MULTIPLICITY OF POSITIVE SOLUTIONS FOR SECOND-ORDER DIFFERENTIAL INCLUSION SYSTEMS DEPENDING ON TWO PARAMETERS

被引：0

作者：

Yuan, Ziqing ^{[1
]}

Huang, Lihong ^{[1
]}

Zeng, Chunyi ^{[2
]}

机构：

[1] Hunan Univ, Coll Math & Econometr, Changsha 410082, Hunan, Peoples R China

[2] Southwest Univ Nationalities, Dept Fdn Educ, Chengdu 610000, Sichuan, Peoples R China

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2015年

基金：

中国国家自然科学基金;

关键词：

Neumann problem; differential inclusion system; locally Lipschitz; nonsmooth critical point; CRITICAL-POINTS THEOREM; BOUNDARY-VALUE-PROBLEMS; HEMIVARIATIONAL INEQUALITIES; P-LAPLACIAN; EXISTENCE; ORDER;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the two-point boundary-value system -u ''(i) + u(i) is an element of lambda partial derivative(ui) F(u(1), ..., u(n)) + mu partial derivative(ui) G(u(1), ..., u(n)), u'(i)(a) = u'(i)(b) = 0 u(i) >= 0, 1 <= i <= n. Applying a version of nonsmooth three critical points theorem, we show the existence of at least three positive solutions.

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页数：14

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