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}
}
  • Wenzhang Huang
  • Published 2008
  • Mathematics
  • Abstract 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… CONTINUE READING

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