In this paper we consider a class of p-biharmonic parabolic equation with nonlocal nonlinearities and Neumann boundary condition. By constructing suitable auxiliary functions and using differential inequalities, we give blow-up criterion of solutions as well as extinction and non...
Open access
Research Article10.9734/JAMCS/2017/35755
The paper deals with a nonlinear equation in one-dimensional space, of which the nonlinearity appears both in source term and the Neumann boundary condition. Firstly, we proved that the solution of problem (1.1) quenches in finite time and the only quenching point is x = 0 if the...
Open access
Research Article10.9734/BJMCS/2016/28721
This paper deals with a reaction-diffusion equation subject to nonlinear nonlocal boundary condition and with nonlocal reaction source. We investigate the global existence and blow up in finite time of a nonnegative solution by using a sub-super solution method.
Open access
Research Article10.9734/BJMCS/2016/25746