Differential Equations

Lower approximation of systems of differential inclusions of one kind with slow and fast variables

E. V. Sokolovskaya

Samara State University

Abstract: We prove the theorem on lower approximation of the systems of differential inclusions of some kind with slow and fast variables and one-sidedly Lipschitz right part. The condition of one-sided Lipschitzness by phase variables is not required for the mapping in the right part of averaged differential inclusion.

UDC: 517.928

Received 23.11.2006

DOI: 10.14498/vsgtu524

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