an:00774606
Zbl 0823.34003
Vladimirov, A. A.; Krasnosel'skij, M. A.; Chernorutskij, V. V.
The Cauchy problem for systems with hysteresis
EN
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).
00026034
1993
j
34A12 34A34
systems of ordinary differential equations with hysteresis nonlinearities; uniqueness; Cauchy problem; integral funnel
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.