摘要
考虑如下的２阶非线性方程的边值问题：ｘ″＝λ（Ａｘ＋Ｂｘ′）＋ｆ（ｔ，ｘ，ｘ′，λ）（０≤ｔ≤１），ｘ（０）＝ｘ（ｌ）＝０．在关于Ａ，Ｂ，ｆ的一组条件下，利用Ｋｒａｓｎｏｓｅｌｓｋｉｉ定理证明了上述问题存在分歧点。
A boundary value problem of second order nonlinear differential equation,x″=λ(Ax +Bx′)+f(t,x,x′λ)(0≤t≤l),x(0) =x(l )=0 is investigated.Under certain conditionson A,B andf,it is proved that there exists a bifurcation point.The main tool iised is theKrasnoselskii theorem for local bifurcations. Two special cases of importance are studied andspecific corollaries are obtained.
出处
《华中理工大学学报》
CSCD
北大核心
1994年第1X期177-182,共6页
Journal of Huazhong University of Science and Technology
