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.
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页数：29
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