摘要
讨论了边值问题-un=ω(t)f(t,u(t)),u(1)u′(0)-u′(1)=u(12).当ω(t),f(t,u)满足适当的条件时,根据Leggett-William s三解定理,得到了这类边值问题三解存在的充分条件,改进了相关文献的结论。
The existence of triple positive solutions for the second order three-point boundary value problem
{-u^n=ω(t)f(t,u(t))
u(1)u'(0)-u'(1)=u(1/2),
is discussed. We give the exsistence of triple symmetric positive solutions by applying the Leggett-Williams three-solutions. The results of the literatures are developed and extended.
出处
《太原科技大学学报》
2008年第6期486-488,共3页
Journal of Taiyuan University of Science and Technology
基金
山西省自然科学基金(2007011012)