On the theory of differential games of escape

The paper consists of three sections. In § 1 a simplified proof is obtained of Pontryagin's escape theorem, differing from his in that in the so-called fine case no integral equation is solved. In § 2, at the expense of restricting the class of controls available to the pursuer, the theory is in a definite sense freed of the constant $\mu$ occurring in Pontryagin's escape theorem. In § 3 a sufficient escape condition is presented for quasilinear games, and examples are also considered.
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