zbMATH — the first resource for mathematics

The Cauchy problem for systems with hysteresis. (English. Russian original) Zbl 0823.34003
Russ. Acad. Sci., Dokl., Math. 48, No. 3, 502-506 (1994); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 333, No. 3, 285-287 (1993).
Summary: Systems of ordinary differential equations with hysteresis nonlinearities are studied. General conditions are presented for solvability and uniqueness in the case of the Cauchy problem; the structure of the integral funnel is studied.
34A12 Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations
34A34 Nonlinear ordinary differential equations and systems, general theory