Existence of bounded solutions for a non-periodic sublinear equation with an obstacle

被引：0

作者：

Peng, Yaqun ^{[1
]}

机构：

[1] Sun Yat Sen Univ, Sch Math Zhuhai, Zhuhai 519000, Peoples R China

来源：

NONLINEARITY | 2024年 / 37卷 / 12期

关键词：

non-periodic forcing; sublinear equation with an obstacle; bounded solutions; implicit function theorem; non-periodic twist maps' theory; PERIODIC-SOLUTIONS; TWIST MAPS;

D O I：

10.1088/1361-6544/ad8c8f

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove that the sublinear equation with an obstacle {(sic) + u(alpha) =p(t), 0 < alpha < 1, {u >= 0, {u (t(0))= 0 (sic) (t(0)(+)) = - (sic) (t(0)(-)) has infinitely many bounded solutions for non-periodic forcing p by the implicit function theorem and the non-periodic twist maps' theory established by Kunze and Ortega.

引用

页数：29

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