The paper is dedicated to the modeling of elasticity problem for a textile structure. made long and thin fibers, crossing each other in periodic pattern, forming woven canvas square domain. partially clamped. fibers cannot penetrate but can slide with respect in-plane directions. sliding bounded by contact function, which chosen loose. partial clamp loose lead domain partitioning, different exp...

In this paper we investigate the long-time behavior of subordination constant speed traveling waves by a general class kernels. We use Feller--Karamata Tauberian theorem in order to study upper and lower wave. As result obtain for propagation front

As the classic branching process, Galton-Watson process has obtained intensive attentions in past decades. However, this model two idealized assumptions–discrete states and time-homogeneity. In present paper, we consider a with continuous states, for any given n∈N, law of every particle generation n is determined by population size n. We case that extinct Probability 1 since will be substantial...