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 Would like to pursue teaching as a career.

2015-2018

University of Hyderabad: Post-Doc (Kothari Fellowship)

2009-2015

University of Hyderabad: Ph.D.

2005-2007 (79.5%)

University of Calcutta: M.Sc., Applied Mathematics

2002-2005 (72%)

Calcutta University: B.Sc., Mathematics (Hons)

2000 - 2002 (77%)

Intermediate: Duration

2000 (89.90%)

S.S.C: Year of Passing

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:

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

2024

  • Basu, R., Lather, J. “An Iterative Method for the Qualitative Analysis of Nonlinear Neutral Delay Differential Equations”. J Math Sci (2024). https://doi.org/10.1007/s10958-024-06954-z

    • 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

    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.