A class of the linear impulsive periodic system with time-varying generating operators on Banach space is considered. By constructing the impulsive evolution operator, the existence of T0-periodic PC-mild solution for homogeneous linear impulsive periodic system with time-varying generating operators is reduced to the existence of fixed point for a suitable operator. Further the alternative res...

In this paper, we analyse the existence and uniqueness of a time-periodic solution to chemotaxis-shallow water system in periodic domain. Under assumption some smallness symmetric external force, is established using method parabolic regularization limit process. The proved by energy estimates.

This paper focuses on a fractal Phi-4 equation with time-space derivatives, though its solitary solutions have been deeply studied, periodic solution was rarely revealed due to strong non-linearity. Now the condition is completely changed, He?s frequency formulation provides universal tool having deep insight into property of equation. The two-scale transform used convert approximately differen...

in this paper, newton harmonic balance method (nhbm) is applied to obtain the analytical solution for an electron beam injected into a plasma tube where the magnetic field is cylindrical and increases towards the axis in inverse proportion to the radius. periodic solution is analytically verified and consequently the relation between the natural frequency and the amplitude is obtained in an ana...

We discuss a diffusively perturbed predator-prey system. Freedman and Wolkowicz showed that the corresponding ODE can have a periodic solution that bifurcates from a homoclinic loop. When the diffusion 6oefficients are large, this solution represents a stable, spatially homogeneous time-periodic solution of the PDE. We show that when the diffusion coefficients become small, the spatially homoge...