摘要
利用Krasnoselskii不动点定理讨论三阶常微分方程两点边值问题{um(t)+f(t,u(t))=0,t∈[0,1],u(0)=u'(0)=u'(1)=0正解的存在性与多重性,其中f:[0,1]×[0,∞)→[0,∞)连续.采用不等式条件代替以往的极限条件描述非线性的增长条件.
By using the Krasnoselskii' s fixed point theorem,we investigate the existence and multiplicity of positive solutions for third-order two-point boundary value problem {u'''(t) +f('t,u(t))=0,t ∈ [0,1],u(0) =u (0) =u'(1) =0,where f:[0,1] × [0,∞) → [0,∞) is continuous.In this work,the limit conditions are replaced by the inequality conditions to describe the nonlinear growth.
出处
《四川师范大学学报(自然科学版)》
CAS
CSCD
北大核心
2014年第6期810-813,共4页
Journal of Sichuan Normal University(Natural Science)
基金
国家自然科学基金(11261053)
甘肃省自然科学基金(1208RJZA129)资助项目
关键词
常微分方程
边值问题
锥
正解
boundary value problem
cone
positive solutions