On the existence of periodic solutions of equations with strongly increasing principal part

V. V. Filippov

Sbornik. Mathematics, Tome 193 (2002) no. 11, pp. 1707-1729

Résumé

In this paper the author continues the extension of the theory of boundary-value problems to ordinary differential equations and inclusions with discontinuous right-hand sides on the basis of the construction of a new version of the method of translation along trajectories. A machinery for the proof of the existence of periodic solutions of second-order equations with superlinearly increasing terms is developed.

Bibliographie

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