PageHeader : Funkcialaj Ekvacioj, 27 (1984), 1-24 Title : On the Cauchy Problem for Volterra-Lotka's Competition Title : Equations with Migration Effect and Its Title : Travelling Wave Like Solutions AuthorInfo : By AuthorInfo : Syozo NIIZEKI AuthorInfo : (Kochi University, Japan) section : Introduction. section : 1. Introduction of $u_{n}(x, t)$ and $v_{n}(x, t)$ . section : 2. Introduction of $\tilde{u}_{n}(x, t)$ , $\tilde{v}_{n}(x, t),\overline{u}_{n}(x, t)$ and $\overline{v}_{n}(x, t)$ . section : 3. Estimates of $u_{n}(x, t)$ and $v_{n}(x, t)$ . section : 4. Estimates of $\tilde{u}_{n}(x, t),\tilde{v}_{n}(x, t),\overline{u}_{n}(x, t)$ and $\overline{v}_{n}(x, t)$ . section : 5. The proof of main theorem. section : 6. Existence of traveling wave like solutions. section : Appendix. section : References