CRITERIA OF COMPACTNESS IN Lp - SPACES
Vladimir Ivanovich Chilin, B.A. RAKHIMOV · International Journal of Modern Physics Conference Series · 2012
The problems of mathematical biology, as a rule, are formulated in terms of independent and depended (unknown) variables (functions), and operators (mostly differential operators). These variables belong to some spaces and operators acting in these spaces. Both, unknown variables and operators, follow the main rules of these spaces as metrics, topology and etc. In applications a solution of the problem will be constructed by approximation methods based on metrics/topology of the space. In this convergence of the constructed approximations essentially depends on compactness.