Pairs of positive periodic solutions of nonlinear ODEs with indefinite weight: a topological degree approach for the super-sublinear case

被引：25

作者：

Boscaggin, Alberto ^{[1
]}

Feltrin, Guglielmo ^{[2
]}

Zanolin, Fabio ^{[3
]}

机构：

[1] Univ Turin, Dipartimento Matemat Giuseppe Peano, Via Carlo Alberto 10, I-10123 Turin, Italy

[2] SISSA Int Sch Adv Studies, Via Bonomea 265, I-34136 Trieste, Italy

[3] Univ Udine, Dipartimento Matemat Informat & Fis, Via Sci 206, I-33100 Udine, Italy

来源：

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS | 2016年 / 146卷 / 03期

关键词：

boundary-value problems; positive solutions; indefinite weight; multiplicity results; coincidence degree; EXISTENCE; EQUATIONS; MULTIPLICITY; NEUMANN;

D O I：

10.1017/S0308210515000621

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the periodic and Neumann boundary-value problems associated with the second-order nonlinear differential equation u '' vertical bar cu' vertical bar lambda a(t)g(u) - 0, where g: [0,+infinity[ -> [0,+8[ is a sublinear function at infinity having superlinear growth at zero. We prove the existence of two positive solutions when integral(T)(0) a(t) dt < 0 and lambda > 0 is sufficiently large. Our approach is based on Mawhin's coincidence degree theory and index computations.

引用

页码：449 / 474

页数：26

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