STABILITY OF A STATIONARY SOLUTION OF A SYSTEM OF ACTIVATOR–INHIBITOR-TYPE EQUATIONS WITH A DOUBLE-SCALE INTERNAL TRANSITION LAYERстатья
Информация о цитировании статьи получена из
Scopus
Статья опубликована в журнале из списка Web of Science и/или Scopus
Дата последнего поиска статьи во внешних источниках: 17 апреля 2024 г.
Аннотация:We study boundary value problems for systems of second-order ordinary differential equations with quasimonotonicityconditions typical of problems of activator–inhibitor type and with solutions containingdomains with large gradients. We obtain sufficient conditions for the existence of a stable stationarysolution. Using the asymptotic method of differential inequalities, we prove the existence and stabilitytheorems.