This article is cited in 7 papers

Bounded solutions of differential inclusions with homogeneous principal parts

V. S. Klimov

Orel State University

Abstract: We formulate conditions for the existence of stationary and bounded solutions of differential inclusions with homogeneous principal parts and establish formulae for the calculation of the index of the zero singular point of a homogeneous multivalued vector field.

MSC: 58C30, 55M20, 58E05, 35K55, 34G99, 34A60, 34A26, 34C11, 34A34, 47E05, 47F05

Received: 21.12.1998

DOI: 10.4213/im296

 English version: Izvestiya: Mathematics, 2000, 64:4, 755–776

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