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Generalized and classical almost periodic solutions of Lagrangian systems convex on a compact set

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Abstract

By using the variational method, we establish sufficient conditions for the existence of generalized Besicovitch almost (quasi)periodic solutions and classical quasiperiodic solutions of natural Lagrangian systems with force functions convex on a compact set.

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Authors and Affiliations

  1. Kiev University, Kiev

    S. F. Zakharin & I. O. Parasyuk

Authors
  1. S. F. Zakharin
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  2. I. O. Parasyuk
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 50, No. 12, pp. 1601–1608, December, 1998.

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Zakharin, S.F., Parasyuk, I.O. Generalized and classical almost periodic solutions of Lagrangian systems convex on a compact set. Ukr Math J 50, 1827–1836 (1998). https://doi.org/10.1007/BF02514199

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  • DOI: https://doi.org/10.1007/BF02514199

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