摘要
借助除去零空间的技巧,利用L-S度数理论讨论了一类具跳跃非线性项的波方程的强迫振动问题,在对非线性项不作单调假设下,给出了一个新的多解定理.
The wave equation u_(tt)-u_(xx)+ g(u) = h(x, t) with u(0,t) = u(π, t) = 0 and u(x, t+2π) = u(x, t) is considered, in which the nonlinear term g(u) is jump and nonmonotone. By Leray-Shauder degree theory, the multiplicity results of weak solutions are given.
出处
《西北师范大学学报（自然科学版）》
CAS
1991年第2期1-5,27,共6页
Journal of Northwest Normal University(Natural Science)
关键词
波方程
周期解
L-S度
零空间
wave equation, periodic solution, wave operator, null space, L-S degree
