SOLVABILITY FOR SECOND-ORDER M-POINT BOUNDARY VALUE PROBLEMS AT RESONANCE ON THE HALF-LINE

被引：0
|
作者：
Liu, Yang [1 ]
Li, Dong [2 ]
Fang, Ming [3 ]
机构：
[1] Hefei Teachers Coll, Dept Math, Hefei 230061, Anhui, Peoples R China
[2] Jiamusi Univ, Dept Math, Jiamusi 154007, Heilongjiang, Peoples R China
[3] Yanbian Univ, Dept Math, Yanji 133000, Jilin, Peoples R China
来源：
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2009年
关键词：
m-point boundary value problem; resonance; half-line; coincidence degree theory; DIFFERENTIAL-EQUATIONS; UNBOUNDED SOLUTIONS; POSITIVE SOLUTIONS; EXISTENCE;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we investigate the existence of positive solutions for second-order m-point boundary-value problems at resonance on the half-line (q(t) x'(t))' = f(t, x(t), x'(t)), a.e. in (0, infinity), x(0) = Sigma(m-2)(i-1)alpha(i)x(xi(i)), lim(t ->infinity) q(t) x'(t) = 0. Some existence results are obtained by using the Mawhin's coincidence theory.
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页数：11
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