B.K.Kakumani, S.P.Yadav; On the Blow-Up Result for a Viscoelastic Plate Equation with Nonlinear Frictional Damping, Mathematical Notes, Vol. 118 (3), pp. 556–563, 2025.
S.P.Yadav, B.K.Kakumani; Existence and blow-up for a viscoelastic plate equation with nonlinear damping and logarithmic nonlinearity, Journal of Mathematical Sciences, Oct. 2025. DOI: https://doi.org/10.1007/s10958-025-08037-z
B.K.Kakumani, S.P.Yadav; Global Existence for a viscoelastic plate equation with logarithmic nonlinearity, June 2025 (Accepted).
B.K.Kakumani, S.P.Yadav; Global existence and asymptotic behaviour for a viscoelastic plate equation with nonlinear damping and logarithmic nonlinearity, Applicable Analysis, August 2023. DOI: 10.3233/ASY-231859
B. K. Kakumani & S.K. Tumuluri; A convergent numerical scheme to a McKendrick–von Foerster equation with diffusion, International Journal of Computer Mathematics, February 2023. DOI: 10.1080/00207160.2023.2186154
B.K.Kakumani, S.P.Yadav; Decay estimate in a viscoelastic plate equation with past history, nonlinear damping, and logarithmic nonlinearity, Boundary Value Problems, 2022, 95(2022). DOI: https://doi.org/10.1186/s13661-022-01674-2
B.K.Kakumani; Optimal control of nonlinear renewal equation, International Journal of Control; Volume 3; 570-578; 2019. DOI:10.1080/00207179.2019.1600032.
Philippe Michel and B.K.Kakumani; GRE methods for nonlinear model of evolution equation and limited ressource environment, Discrete and Continuous Dynamical Systems - Series B; Volume 24 Issue 12; 6653-6673; 2019. DOI:10.3934/dcdsb.2019161.
B.K.Kakumani and S.K.Tumuluri; A numerical scheme to the McKendrickvon Foerster equation with diffusion in age, Numerical methods for partial differential equation, Volume 34 issue 6, 2018, pp 2113 – 2128.
B.K.Kakumani and S.K.Tumuluri; Asymptotic behavior of the solution of a diffusion equation with nonlocal boundary conditions, Discrete and Continuous Dynamical Systems – Series B, Volume 22 Issue 2, 2017, pp 407 – 419.
B.K.Kakumani and S.K.Tumuluri; On a nonlinear renewal equation with Diffusion, Mathematical Methods in the Applied Sciences, Volume 39 Issue 4, 2016, pp 697 – 708.
B.K.Kakumani and S.K.Tumuluri; Extinction and blow-up phenomena in a nonlinear gender structured population model, Nonlinear Analysis: Real World Applications, Volume 28, 2016, pp 290 – 299.
B.K.Kakumani and S.K.Tumuluri; Exact Solutions of Certain Class of Porous Medium Equations using Variational Iteration Method, Pacific Journal of Applied Mathematics, Volume 4 Issue 4, 2012, pp 219–224.