Rakhee Basu

Assistant Professor Department of Mathematics emaiolsrakhee.basu@mahindrauniversity.edu.in phone040-67135223

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 (Kothari Fellowship)- 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%)
Experience

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

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

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.

Teaching Experience:

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

  • 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. (Impact Factor : 0.758)
  • 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.(Impact Factor: 0.822) https://doi.org/10.1142/S1793557122500711
  • 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. (Impact factor : 0.13)
  • 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.(Impact factor: 0.14)
  • Oscillation results for fourth order nonlinear neutral differential equations with quasi-derivatives, S. Panigrahi, R. Basu, Functional Differential Equations, ISSN: 2617-8605, (2017), 24, 95-110. DOI: https://www.ariel.ac.il/wp/fde/wp-content/uploads/sites/97/2019/03/OSCILLATION-RESULTS-OF-FOURTH-ORDER-24.3-4.pdf. (Impact factor : 0.20)
  • Oscillation criteria for a forced second order neutral delay differential equations, S. Panigrahi, R. Basu, Functional Differential Equations, ISSN: 2617-8605, (2017), 24, 27-44. DOI: https://www.ariel.ac.il/wp/fde/wp-content/uploads/sites/97/2019/03/OSCILLATION-CRITERIA-FOR-A-FORCED-SECOND-24.1-2.pdf. (Impact factor : 0.20)
  • 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. (Impact factor : 0.40)
  • 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. (Impact factor: 0.65)
  • 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/ (Impact factor: 0.475)
  • 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.(Impact factor: N/A )
  • 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. (Impact factor: 0.19)
  • 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 http://www.math.put.poznan.pl/artykuly/FM52(2014)-TripathyAK-PanigrahiS-BasuR.pdf ( Impact factor : 0.12)
  • 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 (Impact Factor : 0.30)
  • 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/. (Impact factor :0.20)
  • 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( Impact factor: 0.11)
Research

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.