一类非线性四阶两点边值问题的可解性
Solvability of a class of nonlinear fourth-order two-point boundary value problems
考察了一类非线性项含有一阶、二阶与三阶导数的四阶两点边值问题的解和正解.通过构造适当的Banach空间并且利用相应的积分方程建立了两个存在定理.主要工具是Lerry-Shauder不动点定理。
he solution and positive solution are considered for a class of fourth-order two-point boundary value problems whose nonlinear term contains first,second,and third derivatives. By constructing suitable Banach space and corresponding integral equation,two existence theorems are established.The main integredient is the Leray-Schauder fixed point theorem.
苏星星、杨成、施恂栋、陈海亮
数学
四阶常微分方程两点边值问题解和正解解的存在性
fourth-order ordinary differential equationtwo-point boundary value problemsolution and positive solutionexistence of solution
苏星星,杨成,施恂栋,陈海亮.一类非线性四阶两点边值问题的可解性[EB/OL].(2010-02-03)[2025-07-16].http://www.paper.edu.cn/releasepaper/content/201002-156.点此复制
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