广西民族大学学报：自然科学版
廣西民族大學學報：自然科學版
엄서민족대학학보：자연과학판
Journal of Guangxi University For Nationalities(Natural Science Edition)
2012年
2期
57-60
,共4页
边值问题%锥%不动点理论%正解
邊值問題%錐%不動點理論%正解
변치문제%추%불동점이론%정해
boundary value problem%cone%fixed-point theorem%positive solution
运用锥拉伸与锥压缩的Krasnoselskii不动点理论，讨论了一类离散m点边值问题．在极限limu→0u^-f（u）,u→∞^-f（u）∈{0,∞}的情形下，获得了其存在至少一个正解的充分性条件，推广了已有文献的一些结果．
運用錐拉伸與錐壓縮的Krasnoselskii不動點理論，討論瞭一類離散m點邊值問題．在極限limu→0u^-f（u）,u→∞^-f（u）∈{0,∞}的情形下，穫得瞭其存在至少一箇正解的充分性條件，推廣瞭已有文獻的一些結果．
운용추랍신여추압축적Krasnoselskii불동점이론，토론료일류리산m점변치문제．재겁한limu→0u^-f（u）,u→∞^-f（u）∈{0,∞}적정형하，획득료기존재지소일개정해적충분성조건，추엄료이유문헌적일사결과．
In this paper, by using the Krasnoselskii fixed point theorem on cone expansion and compression type, some sufficient conditions under which a. class of discrete m -point boundary value problem has at least one positive solution were obtained.While limu→0u^-f（u）,u→∞^-f（u）∈{0,∞}.The results improved those in known literatures.
