Annali di Matematica Pura ed Applicata

, Volume 92, Issue 1, pp 199–209 | Cite as

An extension of Ezeilo's result

  • Rolf Reissig


In a recent paper[1] Ezeilo considered the nonlinear third order differential equation x‴ + ω(x′)x″ + ω(x)x′ + ϑ(x, x′, x″)=p(t). He proved the ultimate boundedness of the solutions on rather general conditions for the nonlinear terms ϕ, ϕ, ϑ. These conditions (in a little weaker form) are also sufficient in order to prove the existence of forced oscillations in the case when the excitation is ω-periodic. For this purpose the Lerag-Schauder principle in a form suggested by G. Güssefeldt[2] is applicable.


Differential Equation General Condition Nonlinear Term Weak Form Order Differential Equation 
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Copyright information

© Nicola Zanichelli Editore 1972

Authors and Affiliations

  • Rolf Reissig
    • 1
  1. 1.Bochum

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