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# Traveling waves connecting equilibrium and periodic orbit for reaction – diffusion equations with time delay and nonlocal response

@inproceedings{Huang2008TravelingWC, title={Traveling waves connecting equilibrium and periodic orbit for reaction – diffusion equations with time delay and nonlocal response}, author={Wenzhang Huang}, year={2008} }

- Published 2008

A class of reaction–diffusion equations with time delay and nonlocal response is considered. Assuming that the corresponding reaction equations have heteroclinic orbits connecting an equilibrium point and a periodic solution, we show the existence of traveling wave solutions of large wave speed joining an equilibrium point and a periodic solution for reaction–diffusion equations. Our approach is based on a transformation of the differential equations to integral equations in a Banach space and… CONTINUE READING