caa a22 4500 477109012 CHVBK 20180405111603.0 cr unu---uuuuu 170330e19961001xx s 000 0 eng 10.1007/BF01128138 doi (NATIONALLICENCE)springer-10.1007/BF01128138 Properties of solutions of a nonlinear system of equations [Elektronische Daten] [P. Naumkin, I. Shishmarev] The objective of this paper is to study a highly general model system of nonlinear equations that describe propagation of nerve impulses in a cell. We prove time-local existence of a classical solution, derive sufficient conditions for the existence of a time-global solution, and consider the question of eventual smoothing of discontinuous initial values. The large-time asymptotic expansion of the solutions of the Cauchy problem is constructed. The coefficients of the principal term of the asymptotic expression for the solution of the Cauchy problem are computed in terms of the Fourier transform of the initial values. Plenum Publishing Corporation, 1996 Naumkin P. aut Shishmarev I. aut Computational Mathematics and Modeling Kluwer Academic Publishers-Plenum Publishers 7/4(1996-10-01), 399-426 1046-283X 7:4<399 1996 7 10598 https://doi.org/10.1007/BF01128138 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF01128138 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Naumkin P. aut NATIONALLICENCE 700 1- Shishmarev I. aut NATIONALLICENCE 773 0- Computational Mathematics and Modeling Kluwer Academic Publishers-Plenum Publishers 7/4(1996-10-01), 399-426 1046-283X 7:4<399 1996 7 10598 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer