PERIODIC SOLUTIONS OF HIGHER ORDER SYSTEMS

@inproceedings{Bates1979PERIODICSO,
  title={PERIODIC SOLUTIONS OF HIGHER ORDER SYSTEMS},
  author={Peter W. Bates and James Ward},
  year={1979}
}
where u, g, and / are Λ-vectors. We will establish the existence of T-periodic solutions to (1.1) for large classes of nonlinearities g and forcing terms /. In particular we include cases where g is bounded, sublinear, or superlinear in u9 with arbitrary growth in the other arguments of g in the latter case. We also include cases in which g is mildly singular in t or vanishes at an endpoint of the interval. The second order scalar version of (1.1) has received attention recently with new and… CONTINUE READING

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