泛函边界条件的二阶线性微分方程的解析解及其应用
Exact solutions of some second-order linear differential equationswith functional boundary conditions and applications
我们研究具有泛函边界条件的二阶线性微分方程,得到其解的存在性和惟一性,用格林函数给出了其惟一解的解析式. 作为应用,我们用迭代方法研究了一个非线性奇异边值问题.
Some second-order linear differential equations with functional boundary conditionsare studied. We obtain the existence and uniqueness of their solutions and give exact expressions of the unique solutions by the Green's functions. As applications, we study the solution by iterative method for a nonlinear singular boundary value problem.
赵增勤
数学
应用数学二阶线性微分方程泛函边界条件解析表达式迭代方法
pplied mathematicssecond-order linear differential equationfunctional boundary conditionexact expressionsiterative method
赵增勤.泛函边界条件的二阶线性微分方程的解析解及其应用[EB/OL].(2012-02-16)[2025-08-24].http://www.paper.edu.cn/releasepaper/content/201202-546.点此复制
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