吉首大学学报：自然科学版2012，Vol.33Issue(6)：1-9,9.
满足Dirichlet边界条件的2阶奇异微分方程的正解
Positive Solutions of Second-Order Singular Differential Equations with Dirichlet Boundary Condition"
摘要
Abstract
Abstract: The existence and multiplicity of positive solutions are studied for the nonlinear second-order Dirichlet boundary value problem u"(t)-λu(t)+h(t)f(t,u(t))+g(t,u(t))=O O〈t〈l,u(O)=u(1)=O,where λ〉-π2 is a constant and g(t ,u) may be singular at u=O. By exactly estimating the priori bound of solution and applying the Guo-Krasnoselskii fixed point theorem of cone expansion-compression type, several existence theorems are established.关键词
非线性常微分方程/奇异边值问题/正解/存在性与多解性Key words
nonlinear ordinary differential equation/singular boundary value problem/positive solution/existence and multiplicity分类
天文与地球科学引用本文复制引用
姚庆六..满足Dirichlet边界条件的2阶奇异微分方程的正解[J].吉首大学学报：自然科学版,2012,33(6):1-9,9.基金项目
National Natural Science Foundation of China （）
