摘要
本文利用作者在[1]中提供的一个不动点指数计算公式,导出全连续锥算子最大歧点定理和最大渐近歧点定理。然后将这个抽象结果应用于二阶半线性椭圆型方程的狄氏问题,找出其正解的最大歧点和最大渐近歧点。
In the present paper we deduce the Greadest Bifurcation and Asymptotic Bifurcation Point Theorem of a complete continuous cone operation using the computational formala of fixed point index in the referencei [1], and then we use those re- sults to the Dirichlet Problem of a second order semilinear elliptic partial differential equation and obtain greadest bifurcation and asymptotic bifurcation point of positive so- lutions for this problem.
出处
《贵州大学学报(自然科学版)》
1991年第2期65-70,共6页
Journal of Guizhou University:Natural Sciences
关键词
半线性椭圆型方程
最大歧点
最大渐近歧点
不动点指数
全连续锥算子
semilinear elliptic equation
greadest bifurcation point
greadest asymptotic bifurcation point
fixed point Index
complete continuous cone operator