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On Pontryagin's First Direct Method in Pursuit Problems A. A. Azamov Institute for Mathematics and Information Technologies of the National Academy of Sciences of Uzbekistan Abstract: We describe an example of a three-dimensional linear differential game with convex compact sets of control. In this example, the integrand in Pontryagin's first direct method is discontinuous on a set of positive measure. Keywords: linear differential game, Pontryagin direct method, convex compact set of control, stroboscopic strategy, Lebesgue measurability, Borel measurability, Aumann integral, Hausdorff metric, Cantor discontinuum DOI: https://doi.org/10.4213/mzm6603   Full text:
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English version: Mathematical Notes, 2011, 90:2, Bibliographic databases:   
UDC: 519.978.2 Received: 06.10.2008 Citation: A. A. Azamov, “On Pontryagin's First Direct Method in Pursuit Problems”, Mat. Zametki, 90:2 (2011), 
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