Existence of solutions reaction-diffusion systems equations in unbounded domains is studied by the Leray–Schauder (LS) method based on topological degree for elliptic operators and a priori estimates weighted spaces. We identify some which there exist two subclasses separated function space, monotone nonmonotone solutions. A existence are obtained allowing to prove their LS method. Various appl...

A class of evolution equations with nonlocal diffusion is considered in this work. These are integro-differential arising as models propagation phenomena continuum media interactions including neural tissue, porous media, peridynamics, and fractional diffusion, well limits interacting dynamical systems. The principal challenge numerical integration systems stems from the lack spatial regularity...

Abstract Data that may be used for personalised recommendation purposes can intuitively modelled as a graph. Users linked to item data; data data. With such model, the task of recommending new items users or making connections between undertaken by algorithms designed establish relatedness vertices in One class algorithm is based on random walk, whereby sequence connected are visited an underly...