Existence of bounded solutions for a non-periodic sublinear equation

We prove that u¨+|u|α−1u=p(t),0<α<1 has infinitely many bounded solutions for bounded and measurable forcing p by the implicit function theorem and the non-periodic twist theory established by Kunze and Ortega.

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Bibliographic Details
Published in:	Journal of Differential Equations Vol. 440; p. 113419
Main Author:	Peng, Yaqun
Format:	Journal Article
Language:	English
Published:	Elsevier Inc 25.09.2025
Subjects:	Bounded solutions Implicit function theorem Non-periodic forcing Non-periodic twist theory Sublinear equation 34C15 37J25 Sublinear equation Non-periodic forcing Bounded solutions Implicit function theorem 70H08 34A09 Non-periodic twist theory
ISSN:	0022-0396
Online Access:	Get full text
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