Asymptotic behavior of a delay predator-prey system with stage structure and variable coefficients.
Asymptotic behavior of a predator-prey diffusion system with time delays.
Asymptotic behavior of solutions of a partial functional differential equation.
Asymptotic behavior of the numerical solutions of time-delayed reaction diffusion equations with non-monotone reaction term
This paper is concerned with the asymptotic behavior of the finite difference solutions of a class of nonlinear reaction diffusion equations with time delay. By introducing a pair of coupled upper and lower solutions, an existence result of the solution is given and an attractor of the solution is obtained without monotonicity assumptions on the nonlinear reaction function. This attractor is a sector between two coupled quasi-solutions of the corresponding “steady-state” problem, which are obtained...
Asymptotic behavior of the numerical solutions of time-delayed reaction diffusion equations with non-monotone reaction term
This paper is concerned with the asymptotic behavior of the finite difference solutions of a class of nonlinear reaction diffusion equations with time delay. By introducing a pair of coupled upper and lower solutions, an existence result of the solution is given and an attractor of the solution is obtained without monotonicity assumptions on the nonlinear reaction function. This attractor is a sector between two coupled quasi-solutions of the corresponding “steady-state" problem, which are...
Attractivity of nonlinear impulsive delay differential equations.