The universal bound property for a class of second order ODEs

  • Mama Abdelli

    Université Djillali Liabès, Sidi Bel Abbès, Algeria
  • Alain Haraux

    (corresponding author) Ton Duc Thang University, Ho Chi Minh City, Vietnam, Sorbonne Université, Paris, France
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Abstract

We consider the scalar second order ODE , where are two positive numbers and the non-linear semi-group generated on by the system in . We prove that is bounded for all whenever and moreover there is a constant independent of the initial data such that

Cite this article

Mama Abdelli, Alain Haraux, The universal bound property for a class of second order ODEs. Port. Math. 76 (2019), no. 1, pp. 49–56

DOI 10.4171/PM/2026