摘要
本文在假设条件(H_1)和(H_2)之下,证明了奇异的非线性边值问题(1.1),(1.2)的正解的存在性和唯一性。
In this paper the existence and uniqueness of positive solutions for the singular nonlinear boundary value problems (1. 1) and (1. 2) are proved under the following hypotheses:(H_1) f(t,y) is a nonnegative continuous function defined on [0, 1]×(0, ∞), which is nonincreasing on y for all t∈ [0, 1].(H_2) φ(x) is a continuous function defined on [0, ∞) such that φ(x)>0, x∈(0, ∞), and for any constant M>0, φ(x)dx<∞.
出处
《吉林大学自然科学学报》
CAS
CSCD
1992年第1期47-50,共4页
Acta Scientiarum Naturalium Universitatis Jilinensis
关键词
边值问题
正解
唯一性
常微分方程
singular nonlinear boundary value problem
positive solution
uniqueness
existence
