Global bifurcation curves of nonlocal elliptic equations with oscillatory nonlinear term

被引：1

作者：

Shibata, Tetsutaro ^{[1
]}

机构：

[1] Hiroshima Univ, Grad Sch Adv Sci & Engn, Higashihiroshima 7398527, Japan

来源：

ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS | 2023年 / 57期

关键词：

nonlocal elliptic equations; oscillatory bifurcation curves; asymptotic formulas; POSITIVE SOLUTIONS;

D O I：

10.14232/ejqtde.2023.1.57

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the one-dimensional nonlocal elliptic equation of Kirchhoff type with oscillatory nonlinear term. We establish the precise asymptotic formulas for the bifurcation curves lambda(alpha) as alpha -> infinity and alpha -> 0, where alpha := vertical bar mu lambda vertical bar..infinity 8 and mu lambda is the solution associated with.lambda We show that the second term of.(a) is oscillatory as alpha -> infinity.

引用

页码：1 / 17

页数：17

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