Andres: Boundedness results of solutions to the equation $x^{\prime\prime\prime} + ax^{\prime\prime}+ g (x) x^{\prime}+ h (x) = p (t)$ without the hypothesis $h (x) \, \operatorname{sgn} x \ge 0$ for $|x|

Andres, Ján:
Boundedness results of solutions to the equation $x^{\prime\prime\prime} + ax^{\prime\prime}+ g (x) x^{\prime}+ h (x) = p (t)$ without the hypothesis $h (x) \, \operatorname{sgn} x \ge 0$ for $|x| > R$.
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Serie 8 80 (1986), fasc. n.7-12, p. 533-539, (English)
pdf (803 Kb), djvu (755 Kb). | MR 0976947 | Zbl 0722.34027

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Per l'equazione differenziale ordinaria non lineare del 3° ordine indicata nel titolo, studiata da numerosi autori sotto l'ipotesi $h (x) \, \text{sgn} x \ge 0$$for |x| > R$, si dimostra l'esistenza di almeno una soluzione limitata sopprimendo l'ipotesi suddetta.

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Referenze Bibliografiche