, Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms, 26(1), 1-21, 2019.

    • 2018

    • Study of Transitivity Through Steepness, V. Kannan, R. Basu, K. Sannyasi, N. Unnikrishnan,Topology Proceedings, ISSN: 2331-1290, (2018), 52, 1-12. DOI: //topology.auburn.edu/tp/52001.

    2017

    2016

    • Oscillation results for higher order nonlinear neutral differential equations, S. Panigrahi, R. Basu, International Journal of Dynamical Systems and Differential Equations,ISSN: 1752-3591, (2016), 6, 16-35. DOI : 1504/IJDSDE.2016.074573.
    • Oscillation results for third order nonlinear mixed neutral differential equations, S. Panigrahi, R. Basu, Mathematica Slovaca, ISSN: 1337-2211,(2016), 66, 869-886. DOI: org/10.1515/ms-2015-0189.

    2015

    • Oscillation results for higher order nonlinear neutral differential equations with positive and negative coefficients, S. Panigrahi, R. Basu, Journal of Applied Analysis, ISSN: 1869-6082, (2015), 109-121. DOI: org/10.1515/jaa-2015-0011/
    • Oscillation criteria for odd higher order nonlinear neutral differential equations with positive and negative coefficients, S. Panigrahi, R. Basu, Differential Equations And Applications, ISSN : 1848-9605, (2015), 7, 363-384. DOI: doi.org/10.7153/dea-07-21.

    2014

    • Oscillation Criteria for second order neutral differential equations with positive and negative coefficients, S. Panigrahi, R. Basu, Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis, ISSN: 1918-2538, (2014), 21, 171-186. DOI: https://online.watsci.org/abstract_pdf/2014v21/v21n2a-pdf/2.pdf.
    • Oscillatory and asymptotic behaviour of fourth order nonlinear neutral delay differential equations with positive and negative coefficients, A. K. Tripathy, S. Panigrahi, R. Basu, Fasciculi Mathematici, ISSN: 0044-4413, (2014), 52, 155-174. DOI: 21008.

    2013

    • Oscillation results for fourth order nonlinear neutral differential equations with positive and negative coefficients, A. K. Tripathy, S. Panigrahi, R. Basu, Journal of Mathematical Sciences, ISSN : 1573-8795, (2013), 194, 453-471. DOI: https://link.springer.com/article/10.1007/s10958-013-1540-1

    2012

    • Oscillation results for fourth order nonlinear mixed neutral differential equations with quasi-derivatives, S. Panigrahi, R. Basu,Functional Differential Equations, ISSN: 2617-8605, (2012), 19, 195-211. DOI: https://www.ariel.ac.il/wp/fde/.
    • Oscillation of nonlinear neutral differential equations of fourth order with several delays, S. Panigrahi, R. Basu, Annals of the Academy of Romanian Scientists, ISSN : 2066-6594, (2012), 4, 59-89. DOI: http://aos.ro/editura/analeleaosr/annals-on-mathematics/archive/volume-4-no-1-2012
    • Post Doc. Research Area: Dynamical Systems and Real Analysis.
      (Kothari Fellowship)
    • Ph.D. Research Area: Oscillation Results of Neutral Delay Differential Equations.(CSIR-NET)
    • 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.