On nonexistence of global in time solution for a mixed problem for a nonlinear evolution equation with memory generalizing the Voigt-Kelvin rheological model

Abstract

Abstract. The paper deals with investigating of the first mixed problem for a fifth-order nonlinear evolutional equation which generalizes well known equation of the vibrations theory. We obtain sufficient conditions of nonexistence of a global solution in time variable.

Global stability analysis of an SVEIR epidemic model with general incidence rate

“…In general, there are two distinct techniques named Lyapunov's direct method and Li-Muldowney's geometric approach to give sufficient conditions of global stability for the equilibrium states (see, for example, [7][8][9][10][11][12][13][14]). We would like to mention some related work concerned with the existence of positive solutions for the discrete fractional boundary value problem [15], the sensitivity analysis for optimal control problems governed by nonlinear evolution inclusions [16] and the nonexistence of global in time solution of the mixed problem for the nonlinear evolution equation with memory generalizing the Voigt-Kelvin rheological model [17].…”

Mathematical model of a part of an opened extra-high voltage electrical grid

“…For the purposes of analysing transient processes in the part of the opened electrical grid, shown in Fig. 1, we suggest using a modified Hamilton-Ostrogradsky principle [5] The extended functionality of the mathematical operation for the studied system according to Hamilton-Ostrogradskii will be similar to that presented in [5][6][7][8]…”

Design of a recommendation system based on collaborative filtering and machine learning considering personal needs of the user

“…The result is a sparse matrix of users' rating with insufficient data to identify such users or goods, which adversely affects quality of recommendations [49]. Data sparsity prevails in CF RS that rely on a feedback from peers for giving recommendations [50]. Data sparsity in cross-domain recommendations is often tackled by using a factorization model of the triad relation user-item-domain [51].…”