摘要
文中证明了当A为单调算子或拟A-proper算子时,有下述二择一结论成立,即或方程Ax-λBx=0有分歧,或当‖f‖足够小时,方程Ax-Bx=f必有解,然后将此结果用于一类二阶拟线性椭园偏微分方程边值问题。
In this paper we proved that, when A is a monotone operator or an A-proper map, either the equation Ax-λBx =0 has a bifurcation or the equation Ax-Bx=f has a solution if ||f|| is small enough. We applied the result to a kind of boundary value pro-blem of quasilinear elliptic partial differential equations of second order.
出处
《高校应用数学学报(A辑)》
CSCD
北大核心
1990年第4期549-554,共6页
Applied Mathematics A Journal of Chinese Universities(Ser.A)
基金
中国科学院科学基金