摘要
研究两点边值问题:利用Moser定理,证明了对ε→0问题存在古典解,这一结果推广了AguinldolSehmitt,Castro和作者本人的结果。
We study the two point boundary value problem-(a(u_t))_t+bu_t+g(u) +εh(t,u,u_t,u_u)= 0, u(0) = u(T) = o. Using Moser's theorem we prove thatfor every ε close to zero there exists a elassical solution to the problem. Our resultgeneralizes that of L. Aguinaldo, K. Schmitt, A. Castro, and author's results.
出处
《四川大学学报(自然科学版)》
CAS
CSCD
1995年第4期361-367,共7页
Journal of Sichuan University(Natural Science Edition)
关键词
非线性方程
经典解
两点边值问题
nonlinear equation , two point problem , classical solution