摘要
用逐次逼近法获得了非线性Volterra积分方程任意阶近似解析解,为文献[1]所给普遍的非线性动力系统方程任意阶近似解析解提供另一种推导途径;给出了近似解收敛性的数学证明。
General nonlinear dynamic system equation is equivalent to its nonlinear volterra's integral equation, and any order approximate analytical solution of the nonlinear volterra's integral equation is obtained, by successive approximation method, thus another derivation procedure for any order approximate analytical solution of the general nonlinear dynamic system equation discussed in the reference[1] is given. In the meantime, a mathematical proof of convergence of the approximate solution is also given.
出处
《核科学与工程》
CSCD
北大核心
1992年第2期173-180,6,共8页
Nuclear Science and Engineering
