数学研究
數學研究
수학연구
JOURNAL OF MATHEMATICAL STUDY
2004年
1期
17-20
,共4页
渐近性%套层解%初始层函数%抛物型方程%比较定理
漸近性%套層解%初始層函數%拋物型方程%比較定理
점근성%투층해%초시층함수%포물형방정%비교정리
asymptotic expansion%jacketed solution%hyperbolic equation%singular perturbation
运用了初始层函数构造了一类非线性奇摄动抛物型方程初值问题解的渐近展开式,并证明了该展开式达到任意精度的一致有效性.
運用瞭初始層函數構造瞭一類非線性奇攝動拋物型方程初值問題解的漸近展開式,併證明瞭該展開式達到任意精度的一緻有效性.
운용료초시층함수구조료일류비선성기섭동포물형방정초치문제해적점근전개식,병증명료해전개식체도임의정도적일치유효성.
In this paper, the asymptotic expansion of the solution of initial value problem for a class of nonlinear singularly perturbed hyperbolic equations which have double initial layer properties is constructed. The uniform valid of the constructed asymptotic expansion of the solution of is proved.