摘要
考虑一类具有时滞的二阶非线性方程．通过李雅普诺夫泛函方法，获得周期解与平衡解的存在性和唯一性的四个定理，并获得当ｔ→＋∞时每个解都趋于该唯一的周期解或唯一的平衡解的若干充分条件，还给出平衡解所满足的方程式．
In this paper. a class of second order nonlinear equations with delay is considered. Weobtian four theorems of existence and uniqueness on periodic solutions and equilibrium solutions and also obtain some sufficient conditions for which every solution approaches the unique periodic solution or the unique equilibrium solution as t→+∞ by means of the methodo f Liapunov functional. In addition. we give the equation that equilibrium solutions satisfy.
出处
《北京航空航天大学学报》
EI
CAS
CSCD
北大核心
1994年第4期457-464,共8页
Journal of Beijing University of Aeronautics and Astronautics
基金
国家自然科学基金
航空科学基金
国家教委博士点基金
关键词
非线性方程
周期解
李雅普诺夫泛函
平衡解
non-linear equations
periodic solutions
Liapunov functional
equilibriumsolution
