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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Podrobná bibliografie
Vydáno v:	Journal of Differential Equations Ročník 440; s. 113419
Hlavní autor:	Peng, Yaqun
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Elsevier Inc 25.09.2025
Témata:	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
On-line přístup:	Získat plný text
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Popis
Shrnutí:	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.
ISSN:	0022-0396
DOI:	10.1016/j.jde.2025.113419