Nontrivial solutions of Hammerstein integral equations with reflections

被引:19
作者
Cabada, Alberto [1 ]
Infante, Gennaro [2 ]
Fernandez Tojo, Fernando Adrian [1 ]
机构
[1] Univ Santiago de Compostela, Fac Matemat, Dept Anal Matemat, Santiago De Compostela 15782, Spain
[2] Univ Calabria, Dipartimento Matemat & Informat, I-87036 Cosenza, Italy
来源
BOUNDARY VALUE PROBLEMS | 2013年
关键词
fixed point index; cone; nontrivial solution; BOUNDARY-VALUE-PROBLEMS; MULTIPLE POSITIVE SOLUTIONS; ALMOST-PERIODIC SOLUTIONS; DIFFERENTIAL-EQUATIONS; LINEAR-OPERATORS; EXISTENCE; THEOREMS;
D O I
10.1186/1687-2770-2013-86
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Using the theory of fixed point index, we establish new results for the existence of nonzero solutions of Hammerstein integral equations with reflections. We apply our results to a first-order periodic boundary value problem with reflections. MSC: 34K10, 34B15, 34K13.
引用
收藏
页码:1 / 22
页数:22
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