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

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

• 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.pdf