%0 Journal Article
%T 带积分边界条件的非线性二阶常微分方程多个正解的存在性<br>Existence of Multiple Positive	Solutions for Nonlinear Second-Order Ordinary Differential Equations with Integral Boundary Conditions
%A 康慧君
%J Pure Mathematics
%P 1067-1075
%@ 2160-7605
%D 2021
%I Hans Publishing
%R 10.12677/PM.2021.116121
%X <div style=\"text-align:justify;\">
	运用锥上的 Krasnoselskii’s 不动点定理,考虑了二阶积分边值问题<img src=\"Edit_7d8a94f4-ea50-4a63-80e5-c57381019ede.png\" alt=\"\" /> 多个正解的存在性,其中0 &lt; η &lt; 1是常数,0 &lt; λ &lt; 2/n<sup>2</sup>是参数,f:[0,1]×[0,∞)→[0,∞)是连续函数,a:[0,1]→[0,+∞)是连续函数,且在[0,1]的任一子区间上不恒为零.<br />
In this paper, we study existence of multiple positive solutions for second-order ordinary differential equations with integral boundary problem<img src=\"Edit_ebab1410-04fa-4416-8981-85612cafbc18.png\" alt=\"\" /> by the Krasnoselskii’s fixed point theorem on cones. where 0 &lt; η &lt; 1 is a constant, 0 &lt; λ &lt; 2/n<sup>2</sup> is a parameter, f:[0,1]×[0,∞)→[0,∞) is continuous, a:[0,1]→[0,+∞) is continuous, and a(t) ？ 0 on any subinterval of [0,1].
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%K 积分边界条件，二阶，多个正解，Krasnoselskii’s不动点定理<br>Integral Boundary Conditions
%K Second-Order
%K Multiple Positive Solutions
%K Krasnoselskii’s Fixed Point Theorem
%U http://www.hanspub.org/journal/PaperInformation.aspx?PaperID=43085