Positive Solutions for Some Semi-positone Problems with Nonlinear Boundary Conditions via Bifurcation Theory

被引：7
|
作者：
Ma, Ruyun [1 ]
Wang, Suyun [2 ]
机构：
[1] Xidian Univ, Sch Math & Stat, Xian 710071, Peoples R China
[2] Lanzhou City Univ, Dept Math, Lanzhou 730070, Peoples R China
来源：
MEDITERRANEAN JOURNAL OF MATHEMATICS | 2020年 / 17卷 / 01期
关键词：
Eigenvalues; positive solutions; topological degree; connected set; bifurcation from infinity; RADIAL SOLUTIONS; SEMIPOSITONE PROBLEMS; EXISTENCE; EXTERIOR; EQUATIONS;
D O I：
10.1007/s00009-019-1443-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Bifurcation theory is used to prove the existence of positive solutions of some classes of semi-positone problems with nonlinear boundary conditions {-u '' = lambda f(t, u), t is an element of (0, 1), u(0) = 0, u'(1) + c(u(1)u(1) = 0, where c : [0,infinity) -> [0, infinity) is continuous, f : [0, infinity) -> R is continuous and f(t, 0) < 0 for t is an element of [0, 1].
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页数：12
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