SYNTHESIS OF N-VINYLFORMAMIDE AND 1-VINYL-(1-METHACRYLOYL)-3,5-DIMETHYLPYRAZOLE COPOLYMERS AND THEIR EXTRACTION ABILITY IN RELATION TO HISTIDINE IN WATER-SALT MEDIA
Polymer Bulletin. Springer Verlag. Том 75. 2018. С. 1237-1251
A system of ordinary differential equations whose right-hand side has no limit at some singular point is considered. This situation is typical of mechanical systems with Coulomb friction in a neighborhood of equilibrium. The existence and uniqueness of solutions to the Cauchy problem is analyzed. A key property is that the phase curve reaches the singular point in a finite time. It is shown that the subsequent dynamics depends on the extension of the vector field to the singular point according to the physical interpretation of the problem: systems coinciding at all point, except for the singular one, can have different solutions. Uniqueness conditions are discussed. © 2018, Pleiades Publishing, Ltd.