Dr. Upeksha Perera

• Sturm-Liouville theory

• Artificial Neural Networks, Fuzzy systems

Books

Perera, B.B.U.P. Solutions of direct and inverse Sturm–Liouville problems, (PhD Thesis) Universität Potsdam, Germany, 2021. https://publishup.uni-potsdam.de/files/53006/perera_diss.pdf

Book Chapters

Perera, B.B.U.P., & Piyadasa, R.A.D. (2016). Proof of Fermat’s Last Theorem for n= 3 Using Tschirnhaus Transformation. In Forging Connections between Computational Mathematics and Computational Geometry (133-136). Springer, Cham. http://dx.doi.org/10.5176/22511911_CMCGS14.34_12

Journal Publications

• Perera, B.B.U.P., & Böckmann, C. (2020). “Solutions of Sturm-Liouville Problems”. Mathematics, 8(11), 2074. https://doi.org/10.3390/math8112074

• Perera, B.B.U.P. & Böckmann, C. (2020). Solutions of Sturm-Liouville Problems. Mathematics, 8(11), 2074. https://doi.org/10.3390/math8112074

• Perera, B.B.U.P & Böckmann, C. (2019). Solutions of Direct and Inverse Even-Order Sturm-Liouville Problems Using Magnus Expansion. Mathematics, 7(6), 544. doi:10.3390/math7060544           

• Allen, E. & Perera, B.B.U.P. (2018). Biological Aging Modeled With Stochastic Differential Equations. Communications in Applied Analysis 22(2), 271-293. doi:10.12732/caa.v22i2.8. https://acadsol.eu/en/articles/22/2/8.pdf

• Fujimoto, T., Perera, B.B.U.P. & Giorgi, G. (2018). A proof of the Farkas–Minkowski theorem by a tandem method. Metroeconomica, 69(1), 142-150. https://doi.org/10.1111/meca.12173

• Perera, B.B.U.P. & Wijewickrema, M. (2018). Relationship between Journal-Ranking Metrics for a Multidisciplinary Set of Journals. portal: Libraries and the Academy 18(1), 35-58. doi:10.1353/pla.2018.0003.

• Fujimoto, T. & Perera, B.B.U.P. (2017). Eisenberg's Duality in Homogeneous Programming, Shephard's Duality and Economic Analysis. Metroeconomica, 68(4), 816-832. https://onlinelibrary.wiley.com/doi/abs/10.1111/meca.12144

• Fujimoto, T., Perera, B.B.U.P. & Giorgi, G. (2016). Two proofs of the Farkas-Minkowski theorem by a tandem method and by use of an orthogonal complement. DEM Working Paper Series, University of Pavia, Department of Economics and Management, 129(11-16) http://economia.unipv.it/docs/dipeco/quad/ps/RePEc/pav/demwpp/DEMWP0129.pdf

• Perera, B.B.U.P., Dissanayake, R., & Jayasundara, M. (2016). Assessing the Impact of S&P SL20 Index Construction on Listed Companies in Colombo Stock Exchange (CSE). International Journal of Economics and Finance, 8(7): 159-177 DOI: http://dx.doi.org/10.5539/ijef.v8n7p159

• Fujimoto, T., Perera, B.B.U.P., Giorgi, G., & Ranade, R. R. (2015). Nonlinear Generalizations of Farkas-Minkowski’s Theorem. 香川大学経済論叢 (Kagawa University Economic Review) 88(1), 1-17. http://shark.lib.kagawa-u.ac.jp/kuir/file/27691/20150809132417/AN00038281_88_1_17.pdf

• Perera, B.B.U.P. & Piyadasa, R.A.D. (2014). Proof of Fermat’s Last Theorem for n=3 using Tschirnhaus transformation, GSTF Journal of Mathematics, Statistics & Operations Research 2(2): 11-12, October 2014 http://dl6.globalstf.org/index.php/jmsor/article/download/1029/1045

Conference Papers (Peer-Reviewed)

• Prathibha, A.L.T. and Perera, B.B.U.P. “Off-line Signature Verification System using Artificial Neural Networks”, Proceedings of the 3rd International Research Symposium on Pure and Applied Sciences, October – 2018, Faculty of Science, University of Kelaniya, Sri Lanka http://repository.kln.ac.lk/handle/123456789/19303 

• Ravindran, U.M. and Perera, B.B.U.P. “Predator-Prey Model with Fuzzy Initial Conditions”, Proceedings of the 3rd International Research Symposium on Pure and Applied Sciences, October - 2018 Faculty of Science, University of Kelaniya, Sri Lanka http://repository.kln.ac.lk/handle/123456789/19344

• Perera, B.B.U.P. and Piyadasa, R.A.D. “Proof of Fermat’s Last Theorem for n=3 using Tschirnhaus transformation”, 3rd Annual International Conference on Computational Mathematics, Computational Geometry & Statistics, Singapore (CMCGS 2014) 

• Piyadasa, R.A.D., Ekanayake, E.M.P. and Perera, B.B.U.P. “On The Proof Of Strong Goldbach Conjecture”, Proceedings of the Wayamba University International Conference, Sri Lanka, 29 – 30 August 2014

• Shadini, A.M.D.M., Piyadasa, R.A.D. and Perera, B.B.U.P. “Uniqueness of roots of a cubic and proof of Fermat’s last theorem for n=3”, 12th Annual Research Symposium, University of Kelaniya 2011 http://www.kln.ac.lk/uokr/2011ARS/D22.pdf

• Piyadasa, R.A.D., Shadini, A.M.D.M. and Perera, B.B.U.P. “Useful identities in finding a simple proof for Fermat’s last theorem”, Proceedings of the Research Symposium 2010-Faculty of Graduate Studies, University of Kelaniya, 97-98 http://www.kln.ac.lk/uokr/ARS2010/P%203.5.pd

• National Research Council Merit Award 2021

• Senate honours for Research is awarded for conducting high-quality research and publishing in the years 2017, 2018, 2022

• Ronie De Mel Gold Medal awarded by the Ronie De Mel Trust Fund to the graduate who obtained a First Class Honors with the highest aggregate marks in the Final Examinations leading to the Degree of Bachelor of Science held in 2006.

• Wasantha Mohotti Memorial Gold Medal awarded by Dr.J.E.Mohotti to the graduate who obtained a First Class Honors with the highest aggregate marks in the Bachelor of Science Special Degree Examination in Physical Science held in 2006.

• Professor Isabelle Attali memorial, CIMPA (International Centre for Pure and Applied Mathematics, France) Gold Medal for the outstanding graduate who scored the highest aggregate at the Bachelor of Science Special Degree Examination in Mathematics with First Class Honors, in the year 2006 awarded by the Educational Support Foundation - Ruhuna Mathematics.