Subharmonic Solutions of Conservative-systems With Nonconvex Potentials

Fonda, A.;Lazer, AC.
(1992) Proceedings of the American Mathematical Society — Vol. 115, n° 1, p. 183-190 (1992)

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Authors
  • Fonda, A.
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  • Lazer, AC.
    Author
Abstract
We consider the system of second order differential equations u" + del G(u) = e(t) = e(t + T), where the potential G: R(n) --> R is not necessarily convex. Using critical point theory, we give conditions under which the system has infinitely many subharmonic solutions.
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Fonda, A., & Lazer, AC. (1992). Subharmonic Solutions of Conservative-systems With Nonconvex Potentials. Proceedings of the American Mathematical Society, 115(1), 183-190. https://doi.org/10.1090/S0002-9939-1992-1087462-X (Original work published 1992)