International Journal of Differential Equations
- Int. J. Differ. Equ.
- Volume 2019 (2019), Article ID 7205865, 6 pages.
Blow-Up Solution of Modified-Logistic-Diffusion Equation
Modified-Logistic-Diffusion Equation with Neumann boundary condition has a global solution, if the given initial condition satisfies , for all . Other initial conditions can lead to another type of solutions; i.e., an initial condition that satifies will cause the solution to blow up in a finite time. Another initial condition will result in another kind of solution, which depends on the diffusion coefficient . In this paper, we obtained the lower bound of , so that the solution of Modified-Logistic-Diffusion Equation with a given initial condition will have a global solution.
Int. J. Differ. Equ., Volume 2019 (2019), Article ID 7205865, 6 pages.
Received: 31 July 2018
Revised: 19 October 2018
Accepted: 19 November 2018
First available in Project Euclid: 26 February 2019
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Digital Object Identifier
Sitompul, P.; Soeharyadi, Y. Blow-Up Solution of Modified-Logistic-Diffusion Equation. Int. J. Differ. Equ. 2019 (2019), Article ID 7205865, 6 pages. doi:10.1155/2019/7205865. https://projecteuclid.org/euclid.ijde/1551150359