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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Veröffentlicht in:Journal of Differential Equations Jg. 440; S. 113419
1. Verfasser: Peng, Yaqun
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Elsevier Inc 25.09.2025
Schlagworte:
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
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Beschreibung
Zusammenfassung: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