四川师范大学学报(自然科学版)
四川師範大學學報(自然科學版)
사천사범대학학보(자연과학판)
JOURNAL OF SICHUAN NORMAL UNIVERSITY(NATURAL SCIENCE)
2009年
3期
287-296
,共10页
Tricomi问题%非线性混合型方程%退化秩为0
Tricomi問題%非線性混閤型方程%退化秩為0
Tricomi문제%비선성혼합형방정%퇴화질위0
Tricomi problem%Nonlinear mixed equations%Degenerate rank 0
讨论退化秩为0的二阶非线性混合型方程的Tricomi问题,先给出这个问题的提法,得到了解的表示式,然后由逐次叠代的方法和列紧性原理证明这个问题解的存在性.
討論退化秩為0的二階非線性混閤型方程的Tricomi問題,先給齣這箇問題的提法,得到瞭解的錶示式,然後由逐次疊代的方法和列緊性原理證明這箇問題解的存在性.
토론퇴화질위0적이계비선성혼합형방정적Tricomi문제,선급출저개문제적제법,득도료해적표시식,연후유축차첩대적방법화렬긴성원리증명저개문제해적존재성.
The present paper deals with the Tricomi problem for second order nonlinear mixed equations with degenerate rank 0. Firstly the formulation of the problem for the equations is proposed, secondly the representation of solutions for the above problem is obtained, finally the existence of solutions for the problem is proved by the successive iteration and the method of parameter extension.