如果一个方程(组)对于未知函数的所有最高阶导数都是线性的,则称为拟线性方程(组),由最高阶导数组成的部分称为方程的主部,如果拟线性方程主部的各项系数不含未知函数,则称为半线性方程。
第二章中,给出了一类二阶拟线性方程广义有限元解的渐近展式和超收敛结果。
In chapter two, the asymptotic expansion and superconvergence result of a class of second order quasilinear equation in generalized finite element space is presented.
本文针对变量数与方程数不一致的相容非线性方程组(CNLE),先给出拟牛顿(qn)法。
In this paper, a quasi-Newtonian (QN) method for consistent nonlinear equations (CNLE), which number of equations may be unidentified with the number of variables, is given firstly.
本文主要讨论几类非线性方程的(拟)概周期解和(渐近)概自守解的存在性。
In this thesis, we discuss mainly the existence of (pseudo) almost periodic solutions and (asymptotically) almost automorphic solutions for some nonlinear equations.
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