Travelling Wave Solutions in Delayed Reaction Diffusion Systems with Partial Monotonicity

نویسندگان

  • Jian-hua Huang
  • Xing-fu Zou
چکیده

This paper deals with the existence of travelling wave fronts of delayed reaction diffusion systems with partial quasi-monotonicity. We propose a concept of “desirable pair of upper-lower solutions”, through which a subset can be constructed. We then apply the Schauder’s fixed point theorem to some appropriate operator in this subset to obtain the existence of the travelling wave fronts.

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تاریخ انتشار 2006