摘要
为了解决可降阶非线性四阶边值问题,利用半逆法来建立其变分原理.基于变分原理,选取一些未知参数,由J(y)基于这些参数是平稳的,找出方程的近似解,然后与精确解相比较,进一步证实我们分析的有效性,可知半逆法在解决可降阶非线性四阶边值问题时是有效的且简单易懂。
To solve a kind of reducible nolinear fourth-order ordinary differential equation boundary vatue probtems, we use me semi-reverse variational method to establish its variational principles. Based on the variational principles, we choose some unknown parameters. Because J（y） based on these parameters is stationary, find out the approximate solutions of the equations, then compared with the exact solutions, we can further proved the validity of our analysis. Thus, the semi-inverse variational method is valid and understandable of solving the reducible nolinear fourth-order boundary value problems.
出处
《科技信息》
2011年第5期I0144-I0145,共2页
Science & Technology Information
关键词
半逆法
边值问题
最简泛函
Semi-inverse
Boundary value problem
Simplest functional
