the aim of the present paper is the investigation of some problems which can be reduced to thegoursat problem for a third order equation. some results and theorems are given concerning the existence anduniqunce for solving the suggested problem.

In this talk, I will introduce the stability of traveling front solutions for a pseudoparabolic Fisher-KPP equation. By applying geometric singular perturbation method, special Evans function estimates, detailed spectral analysis and C0 semigroup theories, all the traveling front solutions with non-critical speeds are proved to be locally exponentially stable in some appropriate exponentially w...

Pseudoparabolic equations in periodic media are homogenized to obtain upscaled limits by asymptotic expansions and two-scale convergence. The limit is characterized and convergence is established in various linear cases for both the classical binary medium model and the highly heterogeneous case. The limit of vanishing time-delay parameter in either medium is included. The double-porosity limit...