二阶常微分方程边值问题解的存在性
The Existence of Solutions of Second Order Value Problem for Ordinary Differential Equation
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摘要: 设f:[0,1]×R2→R满足Carathéodory条件,a∈L1[0,1],a(·)≥0满足0≤∫10a(t)dt<1.运用Leray-Schauder原理考虑了边值问题x"(t)=f(t,x(t),x'(t)) t∈[0,1]x'(0)=0 x(1)=∫10a(t)x(t)dt解的存在性.
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