摘要
〔1〕与〔2〕中,我们研究了含奇线的三阶线性双曲方程,当其系数满足一定关系时,可得出定解问题的显式解。本文改进了〔1〕与〔2〕中对系数的限制过多、过严的要求,只要其中的系数满足较弱的条件时,即可得到显式解。这对含奇性的三阶线性偏微分方程的定性讨论提供了可能。
In [1] and [2], we have dealt with a linear hyperbolic equationof third order of line of singularity. When the coefficients of the equation arerequired to satisfy a certain relation, the explicit solution for problem of definitesolution can be obtained. In this paper, we improve the demands which limite thecoefficients too much and too strictly in [1] and [2]. As long as the coeffcientsare required to satisfy the less limited and strict conditons, the explicit solution canbe found correspondingly. This opens up the possibility for the qualitative discussionof singular linear partial differential equation of third order.
出处
《南昌大学学报（工科版）》
CAS
1990年第1期1-3,共3页
Journal of Nanchang University(Engineering & Technology)
关键词
奇三阶线性偏微分方程
含奇线的三阶线性双曲方程
singular linear partial differential equation of third order
linear hyperbolic equation of third order of line singularity
