Positive Solutions of a Fractional Thermostat Model with a Parameter

被引：14
作者：
Hao, Xinan [1 ]
Zhang, Luyao [1 ]
机构：
[1] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Peoples R China
来源：
SYMMETRY-BASEL | 2019年 / 11卷 / 01期
基金：
中国国家自然科学基金; 中国博士后科学基金;
关键词：
positive solution; fractional thermostat model; fixed point index; dependence on a parameter; HAMMERSTEIN INTEGRAL-EQUATIONS; BOUNDARY-VALUE-PROBLEMS; NONTRIVIAL SOLUTIONS; EXISTENCE;
D O I：
10.3390/sym11010122
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
We study the existence, multiplicity, and uniqueness results of positive solutions for a fractional thermostat model. Our approach depends on the fixed point index theory, iterative method, and nonsymmetry property of the Green function. The properties of positive solutions depending on a parameter are also discussed.
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页数：9
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