EXISTENCE OF A STABLE STATIONARY SOLUTION WITH A TWO-SCALE TRANSITION LAYER OF A SYSTEM OF TWO DIFFUSION EQUATIONS WITH QUASIMONOTONICITY CONDITIONS OF DIFFERENT SIGNSтезисы доклада
Аннотация:We consider the question of the conditions for the existence of a stable stationary solution for the system of parabolic equations of activator-inhibitor type with specific quasimonotonicity conditions that are characteristic for the systems of this type.The existence and stability theorems were proved using the method of the upper and lower solutions. Due to the quasimonotonicity conditions the algorithm for constructing the upper and lower solutions is more complicated in comparison with the previous works on the same topic