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Stability Theorems in the First-Order Approximation for Differential Inclusions

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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.

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  1. P. G. Demidov Yaroslavl State University, russia

    V. S. Klimov

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Klimov, V.S. Stability Theorems in the First-Order Approximation for Differential Inclusions. Mathematical Notes 76, 478–489 (2004). https://doi.org/10.1023/B:MATN.0000043478.69896.74

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