This article is cited in 2 papers

Stability Theorems in the First-Order Approximation for Differential Inclusions

V. S. Klimov

P. G. Demidov Yaroslavl State University

Abstract: We establish multi-valued and infinite-dimensional versions of stability theorems in the first-order approximation. The differential inclusions treated as first-order approximations can be nonautonomous and, in several cases under study, nonhomogeneous with respect to the phase variable. We outline applications in stability theory of solutions to parabolic inclusions.

UDC: 517.958

Received: 22.01.2003

DOI: 10.4213/mzm128

 English version: Mathematical Notes, 2004, 76:4, 478–489

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